id	sid	tid	token	lemma	pos
american_scientific_journal-3172	1	1	114	114	NUM
american_scientific_journal-3172	1	2	american	american	ADJ
american_scientific_journal-3172	1	3	scientific	scientific	ADJ
american_scientific_journal-3172	1	4	research	research	NOUN
american_scientific_journal-3172	1	5	journal	journal	NOUN
american_scientific_journal-3172	1	6	for	for	ADP
american_scientific_journal-3172	1	7	engineering	engineering	NOUN
american_scientific_journal-3172	1	8	,	,	PUNCT
american_scientific_journal-3172	1	9	technology	technology	NOUN
american_scientific_journal-3172	1	10	,	,	PUNCT
american_scientific_journal-3172	1	11	and	and	CCONJ
american_scientific_journal-3172	1	12	sciences	science	NOUN
american_scientific_journal-3172	1	13	(	(	PUNCT
american_scientific_journal-3172	1	14	asrjets	asrjet	NOUN
american_scientific_journal-3172	1	15	)	)	PUNCT
american_scientific_journal-3172	1	16	issn	issn	PROPN
american_scientific_journal-3172	1	17	(	(	PUNCT
american_scientific_journal-3172	1	18	print	print	NOUN
american_scientific_journal-3172	1	19	)	)	PUNCT
american_scientific_journal-3172	1	20	2313	2313	NUM
american_scientific_journal-3172	1	21	-	-	SYM
american_scientific_journal-3172	1	22	4410	4410	NUM
american_scientific_journal-3172	1	23	,	,	PUNCT
american_scientific_journal-3172	1	24	issn	issn	PROPN
american_scientific_journal-3172	1	25	(	(	PUNCT
american_scientific_journal-3172	1	26	online	online	ADJ
american_scientific_journal-3172	1	27	)	)	PUNCT
american_scientific_journal-3172	1	28	2313	2313	NUM
american_scientific_journal-3172	1	29	-	-	SYM
american_scientific_journal-3172	1	30	4402	4402	NUM
american_scientific_journal-3172	1	31	©	©	PROPN
american_scientific_journal-3172	1	32	global	global	ADJ
american_scientific_journal-3172	1	33	society	society	NOUN
american_scientific_journal-3172	1	34	of	of	ADP
american_scientific_journal-3172	1	35	scientific	scientific	ADJ
american_scientific_journal-3172	1	36	research	research	NOUN
american_scientific_journal-3172	1	37	and	and	CCONJ
american_scientific_journal-3172	1	38	researchers	researcher	NOUN
american_scientific_journal-3172	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	VERB
american_scientific_journal-3172	1	40	the	the	DET
american_scientific_journal-3172	1	41	proton	proton	NOUN
american_scientific_journal-3172	1	42	problem	problem	NOUN
american_scientific_journal-3172	1	43	&	&	CCONJ
american_scientific_journal-3172	1	44	proton	proton	NOUN
american_scientific_journal-3172	1	45	spin	spin	NOUN
american_scientific_journal-3172	1	46	crisis	crisis	NOUN
american_scientific_journal-3172	1	47	:	:	PUNCT
american_scientific_journal-3172	1	48	the	the	DET
american_scientific_journal-3172	1	49	color	color	NOUN
american_scientific_journal-3172	1	50	confinement	confinement	NOUN
american_scientific_journal-3172	1	51	mathematical	mathematical	ADJ
american_scientific_journal-3172	1	52	mechanism	mechanism	NOUN
american_scientific_journal-3172	1	53	for	for	ADP
american_scientific_journal-3172	1	54	the	the	DET
american_scientific_journal-3172	1	55	existence	existence	NOUN
american_scientific_journal-3172	1	56	of	of	ADP
american_scientific_journal-3172	1	57	the	the	DET
american_scientific_journal-3172	1	58	hadrons	hadron	NOUN
american_scientific_journal-3172	1	59	yazzed	yazze	VERB
american_scientific_journal-3172	1	60	al	al	PROPN
american_scientific_journal-3172	1	61	-	-	PUNCT
american_scientific_journal-3172	1	62	harbi	harbi	PROPN
american_scientific_journal-3172	1	63	*	*	PUNCT
american_scientific_journal-3172	1	64	king	king	PROPN
american_scientific_journal-3172	1	65	abdulaziz	abdulaziz	PROPN
american_scientific_journal-3172	1	66	&	&	CCONJ
american_scientific_journal-3172	1	67	his	his	PRON
american_scientific_journal-3172	1	68	companions	companion	NOUN
american_scientific_journal-3172	1	69	foundation	foundation	VERB
american_scientific_journal-3172	1	70	for	for	ADP
american_scientific_journal-3172	1	71	giftedness	giftedness	NOUN
american_scientific_journal-3172	1	72	&	&	CCONJ
american_scientific_journal-3172	1	73	creativity	creativity	NOUN
american_scientific_journal-3172	1	74	nawariyah	nawariyah	NOUN
american_scientific_journal-3172	1	75	,	,	PUNCT
american_scientific_journal-3172	1	76	makkah	makkah	PROPN
american_scientific_journal-3172	1	77	21514	21514	NUM
american_scientific_journal-3172	1	78	,	,	PUNCT
american_scientific_journal-3172	1	79	saudi	saudi	PROPN
american_scientific_journal-3172	1	80	arabia	arabia	PROPN
american_scientific_journal-3172	1	81	email	email	NOUN
american_scientific_journal-3172	1	82	:	:	PUNCT
american_scientific_journal-3172	1	83	yazzed4444@gmail.com	yazzed4444@gmail.com	X
american_scientific_journal-3172	2	1	abstract	abstract	ADJ
american_scientific_journal-3172	2	2	in	in	ADP
american_scientific_journal-3172	2	3	this	this	DET
american_scientific_journal-3172	2	4	paper	paper	NOUN
american_scientific_journal-3172	2	5	we	we	PRON
american_scientific_journal-3172	2	6	will	will	AUX
american_scientific_journal-3172	2	7	show	show	VERB
american_scientific_journal-3172	2	8	the	the	DET
american_scientific_journal-3172	2	9	provement	provement	NOUN
american_scientific_journal-3172	2	10	of	of	ADP
american_scientific_journal-3172	2	11	the	the	DET
american_scientific_journal-3172	2	12	hadrons	hadron	NOUN
american_scientific_journal-3172	2	13	existence	existence	NOUN
american_scientific_journal-3172	2	14	mechanism	mechanism	NOUN
american_scientific_journal-3172	2	15	.	.	PUNCT
american_scientific_journal-3172	3	1	its	its	PRON
american_scientific_journal-3172	3	2	duo	duo	NOUN
american_scientific_journal-3172	3	3	to	to	ADP
american_scientific_journal-3172	3	4	the	the	DET
american_scientific_journal-3172	3	5	physical	physical	ADJ
american_scientific_journal-3172	3	6	consequences	consequence	NOUN
american_scientific_journal-3172	3	7	of	of	ADP
american_scientific_journal-3172	3	8	the	the	DET
american_scientific_journal-3172	3	9	spinning	spinning	NOUN
american_scientific_journal-3172	3	10	quarks	quarks	NOUN
american_scientific_journal-3172	3	11	and	and	CCONJ
american_scientific_journal-3172	3	12	the	the	DET
american_scientific_journal-3172	3	13	color	color	NOUN
american_scientific_journal-3172	3	14	charge	charge	NOUN
american_scientific_journal-3172	3	15	.	.	PUNCT
american_scientific_journal-3172	4	1	when	when	SCONJ
american_scientific_journal-3172	4	2	we	we	PRON
american_scientific_journal-3172	4	3	simulate	simulate	VERB
american_scientific_journal-3172	4	4	the	the	DET
american_scientific_journal-3172	4	5	supposed	suppose	VERB
american_scientific_journal-3172	4	6	situation	situation	NOUN
american_scientific_journal-3172	4	7	by	by	ADP
american_scientific_journal-3172	4	8	mathematics	mathematic	NOUN
american_scientific_journal-3172	4	9	we	we	PRON
american_scientific_journal-3172	4	10	find	find	VERB
american_scientific_journal-3172	4	11	that	that	SCONJ
american_scientific_journal-3172	4	12	it	it	PRON
american_scientific_journal-3172	4	13	's	be	AUX
american_scientific_journal-3172	4	14	achieves	achieve	VERB
american_scientific_journal-3172	4	15	the	the	DET
american_scientific_journal-3172	4	16	perfect	perfect	ADJ
american_scientific_journal-3172	4	17	understanding	understanding	NOUN
american_scientific_journal-3172	4	18	of	of	ADP
american_scientific_journal-3172	4	19	the	the	DET
american_scientific_journal-3172	4	20	all	all	DET
american_scientific_journal-3172	4	21	physical	physical	ADJ
american_scientific_journal-3172	4	22	interactions	interaction	NOUN
american_scientific_journal-3172	4	23	and	and	CCONJ
american_scientific_journal-3172	4	24	all	all	DET
american_scientific_journal-3172	4	25	the	the	DET
american_scientific_journal-3172	4	26	mysteries	mystery	NOUN
american_scientific_journal-3172	4	27	of	of	ADP
american_scientific_journal-3172	4	28	the	the	DET
american_scientific_journal-3172	4	29	particle	particle	NOUN
american_scientific_journal-3172	4	30	physics	physics	NOUN
american_scientific_journal-3172	4	31	with	with	ADP
american_scientific_journal-3172	4	32	its	its	PRON
american_scientific_journal-3172	4	33	measurements	measurement	NOUN
american_scientific_journal-3172	4	34	which	which	PRON
american_scientific_journal-3172	4	35	proved	prove	VERB
american_scientific_journal-3172	4	36	experimentally	experimentally	ADV
american_scientific_journal-3172	4	37	.	.	PUNCT
american_scientific_journal-3172	5	1	keywords	keyword	NOUN
american_scientific_journal-3172	5	2	:	:	PUNCT
american_scientific_journal-3172	5	3	the	the	DET
american_scientific_journal-3172	5	4	proton	proton	NOUN
american_scientific_journal-3172	5	5	problem	problem	NOUN
american_scientific_journal-3172	5	6	;	;	PUNCT
american_scientific_journal-3172	5	7	the	the	DET
american_scientific_journal-3172	5	8	proton	proton	NOUN
american_scientific_journal-3172	5	9	spin	spin	NOUN
american_scientific_journal-3172	5	10	crisis	crisis	NOUN
american_scientific_journal-3172	5	11	;	;	PUNCT
american_scientific_journal-3172	5	12	the	the	DET
american_scientific_journal-3172	5	13	color	color	NOUN
american_scientific_journal-3172	5	14	confinement	confinement	NOUN
american_scientific_journal-3172	5	15	;	;	PUNCT
american_scientific_journal-3172	5	16	proton	proton	NOUN
american_scientific_journal-3172	5	17	radius	radius	NOUN
american_scientific_journal-3172	5	18	;	;	PUNCT
american_scientific_journal-3172	5	19	the	the	DET
american_scientific_journal-3172	5	20	hadrons	hadron	NOUN
american_scientific_journal-3172	5	21	structure	structure	NOUN
american_scientific_journal-3172	5	22	;	;	PUNCT
american_scientific_journal-3172	5	23	the	the	DET
american_scientific_journal-3172	5	24	quarks	quarks	NOUN
american_scientific_journal-3172	5	25	spin	spin	VERB
american_scientific_journal-3172	5	26	effect	effect	NOUN
american_scientific_journal-3172	5	27	;	;	PUNCT
american_scientific_journal-3172	5	28	spherical	spherical	ADJ
american_scientific_journal-3172	5	29	color	color	NOUN
american_scientific_journal-3172	5	30	charged	charge	VERB
american_scientific_journal-3172	5	31	energy	energy	NOUN
american_scientific_journal-3172	5	32	as	as	ADP
american_scientific_journal-3172	5	33	higgs	higgs	PROPN
american_scientific_journal-3172	5	34	bososns	bososns	PROPN
american_scientific_journal-3172	5	35	waves	wave	NOUN
american_scientific_journal-3172	5	36	.	.	PUNCT
american_scientific_journal-3172	6	1	1	1	X
american_scientific_journal-3172	6	2	.	.	X
american_scientific_journal-3172	6	3	introduction	introduction	NOUN
american_scientific_journal-3172	6	4	there	there	PRON
american_scientific_journal-3172	6	5	are	be	VERB
american_scientific_journal-3172	6	6	lots	lot	NOUN
american_scientific_journal-3172	6	7	of	of	ADP
american_scientific_journal-3172	6	8	mysterious	mysterious	ADJ
american_scientific_journal-3172	6	9	data	datum	NOUN
american_scientific_journal-3172	6	10	about	about	ADP
american_scientific_journal-3172	6	11	the	the	DET
american_scientific_journal-3172	6	12	hadrons	hadron	NOUN
american_scientific_journal-3172	6	13	.	.	PUNCT
american_scientific_journal-3172	7	1	the	the	DET
american_scientific_journal-3172	7	2	recent	recent	ADJ
american_scientific_journal-3172	7	3	determination	determination	NOUN
american_scientific_journal-3172	7	4	of	of	ADP
american_scientific_journal-3172	7	5	the	the	DET
american_scientific_journal-3172	7	6	proton	proton	NOUN
american_scientific_journal-3172	7	7	radius	radius	NOUN
american_scientific_journal-3172	7	8	using	use	VERB
american_scientific_journal-3172	7	9	the	the	DET
american_scientific_journal-3172	7	10	measurement	measurement	NOUN
american_scientific_journal-3172	7	11	of	of	ADP
american_scientific_journal-3172	7	12	the	the	DET
american_scientific_journal-3172	7	13	lamb	lamb	PROPN
american_scientific_journal-3172	7	14	shift	shift	NOUN
american_scientific_journal-3172	7	15	in	in	ADP
american_scientific_journal-3172	7	16	muonic	muonic	ADJ
american_scientific_journal-3172	7	17	hydrogen	hydrogen	NOUN
american_scientific_journal-3172	7	18	atom	atom	NOUN
american_scientific_journal-3172	7	19	experiment	experiment	NOUN
american_scientific_journal-3172	7	20	startled	startle	VERB
american_scientific_journal-3172	7	21	the	the	DET
american_scientific_journal-3172	7	22	physics	physics	NOUN
american_scientific_journal-3172	7	23	world	world	NOUN
american_scientific_journal-3172	7	24	.	.	PUNCT
american_scientific_journal-3172	8	1	the	the	DET
american_scientific_journal-3172	8	2	obtained	obtain	VERB
american_scientific_journal-3172	8	3	value	value	NOUN
american_scientific_journal-3172	8	4	of	of	ADP
american_scientific_journal-3172	8	5	0.84087(39	0.84087(39	NUM
american_scientific_journal-3172	8	6	)	)	PUNCT
american_scientific_journal-3172	8	7	fm	fm	PROPN
american_scientific_journal-3172	8	8	is	be	AUX
american_scientific_journal-3172	8	9	4	4	NUM
american_scientific_journal-3172	8	10	%	%	NOUN
american_scientific_journal-3172	8	11	smaller	small	ADJ
american_scientific_journal-3172	8	12	than	than	ADP
american_scientific_journal-3172	8	13	the	the	DET
american_scientific_journal-3172	8	14	value	value	NOUN
american_scientific_journal-3172	8	15	of	of	ADP
american_scientific_journal-3172	8	16	the	the	DET
american_scientific_journal-3172	8	17	codata	codata	NOUN
american_scientific_journal-3172	8	18	which	which	PRON
american_scientific_journal-3172	8	19	is	be	AUX
american_scientific_journal-3172	8	20	0.8775(51	0.8775(51	NUM
american_scientific_journal-3172	8	21	)	)	PUNCT
american_scientific_journal-3172	8	22	fm	fm	NOUN
american_scientific_journal-3172	8	23	.	.	PROPN
american_scientific_journal-3172	9	1	and	and	CCONJ
american_scientific_journal-3172	9	2	actually	actually	ADV
american_scientific_journal-3172	9	3	that	that	PRON
american_scientific_journal-3172	9	4	’s	’s	AUX
american_scientific_journal-3172	9	5	called	call	VERB
american_scientific_journal-3172	9	6	"	"	PUNCT
american_scientific_journal-3172	9	7	the	the	DET
american_scientific_journal-3172	9	8	proton	proton	NOUN
american_scientific_journal-3172	9	9	radius	radius	NOUN
american_scientific_journal-3172	9	10	puzzle	puzzle	NOUN
american_scientific_journal-3172	9	11	"	"	PUNCT
american_scientific_journal-3172	9	12	[	[	X
american_scientific_journal-3172	9	13	1,2	1,2	NUM
american_scientific_journal-3172	9	14	]	]	PUNCT
american_scientific_journal-3172	9	15	.	.	PUNCT
american_scientific_journal-3172	10	1	in	in	ADP
american_scientific_journal-3172	10	2	this	this	DET
american_scientific_journal-3172	10	3	paper	paper	NOUN
american_scientific_journal-3172	10	4	,	,	PUNCT
american_scientific_journal-3172	10	5	we	we	PRON
american_scientific_journal-3172	10	6	will	will	AUX
american_scientific_journal-3172	10	7	consider	consider	VERB
american_scientific_journal-3172	10	8	an	an	DET
american_scientific_journal-3172	10	9	idea	idea	NOUN
american_scientific_journal-3172	10	10	that	that	PRON
american_scientific_journal-3172	10	11	makes	make	VERB
american_scientific_journal-3172	10	12	the	the	DET
american_scientific_journal-3172	10	13	obtained	obtain	VERB
american_scientific_journal-3172	10	14	high	high	ADJ
american_scientific_journal-3172	10	15	-	-	PUNCT
american_scientific_journal-3172	10	16	precision	precision	NOUN
american_scientific_journal-3172	10	17	measured	measure	VERB
american_scientific_journal-3172	10	18	values	value	NOUN
american_scientific_journal-3172	10	19	as	as	ADP
american_scientific_journal-3172	10	20	a	a	DET
american_scientific_journal-3172	10	21	dependent	dependent	ADJ
american_scientific_journal-3172	10	22	variables	variable	NOUN
american_scientific_journal-3172	10	23	of	of	ADP
american_scientific_journal-3172	10	24	the	the	DET
american_scientific_journal-3172	10	25	planck	planck	NOUN
american_scientific_journal-3172	10	26	length	length	NOUN
american_scientific_journal-3172	10	27	in	in	ADP
american_scientific_journal-3172	10	28	a	a	DET
american_scientific_journal-3172	10	29	function	function	NOUN
american_scientific_journal-3172	10	30	.	.	PUNCT
american_scientific_journal-3172	11	1	and	and	CCONJ
american_scientific_journal-3172	11	2	we	we	PRON
american_scientific_journal-3172	11	3	just	just	ADV
american_scientific_journal-3172	11	4	modeling	model	VERB
american_scientific_journal-3172	11	5	the	the	DET
american_scientific_journal-3172	11	6	idea	idea	NOUN
american_scientific_journal-3172	11	7	by	by	ADP
american_scientific_journal-3172	11	8	mathematics	mathematic	NOUN
american_scientific_journal-3172	11	9	to	to	PART
american_scientific_journal-3172	11	10	reach	reach	VERB
american_scientific_journal-3172	11	11	the	the	DET
american_scientific_journal-3172	11	12	abstract	abstract	ADJ
american_scientific_journal-3172	11	13	proof	proof	ADJ
american_scientific_journal-3172	11	14	step	step	NOUN
american_scientific_journal-3172	11	15	by	by	ADP
american_scientific_journal-3172	11	16	step	step	NOUN
american_scientific_journal-3172	11	17	.	.	PUNCT
american_scientific_journal-3172	12	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-3172	13	1	*	*	PUNCT
american_scientific_journal-3172	13	2	corresponding	correspond	VERB
american_scientific_journal-3172	13	3	author	author	NOUN
american_scientific_journal-3172	13	4	.	.	PUNCT
american_scientific_journal-3172	14	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-3172	14	2	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-3172	14	3	american	american	ADJ
american_scientific_journal-3172	14	4	scientific	scientific	ADJ
american_scientific_journal-3172	14	5	research	research	NOUN
american_scientific_journal-3172	14	6	journal	journal	NOUN
american_scientific_journal-3172	14	7	for	for	ADP
american_scientific_journal-3172	14	8	engineering	engineering	NOUN
american_scientific_journal-3172	14	9	,	,	PUNCT
american_scientific_journal-3172	14	10	technology	technology	NOUN
american_scientific_journal-3172	14	11	,	,	PUNCT
american_scientific_journal-3172	14	12	and	and	CCONJ
american_scientific_journal-3172	14	13	sciences	science	NOUN
american_scientific_journal-3172	14	14	(	(	PUNCT
american_scientific_journal-3172	14	15	asrjets	asrjet	NOUN
american_scientific_journal-3172	14	16	)	)	PUNCT
american_scientific_journal-3172	14	17	(	(	PUNCT
american_scientific_journal-3172	14	18	2017	2017	NUM
american_scientific_journal-3172	14	19	)	)	PUNCT
american_scientific_journal-3172	14	20	volume	volume	NOUN
american_scientific_journal-3172	14	21	34	34	NUM
american_scientific_journal-3172	14	22	,	,	PUNCT
american_scientific_journal-3172	14	23	no	no	DET
american_scientific_journal-3172	14	24	1	1	NUM
american_scientific_journal-3172	14	25	,	,	PUNCT
american_scientific_journal-3172	14	26	pp	pp	ADV
american_scientific_journal-3172	14	27	114	114	NUM
american_scientific_journal-3172	14	28	-	-	SYM
american_scientific_journal-3172	14	29	122	122	NUM
american_scientific_journal-3172	14	30	115	115	NUM
american_scientific_journal-3172	14	31	2	2	NUM
american_scientific_journal-3172	14	32	.	.	PUNCT
american_scientific_journal-3172	14	33	structure	structure	NOUN
american_scientific_journal-3172	14	34	(	(	PUNCT
american_scientific_journal-3172	14	35	basic	basic	ADJ
american_scientific_journal-3172	14	36	idea	idea	NOUN
american_scientific_journal-3172	14	37	)	)	PUNCT
american_scientific_journal-3172	14	38	as	as	SCONJ
american_scientific_journal-3172	14	39	we	we	PRON
american_scientific_journal-3172	14	40	know	know	VERB
american_scientific_journal-3172	14	41	that	that	SCONJ
american_scientific_journal-3172	14	42	all	all	DET
american_scientific_journal-3172	14	43	the	the	DET
american_scientific_journal-3172	14	44	baryons	baryon	NOUN
american_scientific_journal-3172	14	45	[	[	PUNCT
american_scientific_journal-3172	14	46	a	a	DET
american_scientific_journal-3172	14	47	type	type	NOUN
american_scientific_journal-3172	14	48	of	of	ADP
american_scientific_journal-3172	14	49	the	the	DET
american_scientific_journal-3172	14	50	hadrons	hadron	NOUN
american_scientific_journal-3172	14	51	]	]	PUNCT
american_scientific_journal-3172	15	1	[	[	X
american_scientific_journal-3172	15	2	3	3	NUM
american_scientific_journal-3172	15	3	]	]	PUNCT
american_scientific_journal-3172	15	4	are	be	AUX
american_scientific_journal-3172	15	5	consist	consist	VERB
american_scientific_journal-3172	15	6	of	of	ADP
american_scientific_journal-3172	15	7	an	an	DET
american_scientific_journal-3172	15	8	odd	odd	ADJ
american_scientific_journal-3172	15	9	number	number	NOUN
american_scientific_journal-3172	15	10	of	of	ADP
american_scientific_journal-3172	15	11	fundamental	fundamental	ADJ
american_scientific_journal-3172	15	12	particles	particle	NOUN
american_scientific_journal-3172	15	13	called	call	VERB
american_scientific_journal-3172	15	14	quarks	quark	NOUN
american_scientific_journal-3172	15	15	,	,	PUNCT
american_scientific_journal-3172	15	16	like	like	ADP
american_scientific_journal-3172	15	17	a	a	DET
american_scientific_journal-3172	15	18	proton	proton	NOUN
american_scientific_journal-3172	15	19	consist	consist	NOUN
american_scientific_journal-3172	15	20	of	of	ADP
american_scientific_journal-3172	15	21	three	three	NUM
american_scientific_journal-3172	15	22	quarks	quark	NOUN
american_scientific_journal-3172	15	23	,	,	PUNCT
american_scientific_journal-3172	15	24	or	or	CCONJ
american_scientific_journal-3172	15	25	maybe	maybe	ADV
american_scientific_journal-3172	15	26	more	more	ADJ
american_scientific_journal-3172	15	27	than	than	ADP
american_scientific_journal-3172	15	28	three	three	NUM
american_scientific_journal-3172	15	29	[	[	NOUN
american_scientific_journal-3172	15	30	4	4	NUM
american_scientific_journal-3172	15	31	]	]	PUNCT
american_scientific_journal-3172	15	32	,	,	PUNCT
american_scientific_journal-3172	15	33	and	and	CCONJ
american_scientific_journal-3172	15	34	all	all	DET
american_scientific_journal-3172	15	35	the	the	DET
american_scientific_journal-3172	15	36	quarks	quark	NOUN
american_scientific_journal-3172	15	37	have	have	VERB
american_scientific_journal-3172	15	38	a	a	DET
american_scientific_journal-3172	15	39	quantization	quantization	NOUN
american_scientific_journal-3172	15	40	spin	spin	NOUN
american_scientific_journal-3172	15	41	state	state	NOUN
american_scientific_journal-3172	15	42	with	with	ADP
american_scientific_journal-3172	15	43	1/2ħ	1/2ħ	NUM
american_scientific_journal-3172	16	1	[	[	X
american_scientific_journal-3172	16	2	5	5	NUM
american_scientific_journal-3172	16	3	]	]	PUNCT
american_scientific_journal-3172	16	4	.	.	PUNCT
american_scientific_journal-3172	17	1	and	and	CCONJ
american_scientific_journal-3172	17	2	now	now	ADV
american_scientific_journal-3172	17	3	let	let	VERB
american_scientific_journal-3172	17	4	's	us	PRON
american_scientific_journal-3172	17	5	imagine	imagine	VERB
american_scientific_journal-3172	17	6	the	the	DET
american_scientific_journal-3172	17	7	spacetime	spacetime	NOUN
american_scientific_journal-3172	17	8	is	be	AUX
american_scientific_journal-3172	17	9	a	a	DET
american_scientific_journal-3172	17	10	vacuum	vacuum	NOUN
american_scientific_journal-3172	17	11	and	and	CCONJ
american_scientific_journal-3172	17	12	the	the	DET
american_scientific_journal-3172	17	13	higgs	higgs	NOUN
american_scientific_journal-3172	17	14	field	field	NOUN
american_scientific_journal-3172	17	15	is	be	AUX
american_scientific_journal-3172	17	16	everywhere[6	everywhere[6	ADP
american_scientific_journal-3172	17	17	]	]	PUNCT
american_scientific_journal-3172	17	18	,	,	PUNCT
american_scientific_journal-3172	17	19	higgs	higgs	PROPN
american_scientific_journal-3172	17	20	bosons	bosons	PROPN
american_scientific_journal-3172	17	21	are	be	AUX
american_scientific_journal-3172	17	22	attracting	attract	VERB
american_scientific_journal-3172	17	23	with	with	ADP
american_scientific_journal-3172	17	24	the	the	DET
american_scientific_journal-3172	17	25	quarks	quarks	NOUN
american_scientific_journal-3172	17	26	(	(	PUNCT
american_scientific_journal-3172	17	27	2	2	NUM
american_scientific_journal-3172	17	28	ups	up	NOUN
american_scientific_journal-3172	17	29	and	and	CCONJ
american_scientific_journal-3172	17	30	1	1	NUM
american_scientific_journal-3172	17	31	down	down	ADV
american_scientific_journal-3172	17	32	)	)	PUNCT
american_scientific_journal-3172	17	33	,	,	PUNCT
american_scientific_journal-3172	17	34	since	since	SCONJ
american_scientific_journal-3172	17	35	this	this	DET
american_scientific_journal-3172	17	36	attracting	attract	VERB
american_scientific_journal-3172	17	37	is	be	AUX
american_scientific_journal-3172	17	38	the	the	DET
american_scientific_journal-3172	17	39	mechanism	mechanism	NOUN
american_scientific_journal-3172	17	40	of	of	ADP
american_scientific_journal-3172	17	41	the	the	DET
american_scientific_journal-3172	17	42	mass	mass	NOUN
american_scientific_journal-3172	17	43	source	source	NOUN
american_scientific_journal-3172	17	44	,	,	PUNCT
american_scientific_journal-3172	17	45	and	and	CCONJ
american_scientific_journal-3172	17	46	the	the	DET
american_scientific_journal-3172	17	47	particle	particle	NOUN
american_scientific_journal-3172	17	48	reaches	reach	VERB
american_scientific_journal-3172	17	49	its	its	PRON
american_scientific_journal-3172	17	50	maximum	maximum	ADJ
american_scientific_journal-3172	17	51	mass	mass	NOUN
american_scientific_journal-3172	17	52	by	by	ADP
american_scientific_journal-3172	17	53	reaching	reach	VERB
american_scientific_journal-3172	17	54	the	the	DET
american_scientific_journal-3172	17	55	equilibrium	equilibrium	NOUN
american_scientific_journal-3172	17	56	state	state	NOUN
american_scientific_journal-3172	17	57	of	of	ADP
american_scientific_journal-3172	17	58	the	the	DET
american_scientific_journal-3172	17	59	attracting	attracting	NOUN
american_scientific_journal-3172	17	60	,	,	PUNCT
american_scientific_journal-3172	17	61	the	the	DET
american_scientific_journal-3172	17	62	quarks	quark	NOUN
american_scientific_journal-3172	17	63	have	have	VERB
american_scientific_journal-3172	17	64	an	an	DET
american_scientific_journal-3172	17	65	intrinsic	intrinsic	ADJ
american_scientific_journal-3172	17	66	property	property	NOUN
american_scientific_journal-3172	17	67	(	(	PUNCT
american_scientific_journal-3172	17	68	the	the	DET
american_scientific_journal-3172	17	69	spin	spin	NOUN
american_scientific_journal-3172	17	70	)	)	PUNCT
american_scientific_journal-3172	17	71	that	that	PRON
american_scientific_journal-3172	17	72	's	be	AUX
american_scientific_journal-3172	17	73	quantitative	quantitative	ADJ
american_scientific_journal-3172	17	74	property	property	NOUN
american_scientific_journal-3172	17	75	consuming	consume	VERB
american_scientific_journal-3172	17	76	energy	energy	NOUN
american_scientific_journal-3172	17	77	to	to	PART
american_scientific_journal-3172	17	78	establish	establish	VERB
american_scientific_journal-3172	17	79	a	a	DET
american_scientific_journal-3172	17	80	differentiation	differentiation	NOUN
american_scientific_journal-3172	17	81	in	in	ADP
american_scientific_journal-3172	17	82	the	the	DET
american_scientific_journal-3172	17	83	spacetime	spacetime	NOUN
american_scientific_journal-3172	17	84	vacuum	vacuum	NOUN
american_scientific_journal-3172	17	85	,	,	PUNCT
american_scientific_journal-3172	17	86	and	and	CCONJ
american_scientific_journal-3172	17	87	since	since	SCONJ
american_scientific_journal-3172	17	88	we	we	PRON
american_scientific_journal-3172	17	89	know	know	VERB
american_scientific_journal-3172	17	90	that	that	SCONJ
american_scientific_journal-3172	17	91	quarks	quark	NOUN
american_scientific_journal-3172	17	92	have	have	VERB
american_scientific_journal-3172	17	93	an	an	DET
american_scientific_journal-3172	17	94	"	"	PUNCT
american_scientific_journal-3172	17	95	excited	excited	ADJ
american_scientific_journal-3172	17	96	versions	version	NOUN
american_scientific_journal-3172	17	97	"	"	PUNCT
american_scientific_journal-3172	17	98	,	,	PUNCT
american_scientific_journal-3172	17	99	or	or	CCONJ
american_scientific_journal-3172	17	100	kinetic	kinetic	ADJ
american_scientific_journal-3172	17	101	energy	energy	NOUN
american_scientific_journal-3172	17	102	by	by	ADP
american_scientific_journal-3172	17	103	its	its	PRON
american_scientific_journal-3172	17	104	movement	movement	NOUN
american_scientific_journal-3172	17	105	and	and	CCONJ
american_scientific_journal-3172	17	106	the	the	DET
american_scientific_journal-3172	17	107	probability	probability	NOUN
american_scientific_journal-3172	17	108	density	density	NOUN
american_scientific_journal-3172	17	109	,	,	PUNCT
american_scientific_journal-3172	17	110	it	it	PRON
american_scientific_journal-3172	17	111	's	be	AUX
american_scientific_journal-3172	17	112	very	very	ADV
american_scientific_journal-3172	17	113	hard	hard	ADJ
american_scientific_journal-3172	17	114	to	to	PART
american_scientific_journal-3172	17	115	calculate	calculate	VERB
american_scientific_journal-3172	17	116	[	[	X
american_scientific_journal-3172	17	117	7	7	NUM
american_scientific_journal-3172	17	118	]	]	PUNCT
american_scientific_journal-3172	17	119	.	.	PUNCT
american_scientific_journal-3172	18	1	furthermore	furthermore	ADV
american_scientific_journal-3172	18	2	,	,	PUNCT
american_scientific_journal-3172	18	3	we	we	PRON
american_scientific_journal-3172	18	4	do	do	AUX
american_scientific_journal-3172	18	5	n't	not	PART
american_scientific_journal-3172	18	6	know	know	VERB
american_scientific_journal-3172	18	7	how	how	SCONJ
american_scientific_journal-3172	18	8	effective	effective	ADJ
american_scientific_journal-3172	18	9	this	this	PRON
american_scientific_journal-3172	18	10	on	on	ADP
american_scientific_journal-3172	18	11	the	the	DET
american_scientific_journal-3172	18	12	higgs	higgs	NOUN
american_scientific_journal-3172	18	13	field	field	NOUN
american_scientific_journal-3172	18	14	with	with	ADP
american_scientific_journal-3172	18	15	the	the	DET
american_scientific_journal-3172	18	16	intrinsic	intrinsic	ADJ
american_scientific_journal-3172	18	17	property	property	NOUN
american_scientific_journal-3172	18	18	(	(	PUNCT
american_scientific_journal-3172	18	19	the	the	DET
american_scientific_journal-3172	18	20	spin	spin	NOUN
american_scientific_journal-3172	18	21	)	)	PUNCT
american_scientific_journal-3172	18	22	and	and	CCONJ
american_scientific_journal-3172	18	23	according	accord	VERB
american_scientific_journal-3172	18	24	to	to	ADP
american_scientific_journal-3172	18	25	the	the	DET
american_scientific_journal-3172	18	26	higgs	higgs	PROPN
american_scientific_journal-3172	18	27	field	field	NOUN
american_scientific_journal-3172	18	28	energy	energy	NOUN
american_scientific_journal-3172	18	29	,	,	PUNCT
american_scientific_journal-3172	18	30	it	it	PRON
american_scientific_journal-3172	18	31	's	be	AUX
american_scientific_journal-3172	18	32	energy	energy	NOUN
american_scientific_journal-3172	18	33	is	be	AUX
american_scientific_journal-3172	18	34	unknown	unknown	ADJ
american_scientific_journal-3172	18	35	.	.	PUNCT
american_scientific_journal-3172	19	1	this	this	PRON
american_scientific_journal-3172	19	2	maybe	maybe	ADV
american_scientific_journal-3172	19	3	causes	cause	VERB
american_scientific_journal-3172	19	4	a	a	DET
american_scientific_journal-3172	19	5	difference	difference	NOUN
american_scientific_journal-3172	19	6	in	in	ADP
american_scientific_journal-3172	19	7	the	the	DET
american_scientific_journal-3172	19	8	equilibrium	equilibrium	NOUN
american_scientific_journal-3172	19	9	state	state	NOUN
american_scientific_journal-3172	19	10	of	of	ADP
american_scientific_journal-3172	19	11	the	the	DET
american_scientific_journal-3172	19	12	attracting	attracting	NOUN
american_scientific_journal-3172	19	13	with	with	ADP
american_scientific_journal-3172	19	14	higgs	higgs	NOUN
american_scientific_journal-3172	19	15	field	field	NOUN
american_scientific_journal-3172	19	16	.	.	PUNCT
american_scientific_journal-3172	20	1	and	and	CCONJ
american_scientific_journal-3172	20	2	as	as	SCONJ
american_scientific_journal-3172	20	3	we	we	PRON
american_scientific_journal-3172	20	4	say	say	VERB
american_scientific_journal-3172	20	5	,	,	PUNCT
american_scientific_journal-3172	20	6	this	this	DET
american_scientific_journal-3172	20	7	difference	difference	NOUN
american_scientific_journal-3172	20	8	ca	can	AUX
american_scientific_journal-3172	20	9	n't	not	PART
american_scientific_journal-3172	20	10	be	be	AUX
american_scientific_journal-3172	20	11	calculated	calculate	VERB
american_scientific_journal-3172	20	12	.	.	PUNCT
american_scientific_journal-3172	21	1	while	while	SCONJ
american_scientific_journal-3172	21	2	imagining	imagine	VERB
american_scientific_journal-3172	21	3	this	this	DET
american_scientific_journal-3172	21	4	case	case	NOUN
american_scientific_journal-3172	21	5	,	,	PUNCT
american_scientific_journal-3172	21	6	we	we	PRON
american_scientific_journal-3172	21	7	find	find	VERB
american_scientific_journal-3172	21	8	that	that	SCONJ
american_scientific_journal-3172	21	9	the	the	DET
american_scientific_journal-3172	21	10	quarks	quarks	NOUN
american_scientific_journal-3172	21	11	spin	spin	VERB
american_scientific_journal-3172	21	12	with	with	SCONJ
american_scientific_journal-3172	21	13	its	its	PRON
american_scientific_journal-3172	21	14	kinetic	kinetic	ADJ
american_scientific_journal-3172	21	15	energy	energy	NOUN
american_scientific_journal-3172	21	16	causes	cause	VERB
american_scientific_journal-3172	21	17	a	a	DET
american_scientific_journal-3172	21	18	difference	difference	NOUN
american_scientific_journal-3172	21	19	in	in	ADP
american_scientific_journal-3172	21	20	the	the	DET
american_scientific_journal-3172	21	21	higgs	higgs	NOUN
american_scientific_journal-3172	21	22	field	field	NOUN
american_scientific_journal-3172	21	23	,	,	PUNCT
american_scientific_journal-3172	21	24	the	the	DET
american_scientific_journal-3172	21	25	higgs	higgs	NOUN
american_scientific_journal-3172	21	26	boson	boson	PROPN
american_scientific_journal-3172	21	27	those	those	PRON
american_scientific_journal-3172	21	28	around	around	ADP
american_scientific_journal-3172	21	29	the	the	DET
american_scientific_journal-3172	21	30	sphere	sphere	NOUN
american_scientific_journal-3172	21	31	surface	surface	PROPN
american_scientific_journal-3172	21	32	area	area	NOUN
american_scientific_journal-3172	21	33	of	of	ADP
american_scientific_journal-3172	21	34	the	the	DET
american_scientific_journal-3172	21	35	quark	quark	NOUN
american_scientific_journal-3172	21	36	,	,	PUNCT
american_scientific_journal-3172	21	37	by	by	ADP
american_scientific_journal-3172	21	38	giving	give	VERB
american_scientific_journal-3172	21	39	them	they	PRON
american_scientific_journal-3172	21	40	an	an	DET
american_scientific_journal-3172	21	41	amount	amount	NOUN
american_scientific_journal-3172	21	42	of	of	ADP
american_scientific_journal-3172	21	43	energy	energy	NOUN
american_scientific_journal-3172	21	44	in	in	ADP
american_scientific_journal-3172	21	45	all	all	DET
american_scientific_journal-3172	21	46	the	the	DET
american_scientific_journal-3172	21	47	directions	direction	NOUN
american_scientific_journal-3172	21	48	(	(	PUNCT
american_scientific_journal-3172	21	49	we	we	PRON
american_scientific_journal-3172	21	50	will	will	AUX
american_scientific_journal-3172	21	51	consider	consider	VERB
american_scientific_journal-3172	21	52	the	the	DET
american_scientific_journal-3172	21	53	kinetic	kinetic	ADJ
american_scientific_journal-3172	21	54	energy	energy	NOUN
american_scientific_journal-3172	21	55	and	and	CCONJ
american_scientific_journal-3172	21	56	the	the	DET
american_scientific_journal-3172	21	57	spin	spin	NOUN
american_scientific_journal-3172	21	58	energy	energy	NOUN
american_scientific_journal-3172	21	59	as	as	ADP
american_scientific_journal-3172	21	60	a	a	DET
american_scientific_journal-3172	21	61	vectors	vector	NOUN
american_scientific_journal-3172	21	62	,	,	PUNCT
american_scientific_journal-3172	21	63	and	and	CCONJ
american_scientific_journal-3172	21	64	since	since	SCONJ
american_scientific_journal-3172	21	65	the	the	DET
american_scientific_journal-3172	21	66	spin	spin	NOUN
american_scientific_journal-3172	21	67	causes	cause	VERB
american_scientific_journal-3172	21	68	a	a	DET
american_scientific_journal-3172	21	69	case	case	NOUN
american_scientific_journal-3172	21	70	in	in	ADP
american_scientific_journal-3172	21	71	all	all	DET
american_scientific_journal-3172	21	72	the	the	DET
american_scientific_journal-3172	21	73	direction	direction	NOUN
american_scientific_journal-3172	21	74	it	it	PRON
american_scientific_journal-3172	21	75	's	be	AUX
american_scientific_journal-3172	21	76	resultants	resultant	NOUN
american_scientific_journal-3172	21	77	with	with	ADP
american_scientific_journal-3172	21	78	ke	ke	NOUN
american_scientific_journal-3172	21	79	vectors	vector	NOUN
american_scientific_journal-3172	21	80	will	will	AUX
american_scientific_journal-3172	21	81	be	be	AUX
american_scientific_journal-3172	21	82	in	in	ADP
american_scientific_journal-3172	21	83	all	all	DET
american_scientific_journal-3172	21	84	the	the	DET
american_scientific_journal-3172	21	85	directions	direction	NOUN
american_scientific_journal-3172	21	86	)	)	PUNCT
american_scientific_journal-3172	21	87	.	.	PUNCT
american_scientific_journal-3172	22	1	�	�	PROPN
american_scientific_journal-3172	22	2	∑	∑	PROPN
american_scientific_journal-3172	22	3	𝑆𝑆𝐸𝐸2	𝑆𝑆𝐸𝐸2	PROPN
american_scientific_journal-3172	22	4	+	+	PROPN
american_scientific_journal-3172	22	5	𝐾𝐾𝐾𝐾𝑞𝑞2−	𝐾𝐾𝐾𝐾𝑞𝑞2−	PROPN
american_scientific_journal-3172	22	6	2|𝑆𝑆𝐸𝐸2𝜋𝜋	2|𝑆𝑆𝐸𝐸2𝜋𝜋	NUM
american_scientific_journal-3172	22	7	0	0	NUM
american_scientific_journal-3172	22	8	�	�	PROPN
american_scientific_journal-3172	22	9	�	�	PROPN
american_scientific_journal-3172	22	10	𝐾𝐾𝐾𝐾𝑞𝑞	𝐾𝐾𝐾𝐾𝑞𝑞	NOUN
american_scientific_journal-3172	22	11	�	�	NOUN
american_scientific_journal-3172	22	12	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	NOUN
american_scientific_journal-3172	22	13	�	�	PROPN
american_scientific_journal-3172	22	14	eq[1	eq[1	PROPN
american_scientific_journal-3172	22	15	]	]	PUNCT
american_scientific_journal-3172	22	16	in	in	ADP
american_scientific_journal-3172	22	17	order	order	NOUN
american_scientific_journal-3172	22	18	to	to	PART
american_scientific_journal-3172	22	19	understand	understand	VERB
american_scientific_journal-3172	22	20	this	this	DET
american_scientific_journal-3172	22	21	equation	equation	NOUN
american_scientific_journal-3172	22	22	and	and	CCONJ
american_scientific_journal-3172	22	23	the	the	DET
american_scientific_journal-3172	22	24	whole	whole	ADJ
american_scientific_journal-3172	22	25	amount	amount	NOUN
american_scientific_journal-3172	22	26	of	of	ADP
american_scientific_journal-3172	22	27	energy	energy	NOUN
american_scientific_journal-3172	22	28	by	by	ADP
american_scientific_journal-3172	22	29	eq(1	eq(1	NOUN
american_scientific_journal-3172	22	30	)	)	PUNCT
american_scientific_journal-3172	22	31	,	,	PUNCT
american_scientific_journal-3172	22	32	the	the	DET
american_scientific_journal-3172	22	33	spin	spin	NOUN
american_scientific_journal-3172	22	34	ke	ke	NOUN
american_scientific_journal-3172	22	35	is	be	AUX
american_scientific_journal-3172	22	36	exactly	exactly	ADV
american_scientific_journal-3172	22	37	in	in	ADP
american_scientific_journal-3172	22	38	all	all	DET
american_scientific_journal-3172	22	39	the	the	DET
american_scientific_journal-3172	22	40	directions	direction	NOUN
american_scientific_journal-3172	22	41	.	.	PUNCT
american_scientific_journal-3172	23	1	we	we	PRON
american_scientific_journal-3172	23	2	found	find	VERB
american_scientific_journal-3172	23	3	that	that	SCONJ
american_scientific_journal-3172	23	4	the	the	DET
american_scientific_journal-3172	23	5	energy	energy	NOUN
american_scientific_journal-3172	23	6	resultant	resultant	NOUN
american_scientific_journal-3172	23	7	will	will	AUX
american_scientific_journal-3172	23	8	be	be	AUX
american_scientific_journal-3172	23	9	in	in	ADP
american_scientific_journal-3172	23	10	all	all	DET
american_scientific_journal-3172	23	11	the	the	DET
american_scientific_journal-3172	23	12	directions	direction	NOUN
american_scientific_journal-3172	23	13	with	with	ADP
american_scientific_journal-3172	23	14	a	a	DET
american_scientific_journal-3172	23	15	difference	difference	NOUN
american_scientific_journal-3172	23	16	in	in	ADP
american_scientific_journal-3172	23	17	the	the	DET
american_scientific_journal-3172	23	18	magnitude	magnitude	NOUN
american_scientific_journal-3172	23	19	;	;	PUNCT
american_scientific_journal-3172	23	20	because	because	SCONJ
american_scientific_journal-3172	23	21	the	the	DET
american_scientific_journal-3172	23	22	angle	angle	NOUN
american_scientific_journal-3172	23	23	of	of	ADP
american_scientific_journal-3172	23	24	the	the	DET
american_scientific_journal-3172	23	25	direction	direction	NOUN
american_scientific_journal-3172	23	26	.	.	PUNCT
american_scientific_journal-3172	24	1	furthermore	furthermore	ADV
american_scientific_journal-3172	24	2	,	,	PUNCT
american_scientific_journal-3172	24	3	we	we	PRON
american_scientific_journal-3172	24	4	know	know	VERB
american_scientific_journal-3172	24	5	that	that	SCONJ
american_scientific_journal-3172	24	6	in	in	ADP
american_scientific_journal-3172	24	7	each	each	DET
american_scientific_journal-3172	24	8	circumstance	circumstance	NOUN
american_scientific_journal-3172	24	9	of	of	ADP
american_scientific_journal-3172	24	10	a	a	DET
american_scientific_journal-3172	24	11	circle	circle	NOUN
american_scientific_journal-3172	24	12	that	that	SCONJ
american_scientific_journal-3172	24	13	it	it	PRON
american_scientific_journal-3172	24	14	's	be	AUX
american_scientific_journal-3172	24	15	center	center	NOUN
american_scientific_journal-3172	24	16	has	have	VERB
american_scientific_journal-3172	24	17	a	a	DET
american_scientific_journal-3172	24	18	vertical	vertical	ADJ
american_scientific_journal-3172	24	19	distance	distance	NOUN
american_scientific_journal-3172	24	20	from	from	ADP
american_scientific_journal-3172	24	21	the	the	DET
american_scientific_journal-3172	24	22	sphere	sphere	NOUN
american_scientific_journal-3172	24	23	center	center	NOUN
american_scientific_journal-3172	24	24	,	,	PUNCT
american_scientific_journal-3172	24	25	there	there	PRON
american_scientific_journal-3172	24	26	are	be	VERB
american_scientific_journal-3172	24	27	two	two	NUM
american_scientific_journal-3172	24	28	energy	energy	NOUN
american_scientific_journal-3172	24	29	resultant	resultant	NOUN
american_scientific_journal-3172	24	30	vectors	vector	NOUN
american_scientific_journal-3172	24	31	with	with	ADP
american_scientific_journal-3172	24	32	the	the	DET
american_scientific_journal-3172	24	33	same	same	ADJ
american_scientific_journal-3172	24	34	magnitude	magnitude	NOUN
american_scientific_journal-3172	24	35	.	.	PUNCT
american_scientific_journal-3172	25	1	now	now	ADV
american_scientific_journal-3172	25	2	,	,	PUNCT
american_scientific_journal-3172	25	3	we	we	PRON
american_scientific_journal-3172	25	4	need	need	VERB
american_scientific_journal-3172	25	5	to	to	PART
american_scientific_journal-3172	25	6	know	know	VERB
american_scientific_journal-3172	25	7	how	how	SCONJ
american_scientific_journal-3172	25	8	many	many	ADJ
american_scientific_journal-3172	25	9	circumstances	circumstance	NOUN
american_scientific_journal-3172	25	10	are	be	AUX
american_scientific_journal-3172	25	11	in	in	ADP
american_scientific_journal-3172	25	12	the	the	DET
american_scientific_journal-3172	25	13	quark	quark	PROPN
american_scientific_journal-3172	25	14	sphere	sphere	NOUN
american_scientific_journal-3172	25	15	.	.	PUNCT
american_scientific_journal-3172	26	1	first	first	ADV
american_scientific_journal-3172	26	2	we	we	PRON
american_scientific_journal-3172	26	3	will	will	AUX
american_scientific_journal-3172	26	4	calculate	calculate	VERB
american_scientific_journal-3172	26	5	a	a	DET
american_scientific_journal-3172	26	6	ratio	ratio	NOUN
american_scientific_journal-3172	26	7	between	between	ADP
american_scientific_journal-3172	26	8	the	the	DET
american_scientific_journal-3172	26	9	surface	surface	NOUN
american_scientific_journal-3172	26	10	areas	area	NOUN
american_scientific_journal-3172	26	11	of	of	ADP
american_scientific_journal-3172	26	12	two	two	NUM
american_scientific_journal-3172	26	13	spheres	sphere	NOUN
american_scientific_journal-3172	26	14	,	,	PUNCT
american_scientific_journal-3172	26	15	the	the	DET
american_scientific_journal-3172	26	16	sphere	sphere	NOUN
american_scientific_journal-3172	27	1	[	[	X
american_scientific_journal-3172	27	2	s	s	X
american_scientific_journal-3172	27	3	]	]	X
american_scientific_journal-3172	27	4	with	with	ADP
american_scientific_journal-3172	27	5	a	a	DET
american_scientific_journal-3172	27	6	radius	radius	NOUN
american_scientific_journal-3172	27	7	(	(	PUNCT
american_scientific_journal-3172	27	8	r	r	NOUN
american_scientific_journal-3172	27	9	)	)	PUNCT
american_scientific_journal-3172	27	10	and	and	CCONJ
american_scientific_journal-3172	27	11	the	the	DET
american_scientific_journal-3172	27	12	sphere	sphere	NOUN
american_scientific_journal-3172	28	1	[	[	X
american_scientific_journal-3172	28	2	d	d	X
american_scientific_journal-3172	28	3	]	]	X
american_scientific_journal-3172	28	4	with	with	ADP
american_scientific_journal-3172	28	5	a	a	DET
american_scientific_journal-3172	28	6	radius	radius	NOUN
american_scientific_journal-3172	28	7	of	of	ADP
american_scientific_journal-3172	28	8	(	(	PUNCT
american_scientific_journal-3172	28	9	r+n	r+n	PROPN
american_scientific_journal-3172	28	10	)	)	PUNCT
american_scientific_journal-3172	28	11	,	,	PUNCT
american_scientific_journal-3172	28	12	which	which	PRON
american_scientific_journal-3172	28	13	are	be	AUX
american_scientific_journal-3172	28	14	r	r	NOUN
american_scientific_journal-3172	28	15	,	,	PUNCT
american_scientific_journal-3172	28	16	n∈	n∈	NOUN
american_scientific_journal-3172	28	17	z+	z+	NUM
american_scientific_journal-3172	28	18	.	.	PUNCT
american_scientific_journal-3172	29	1	4𝜋𝜋(𝑅𝑅+𝑛𝑛)2	4𝜋𝜋(𝑅𝑅+𝑛𝑛)2	NUM
american_scientific_journal-3172	29	2	4𝜋𝜋𝑅𝑅2	4𝜋𝜋𝑅𝑅2	NUM
american_scientific_journal-3172	29	3	=	=	SYM
american_scientific_journal-3172	29	4	4𝜋𝜋𝑅𝑅2	4𝜋𝜋𝑅𝑅2	NUM
american_scientific_journal-3172	29	5	+	+	PROPN
american_scientific_journal-3172	29	6	8𝜋𝜋𝑅𝑅𝑛𝑛+4𝜋𝜋𝑛𝑛2	8𝜋𝜋𝑅𝑅𝑛𝑛+4𝜋𝜋𝑛𝑛2	NUM
american_scientific_journal-3172	29	7	4𝜋𝜋𝑅𝑅2	4𝜋𝜋𝑅𝑅2	NUM
american_scientific_journal-3172	29	8	=	=	SYM
american_scientific_journal-3172	29	9	1	1	NUM
american_scientific_journal-3172	29	10	+	+	NUM
american_scientific_journal-3172	29	11	2𝑛𝑛	2𝑛𝑛	ADJ
american_scientific_journal-3172	29	12	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-3172	29	13	+	+	CCONJ
american_scientific_journal-3172	29	14	𝑛𝑛2	𝑛𝑛2	PROPN
american_scientific_journal-3172	29	15	𝑅𝑅2	𝑅𝑅2	PROPN
american_scientific_journal-3172	29	16	eq[2	eq[2	PROPN
american_scientific_journal-3172	29	17	]	]	X
american_scientific_journal-3172	30	1	so	so	ADV
american_scientific_journal-3172	30	2	,	,	PUNCT
american_scientific_journal-3172	30	3	we	we	PRON
american_scientific_journal-3172	30	4	can	can	AUX
american_scientific_journal-3172	30	5	calculate	calculate	VERB
american_scientific_journal-3172	30	6	the	the	DET
american_scientific_journal-3172	30	7	surface	surface	NOUN
american_scientific_journal-3172	30	8	area	area	NOUN
american_scientific_journal-3172	30	9	of	of	ADP
american_scientific_journal-3172	30	10	any	any	DET
american_scientific_journal-3172	30	11	sphere	sphere	NOUN
american_scientific_journal-3172	30	12	according	accord	VERB
american_scientific_journal-3172	30	13	to	to	ADP
american_scientific_journal-3172	30	14	another	another	DET
american_scientific_journal-3172	30	15	sphere	sphere	NOUN
american_scientific_journal-3172	30	16	.	.	PUNCT
american_scientific_journal-3172	31	1	lets	lets	AUX
american_scientific_journal-3172	31	2	suppose	suppose	VERB
american_scientific_journal-3172	31	3	that	that	SCONJ
american_scientific_journal-3172	31	4	a	a	DET
american_scientific_journal-3172	31	5	sphere	sphere	NOUN
american_scientific_journal-3172	31	6	with	with	ADP
american_scientific_journal-3172	31	7	a	a	DET
american_scientific_journal-3172	31	8	radius	radius	NOUN
american_scientific_journal-3172	31	9	of	of	ADP
american_scientific_journal-3172	31	10	a	a	DET
american_scientific_journal-3172	31	11	planck	planck	NOUN
american_scientific_journal-3172	31	12	length	length	NOUN
american_scientific_journal-3172	31	13	ℓp	ℓp	NOUN
american_scientific_journal-3172	31	14	and	and	CCONJ
american_scientific_journal-3172	31	15	it	it	PRON
american_scientific_journal-3172	31	16	’s	’	VERB
american_scientific_journal-3172	31	17	the	the	DET
american_scientific_journal-3172	31	18	origin	origin	NOUN
american_scientific_journal-3172	31	19	sphere	sphere	ADV
american_scientific_journal-3172	31	20	.	.	PUNCT
american_scientific_journal-3172	32	1	american	american	ADJ
american_scientific_journal-3172	32	2	scientific	scientific	ADJ
american_scientific_journal-3172	32	3	research	research	PROPN
american_scientific_journal-3172	32	4	journal	journal	NOUN
american_scientific_journal-3172	32	5	for	for	ADP
american_scientific_journal-3172	32	6	engineering	engineering	NOUN
american_scientific_journal-3172	32	7	,	,	PUNCT
american_scientific_journal-3172	32	8	technology	technology	NOUN
american_scientific_journal-3172	32	9	,	,	PUNCT
american_scientific_journal-3172	32	10	and	and	CCONJ
american_scientific_journal-3172	32	11	sciences	science	NOUN
american_scientific_journal-3172	32	12	(	(	PUNCT
american_scientific_journal-3172	32	13	asrjets	asrjet	NOUN
american_scientific_journal-3172	32	14	)	)	PUNCT
american_scientific_journal-3172	32	15	(	(	PUNCT
american_scientific_journal-3172	32	16	2017	2017	NUM
american_scientific_journal-3172	32	17	)	)	PUNCT
american_scientific_journal-3172	32	18	volume	volume	NOUN
american_scientific_journal-3172	32	19	34	34	NUM
american_scientific_journal-3172	32	20	,	,	PUNCT
american_scientific_journal-3172	32	21	no	no	DET
american_scientific_journal-3172	32	22	1	1	NUM
american_scientific_journal-3172	32	23	,	,	PUNCT
american_scientific_journal-3172	32	24	pp	pp	ADV
american_scientific_journal-3172	32	25	114	114	NUM
american_scientific_journal-3172	32	26	-	-	SYM
american_scientific_journal-3172	32	27	122	122	NUM
american_scientific_journal-3172	32	28	116	116	NUM
american_scientific_journal-3172	32	29	𝐴𝐴𝑛𝑛	𝐴𝐴𝑛𝑛	NOUN
american_scientific_journal-3172	32	30	=	=	SYM
american_scientific_journal-3172	33	1	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	33	2	�	�	PROPN
american_scientific_journal-3172	33	3	1	1	NUM
american_scientific_journal-3172	33	4	+	+	CCONJ
american_scientific_journal-3172	33	5	2𝑛𝑛	2𝑛𝑛	ADJ
american_scientific_journal-3172	33	6	ℓp	ℓp	ADJ
american_scientific_journal-3172	33	7	+	+	NUM
american_scientific_journal-3172	33	8	𝑛𝑛2	𝑛𝑛2	NOUN
american_scientific_journal-3172	33	9	(	(	PUNCT
american_scientific_journal-3172	33	10	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	33	11	�	�	PROPN
american_scientific_journal-3172	33	12	eq[3	eq[3	PROPN
american_scientific_journal-3172	33	13	]	]	PUNCT
american_scientific_journal-3172	33	14	now	now	ADV
american_scientific_journal-3172	33	15	we	we	PRON
american_scientific_journal-3172	33	16	can	can	AUX
american_scientific_journal-3172	33	17	find	find	VERB
american_scientific_journal-3172	33	18	the	the	DET
american_scientific_journal-3172	33	19	radius	radius	NOUN
american_scientific_journal-3172	33	20	(	(	PUNCT
american_scientific_journal-3172	33	21	n	n	CCONJ
american_scientific_journal-3172	33	22	)	)	PUNCT
american_scientific_journal-3172	33	23	to	to	PART
american_scientific_journal-3172	33	24	find	find	VERB
american_scientific_journal-3172	33	25	the	the	DET
american_scientific_journal-3172	33	26	number	number	NOUN
american_scientific_journal-3172	33	27	of	of	ADP
american_scientific_journal-3172	33	28	the	the	DET
american_scientific_journal-3172	33	29	circumferences	circumference	NOUN
american_scientific_journal-3172	33	30	in	in	ADP
american_scientific_journal-3172	33	31	the	the	DET
american_scientific_journal-3172	33	32	sphere	sphere	NOUN
american_scientific_journal-3172	33	33	(	(	PUNCT
american_scientific_journal-3172	33	34	n	n	CCONJ
american_scientific_journal-3172	33	35	)	)	PUNCT
american_scientific_journal-3172	33	36	by	by	ADP
american_scientific_journal-3172	33	37	the	the	DET
american_scientific_journal-3172	33	38	same	same	ADJ
american_scientific_journal-3172	33	39	radius	radius	NOUN
american_scientific_journal-3172	33	40	(	(	PUNCT
american_scientific_journal-3172	33	41	n	n	CCONJ
american_scientific_journal-3172	33	42	)	)	PUNCT
american_scientific_journal-3172	33	43	of	of	ADP
american_scientific_journal-3172	33	44	𝑡𝑡ℎ𝑒𝑒	𝑡𝑡ℎ𝑒𝑒	NOUN
american_scientific_journal-3172	33	45	𝑐𝑐𝑠𝑠ℎ𝑒𝑒𝑒𝑒𝑒𝑒	𝑐𝑐𝑠𝑠ℎ𝑒𝑒𝑒𝑒𝑒𝑒	PROPN
american_scientific_journal-3172	33	46	(	(	PUNCT
american_scientific_journal-3172	33	47	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-3172	33	48	)	)	PUNCT
american_scientific_journal-3172	33	49	∶	∶	NOUN
american_scientific_journal-3172	33	50	𝑅𝑅𝑛𝑛	𝑅𝑅𝑛𝑛	NOUN
american_scientific_journal-3172	33	51	=	=	SYM
american_scientific_journal-3172	33	52	�	�	PROPN
american_scientific_journal-3172	33	53	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	33	54	�	�	NOUN
american_scientific_journal-3172	33	55	1	1	NUM
american_scientific_journal-3172	33	56	+	+	NUM
american_scientific_journal-3172	33	57	2𝑛𝑛	2𝑛𝑛	PROPN
american_scientific_journal-3172	33	58	ℓp+	ℓp+	PROPN
american_scientific_journal-3172	33	59	𝑛𝑛2	𝑛𝑛2	PROPN
american_scientific_journal-3172	34	1	(	(	PUNCT
american_scientific_journal-3172	34	2	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	34	3	�	�	PROPN
american_scientific_journal-3172	34	4	4𝜋𝜋	4𝜋𝜋	PROPN
american_scientific_journal-3172	34	5	eq[4	eq[4	NOUN
american_scientific_journal-3172	34	6	]	]	X
american_scientific_journal-3172	34	7	𝐶𝐶𝑛𝑛	𝐶𝐶𝑛𝑛	PROPN
american_scientific_journal-3172	34	8	=	=	SYM
american_scientific_journal-3172	34	9	π	π	PROPN
american_scientific_journal-3172	34	10	�	�	PROPN
american_scientific_journal-3172	34	11	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	34	12	�	�	NOUN
american_scientific_journal-3172	34	13	1	1	NUM
american_scientific_journal-3172	34	14	+	+	NUM
american_scientific_journal-3172	34	15	2𝑛𝑛	2𝑛𝑛	PROPN
american_scientific_journal-3172	34	16	ℓp+	ℓp+	PROPN
american_scientific_journal-3172	34	17	𝑛𝑛2	𝑛𝑛2	PROPN
american_scientific_journal-3172	34	18	(	(	PUNCT
american_scientific_journal-3172	34	19	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	34	20	�	�	PROPN
american_scientific_journal-3172	34	21	𝜋𝜋	𝜋𝜋	ADP
american_scientific_journal-3172	34	22	eq[5	eq[5	X
american_scientific_journal-3172	34	23	]	]	PUNCT
american_scientific_journal-3172	34	24	∑	∑	PUNCT
american_scientific_journal-3172	34	25	𝐶𝐶𝑛𝑛	𝐶𝐶𝑛𝑛	PROPN
american_scientific_journal-3172	34	26	𝑛𝑛∞,𝑘𝑘∞	𝑛𝑛∞,𝑘𝑘∞	PROPN
american_scientific_journal-3172	34	27	𝑛𝑛=1,𝑘𝑘=0	𝑛𝑛=1,𝑘𝑘=0	NOUN
american_scientific_journal-3172	34	28	=	=	SYM
american_scientific_journal-3172	34	29	∑	∑	PUNCT
american_scientific_journal-3172	34	30	π	π	PROPN
american_scientific_journal-3172	34	31	�	�	PROPN
american_scientific_journal-3172	34	32	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	34	33	�	�	PROPN
american_scientific_journal-3172	34	34	1	1	NUM
american_scientific_journal-3172	34	35	+	+	NUM
american_scientific_journal-3172	34	36	2(𝑛𝑛+𝑘𝑘𝑛𝑛	2(𝑛𝑛+𝑘𝑘𝑛𝑛	NUM
american_scientific_journal-3172	34	37	)	)	PUNCT
american_scientific_journal-3172	34	38	ℓp	ℓp	ADJ
american_scientific_journal-3172	34	39	+	+	PROPN
american_scientific_journal-3172	34	40	(	(	PUNCT
american_scientific_journal-3172	34	41	𝑛𝑛+𝑘𝑘𝑛𝑛)2	𝑛𝑛+𝑘𝑘𝑛𝑛)2	PROPN
american_scientific_journal-3172	34	42	(	(	PUNCT
american_scientific_journal-3172	34	43	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	34	44	�	�	PROPN
american_scientific_journal-3172	34	45	𝜋𝜋	𝜋𝜋	PROPN
american_scientific_journal-3172	34	46	𝑛𝑛∞,𝑘𝑘∞	𝑛𝑛∞,𝑘𝑘∞	PROPN
american_scientific_journal-3172	34	47	𝑛𝑛=1,𝑘𝑘=0	𝑛𝑛=1,𝑘𝑘=0	NOUN
american_scientific_journal-3172	34	48	eq[6	eq[6	NOUN
american_scientific_journal-3172	34	49	]	]	PUNCT
american_scientific_journal-3172	34	50	since	since	SCONJ
american_scientific_journal-3172	34	51	the	the	DET
american_scientific_journal-3172	34	52	term	term	NOUN
american_scientific_journal-3172	34	53	(	(	PUNCT
american_scientific_journal-3172	34	54	n+kn	n+kn	NOUN
american_scientific_journal-3172	34	55	)	)	PUNCT
american_scientific_journal-3172	34	56	is	be	AUX
american_scientific_journal-3172	34	57	identical	identical	ADJ
american_scientific_journal-3172	34	58	to	to	ADP
american_scientific_journal-3172	34	59	(	(	PUNCT
american_scientific_journal-3172	34	60	ℓp	ℓp	ADJ
american_scientific_journal-3172	34	61	+	+	CCONJ
american_scientific_journal-3172	34	62	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	34	63	):	):	PUNCT
american_scientific_journal-3172	34	64	(	(	PUNCT
american_scientific_journal-3172	34	65	n	n	X
american_scientific_journal-3172	34	66	+	+	CCONJ
american_scientific_journal-3172	34	67	kn	kn	PROPN
american_scientific_journal-3172	34	68	)	)	PUNCT
american_scientific_journal-3172	34	69	≡	≡	PROPN
american_scientific_journal-3172	34	70	(	(	PUNCT
american_scientific_journal-3172	34	71	ℓp	ℓp	ADJ
american_scientific_journal-3172	34	72	+	+	CCONJ
american_scientific_journal-3172	34	73	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	34	74	)	)	PUNCT
american_scientific_journal-3172	35	1	we	we	PRON
american_scientific_journal-3172	35	2	can	can	AUX
american_scientific_journal-3172	35	3	rewrite	rewrite	VERB
american_scientific_journal-3172	35	4	the	the	DET
american_scientific_journal-3172	35	5	above	above	ADJ
american_scientific_journal-3172	35	6	equation	equation	NOUN
american_scientific_journal-3172	35	7	to	to	PART
american_scientific_journal-3172	35	8	:	:	PUNCT
american_scientific_journal-3172	35	9	∑	∑	PUNCT
american_scientific_journal-3172	35	10	𝐶𝐶𝑘𝑘	𝐶𝐶𝑘𝑘	PROPN
american_scientific_journal-3172	35	11	𝑘𝑘∞	𝑘𝑘∞	PROPN
american_scientific_journal-3172	35	12	𝑘𝑘=0	𝑘𝑘=0	NOUN
american_scientific_journal-3172	35	13	=	=	SYM
american_scientific_journal-3172	35	14	∑	∑	PUNCT
american_scientific_journal-3172	35	15	π	π	PROPN
american_scientific_journal-3172	35	16	�	�	PROPN
american_scientific_journal-3172	35	17	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	35	18	�	�	PROPN
american_scientific_journal-3172	35	19	1	1	NUM
american_scientific_journal-3172	35	20	+	+	NUM
american_scientific_journal-3172	35	21	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	35	22	)	)	PUNCT
american_scientific_journal-3172	35	23	ℓp	ℓp	ADJ
american_scientific_journal-3172	35	24	+	+	NOUN
american_scientific_journal-3172	35	25	(	(	PUNCT
american_scientific_journal-3172	35	26	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	35	27	(	(	PUNCT
american_scientific_journal-3172	35	28	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	35	29	�	�	PROPN
american_scientific_journal-3172	35	30	𝜋𝜋	𝜋𝜋	PROPN
american_scientific_journal-3172	35	31	𝑘𝑘∞	𝑘𝑘∞	PROPN
american_scientific_journal-3172	35	32	𝑘𝑘=0	𝑘𝑘=0	PROPN
american_scientific_journal-3172	35	33	eq(7	eq(7	NOUN
american_scientific_journal-3172	35	34	)	)	PUNCT
american_scientific_journal-3172	35	35	and	and	CCONJ
american_scientific_journal-3172	35	36	now	now	ADV
american_scientific_journal-3172	35	37	lets	lets	AUX
american_scientific_journal-3172	35	38	suppose	suppose	VERB
american_scientific_journal-3172	35	39	and	and	CCONJ
american_scientific_journal-3172	35	40	imagine	imagine	VERB
american_scientific_journal-3172	35	41	that	that	SCONJ
american_scientific_journal-3172	35	42	the	the	DET
american_scientific_journal-3172	35	43	difference	difference	NOUN
american_scientific_journal-3172	35	44	that	that	PRON
american_scientific_journal-3172	35	45	happens	happen	VERB
american_scientific_journal-3172	35	46	from	from	ADP
american_scientific_journal-3172	35	47	the	the	DET
american_scientific_journal-3172	35	48	spin	spin	NOUN
american_scientific_journal-3172	35	49	kinetic	kinetic	ADJ
american_scientific_journal-3172	35	50	energy	energy	NOUN
american_scientific_journal-3172	35	51	and	and	CCONJ
american_scientific_journal-3172	35	52	the	the	DET
american_scientific_journal-3172	35	53	ke	ke	NOUN
american_scientific_journal-3172	35	54	of	of	ADP
american_scientific_journal-3172	35	55	the	the	DET
american_scientific_journal-3172	35	56	quark	quark	PROPN
american_scientific_journal-3172	35	57	result	result	VERB
american_scientific_journal-3172	35	58	vector	vector	NOUN
american_scientific_journal-3172	36	1	[	[	X
american_scientific_journal-3172	36	2	that	that	SCONJ
american_scientific_journal-3172	36	3	"	"	PUNCT
american_scientific_journal-3172	36	4	push	push	VERB
american_scientific_journal-3172	36	5	"	"	PUNCT
american_scientific_journal-3172	36	6	the	the	DET
american_scientific_journal-3172	36	7	higgs	higgs	PROPN
american_scientific_journal-3172	36	8	bosons	bosons	PROPN
american_scientific_journal-3172	36	9	on	on	ADP
american_scientific_journal-3172	36	10	the	the	DET
american_scientific_journal-3172	36	11	surface	surface	NOUN
american_scientific_journal-3172	36	12	area	area	NOUN
american_scientific_journal-3172	36	13	of	of	ADP
american_scientific_journal-3172	36	14	the	the	DET
american_scientific_journal-3172	36	15	quark	quark	NOUN
american_scientific_journal-3172	36	16	to	to	PART
american_scientific_journal-3172	36	17	collision	collision	VERB
american_scientific_journal-3172	36	18	with	with	ADP
american_scientific_journal-3172	36	19	the	the	DET
american_scientific_journal-3172	36	20	others	others	PROPN
american_scientific_journal-3172	36	21	higgs	higgs	PROPN
american_scientific_journal-3172	36	22	bosons	bosons	PROPN
american_scientific_journal-3172	36	23	and	and	CCONJ
american_scientific_journal-3172	36	24	lose	lose	VERB
american_scientific_journal-3172	36	25	their	their	PRON
american_scientific_journal-3172	36	26	energy	energy	NOUN
american_scientific_journal-3172	36	27	to	to	PART
american_scientific_journal-3172	36	28	return	return	VERB
american_scientific_journal-3172	36	29	in	in	ADP
american_scientific_journal-3172	36	30	the	the	DET
american_scientific_journal-3172	36	31	ground	ground	NOUN
american_scientific_journal-3172	36	32	state	state	NOUN
american_scientific_journal-3172	36	33	of	of	ADP
american_scientific_journal-3172	36	34	energy	energy	NOUN
american_scientific_journal-3172	36	35	on	on	ADP
american_scientific_journal-3172	36	36	the	the	DET
american_scientific_journal-3172	36	37	surface	surface	NOUN
american_scientific_journal-3172	36	38	of	of	ADP
american_scientific_journal-3172	36	39	the	the	DET
american_scientific_journal-3172	36	40	quark	quark	NOUN
american_scientific_journal-3172	36	41	]	]	PUNCT
american_scientific_journal-3172	36	42	in	in	ADP
american_scientific_journal-3172	36	43	other	other	ADJ
american_scientific_journal-3172	36	44	words	word	NOUN
american_scientific_journal-3172	36	45	,	,	PUNCT
american_scientific_journal-3172	36	46	as	as	SCONJ
american_scientific_journal-3172	36	47	we	we	PRON
american_scientific_journal-3172	36	48	suppose	suppose	VERB
american_scientific_journal-3172	36	49	and	and	CCONJ
american_scientific_journal-3172	36	50	imagine	imagine	VERB
american_scientific_journal-3172	36	51	that	that	SCONJ
american_scientific_journal-3172	36	52	the	the	DET
american_scientific_journal-3172	36	53	higgs	higgs	PROPN
american_scientific_journal-3172	36	54	bosons	boson	NOUN
american_scientific_journal-3172	36	55	are	be	AUX
american_scientific_journal-3172	36	56	like	like	ADP
american_scientific_journal-3172	36	57	bouncing	bounce	VERB
american_scientific_journal-3172	36	58	around	around	ADP
american_scientific_journal-3172	36	59	the	the	DET
american_scientific_journal-3172	36	60	quark	quark	NOUN
american_scientific_journal-3172	36	61	,	,	PUNCT
american_scientific_journal-3172	36	62	they	they	PRON
american_scientific_journal-3172	36	63	pushed	push	VERB
american_scientific_journal-3172	36	64	away	away	ADV
american_scientific_journal-3172	36	65	and	and	CCONJ
american_scientific_journal-3172	36	66	return	return	VERB
american_scientific_journal-3172	36	67	again	again	ADV
american_scientific_journal-3172	36	68	to	to	ADP
american_scientific_journal-3172	36	69	the	the	DET
american_scientific_journal-3172	36	70	surface	surface	NOUN
american_scientific_journal-3172	36	71	of	of	ADP
american_scientific_journal-3172	36	72	the	the	DET
american_scientific_journal-3172	36	73	quark	quark	NOUN
american_scientific_journal-3172	36	74	,	,	PUNCT
american_scientific_journal-3172	36	75	and	and	CCONJ
american_scientific_journal-3172	36	76	these	these	PRON
american_scientific_journal-3172	36	77	are	be	AUX
american_scientific_journal-3172	36	78	the	the	DET
american_scientific_journal-3172	36	79	only	only	ADJ
american_scientific_journal-3172	36	80	bosons	boson	NOUN
american_scientific_journal-3172	36	81	on	on	ADP
american_scientific_journal-3172	36	82	the	the	DET
american_scientific_journal-3172	36	83	surface	surface	NOUN
american_scientific_journal-3172	36	84	of	of	ADP
american_scientific_journal-3172	36	85	the	the	DET
american_scientific_journal-3172	36	86	quark	quark	NOUN
american_scientific_journal-3172	36	87	,	,	PUNCT
american_scientific_journal-3172	36	88	or	or	CCONJ
american_scientific_journal-3172	36	89	like	like	INTJ
american_scientific_journal-3172	36	90	i	i	PRON
american_scientific_journal-3172	36	91	would	would	AUX
american_scientific_journal-3172	36	92	to	to	PART
american_scientific_journal-3172	36	93	call	call	VERB
american_scientific_journal-3172	36	94	this	this	PRON
american_scientific_journal-3172	36	95	"	"	PUNCT
american_scientific_journal-3172	36	96	the	the	DET
american_scientific_journal-3172	36	97	ground	ground	NOUN
american_scientific_journal-3172	36	98	state	state	NOUN
american_scientific_journal-3172	36	99	of	of	ADP
american_scientific_journal-3172	36	100	higgs	higgs	PROPN
american_scientific_journal-3172	36	101	bosons	bosons	PROPN
american_scientific_journal-3172	36	102	energy	energy	NOUN
american_scientific_journal-3172	36	103	"	"	PUNCT
american_scientific_journal-3172	36	104	.	.	PUNCT
american_scientific_journal-3172	37	1	the	the	DET
american_scientific_journal-3172	37	2	higgs	higgs	PROPN
american_scientific_journal-3172	37	3	bosons	bosons	PROPN
american_scientific_journal-3172	37	4	and	and	CCONJ
american_scientific_journal-3172	37	5	the	the	DET
american_scientific_journal-3172	37	6	higgs	higgs	NOUN
american_scientific_journal-3172	37	7	field	field	NOUN
american_scientific_journal-3172	37	8	are	be	AUX
american_scientific_journal-3172	37	9	everywhere	everywhere	ADV
american_scientific_journal-3172	37	10	in	in	ADP
american_scientific_journal-3172	37	11	the	the	DET
american_scientific_journal-3172	37	12	universe	universe	NOUN
american_scientific_journal-3172	37	13	[	[	X
american_scientific_journal-3172	37	14	3	3	NUM
american_scientific_journal-3172	37	15	]	]	PUNCT
american_scientific_journal-3172	37	16	.	.	PUNCT
american_scientific_journal-3172	38	1	in	in	ADP
american_scientific_journal-3172	38	2	order	order	NOUN
american_scientific_journal-3172	38	3	to	to	PART
american_scientific_journal-3172	38	4	determine	determine	VERB
american_scientific_journal-3172	38	5	the	the	DET
american_scientific_journal-3172	38	6	ground	ground	NOUN
american_scientific_journal-3172	38	7	state	state	NOUN
american_scientific_journal-3172	38	8	approximately	approximately	ADV
american_scientific_journal-3172	38	9	density	density	NOUN
american_scientific_journal-3172	38	10	we	we	PRON
american_scientific_journal-3172	38	11	need	need	VERB
american_scientific_journal-3172	38	12	to	to	PART
american_scientific_journal-3172	38	13	suppose	suppose	VERB
american_scientific_journal-3172	38	14	that	that	SCONJ
american_scientific_journal-3172	38	15	at	at	ADP
american_scientific_journal-3172	38	16	every	every	DET
american_scientific_journal-3172	38	17	point	point	NOUN
american_scientific_journal-3172	38	18	of	of	ADP
american_scientific_journal-3172	38	19	the	the	DET
american_scientific_journal-3172	38	20	planck	planck	NOUN
american_scientific_journal-3172	38	21	length	length	NOUN
american_scientific_journal-3172	38	22	there	there	PRON
american_scientific_journal-3172	38	23	is	be	VERB
american_scientific_journal-3172	38	24	a	a	DET
american_scientific_journal-3172	38	25	higgs	higgs	NOUN
american_scientific_journal-3172	38	26	boson	boson	NOUN
american_scientific_journal-3172	38	27	,	,	PUNCT
american_scientific_journal-3172	38	28	if	if	SCONJ
american_scientific_journal-3172	38	29	it	it	PRON
american_scientific_journal-3172	38	30	's	be	AUX
american_scientific_journal-3172	38	31	incorrect	incorrect	ADJ
american_scientific_journal-3172	38	32	its	its	PRON
american_scientific_journal-3172	38	33	will	will	AUX
american_scientific_journal-3172	38	34	be	be	AUX
american_scientific_journal-3172	38	35	relative	relative	ADJ
american_scientific_journal-3172	38	36	;	;	PUNCT
american_scientific_journal-3172	38	37	because	because	SCONJ
american_scientific_journal-3172	38	38	as	as	SCONJ
american_scientific_journal-3172	38	39	we	we	PRON
american_scientific_journal-3172	38	40	said	say	VERB
american_scientific_journal-3172	38	41	we	we	PRON
american_scientific_journal-3172	38	42	ca	can	AUX
american_scientific_journal-3172	38	43	n't	not	PART
american_scientific_journal-3172	38	44	calculate	calculate	VERB
american_scientific_journal-3172	38	45	the	the	DET
american_scientific_journal-3172	38	46	resultant	resultant	NOUN
american_scientific_journal-3172	38	47	vector	vector	NOUN
american_scientific_journal-3172	38	48	and	and	CCONJ
american_scientific_journal-3172	38	49	the	the	DET
american_scientific_journal-3172	38	50	higgs	higgs	PROPN
american_scientific_journal-3172	38	51	bosons	bosons	PROPN
american_scientific_journal-3172	38	52	are	be	AUX
american_scientific_journal-3172	38	53	everywhere	everywhere	ADV
american_scientific_journal-3172	38	54	.	.	PUNCT
american_scientific_journal-3172	39	1	and	and	CCONJ
american_scientific_journal-3172	39	2	we	we	PRON
american_scientific_journal-3172	39	3	just	just	ADV
american_scientific_journal-3172	39	4	modeling	model	VERB
american_scientific_journal-3172	39	5	the	the	DET
american_scientific_journal-3172	39	6	idea	idea	NOUN
american_scientific_journal-3172	39	7	by	by	ADP
american_scientific_journal-3172	39	8	mathematics	mathematic	NOUN
american_scientific_journal-3172	39	9	to	to	PART
american_scientific_journal-3172	39	10	reach	reach	VERB
american_scientific_journal-3172	39	11	the	the	DET
american_scientific_journal-3172	39	12	abstract	abstract	ADJ
american_scientific_journal-3172	39	13	proof	proof	ADJ
american_scientific_journal-3172	39	14	step	step	NOUN
american_scientific_journal-3172	39	15	by	by	ADP
american_scientific_journal-3172	39	16	step	step	NOUN
american_scientific_journal-3172	39	17	.	.	PUNCT
american_scientific_journal-3172	40	1	now	now	ADV
american_scientific_journal-3172	40	2	if	if	SCONJ
american_scientific_journal-3172	40	3	we	we	PRON
american_scientific_journal-3172	40	4	american	american	ADJ
american_scientific_journal-3172	40	5	scientific	scientific	ADJ
american_scientific_journal-3172	40	6	research	research	PROPN
american_scientific_journal-3172	40	7	journal	journal	NOUN
american_scientific_journal-3172	40	8	for	for	ADP
american_scientific_journal-3172	40	9	engineering	engineering	NOUN
american_scientific_journal-3172	40	10	,	,	PUNCT
american_scientific_journal-3172	40	11	technology	technology	NOUN
american_scientific_journal-3172	40	12	,	,	PUNCT
american_scientific_journal-3172	40	13	and	and	CCONJ
american_scientific_journal-3172	40	14	sciences	science	NOUN
american_scientific_journal-3172	40	15	(	(	PUNCT
american_scientific_journal-3172	40	16	asrjets	asrjet	NOUN
american_scientific_journal-3172	40	17	)	)	PUNCT
american_scientific_journal-3172	40	18	(	(	PUNCT
american_scientific_journal-3172	40	19	2017	2017	NUM
american_scientific_journal-3172	40	20	)	)	PUNCT
american_scientific_journal-3172	40	21	volume	volume	NOUN
american_scientific_journal-3172	40	22	34	34	NUM
american_scientific_journal-3172	40	23	,	,	PUNCT
american_scientific_journal-3172	40	24	no	no	DET
american_scientific_journal-3172	40	25	1	1	NUM
american_scientific_journal-3172	40	26	,	,	PUNCT
american_scientific_journal-3172	40	27	pp	pp	ADV
american_scientific_journal-3172	40	28	114	114	NUM
american_scientific_journal-3172	40	29	-	-	SYM
american_scientific_journal-3172	40	30	122	122	NUM
american_scientific_journal-3172	40	31	117	117	NUM
american_scientific_journal-3172	40	32	consider	consider	VERB
american_scientific_journal-3172	40	33	the	the	DET
american_scientific_journal-3172	40	34	planck	planck	NOUN
american_scientific_journal-3172	40	35	length	length	NOUN
american_scientific_journal-3172	40	36	as	as	ADP
american_scientific_journal-3172	40	37	length	length	NOUN
american_scientific_journal-3172	40	38	unit	unit	NOUN
american_scientific_journal-3172	40	39	,	,	PUNCT
american_scientific_journal-3172	40	40	the	the	DET
american_scientific_journal-3172	40	41	higgs	higgs	NOUN
american_scientific_journal-3172	40	42	field	field	NOUN
american_scientific_journal-3172	40	43	as	as	ADP
american_scientific_journal-3172	40	44	an	an	DET
american_scientific_journal-3172	40	45	energy	energy	NOUN
american_scientific_journal-3172	40	46	unit	unit	NOUN
american_scientific_journal-3172	40	47	,	,	PUNCT
american_scientific_journal-3172	40	48	then	then	ADV
american_scientific_journal-3172	40	49	the	the	DET
american_scientific_journal-3172	40	50	ground	ground	NOUN
american_scientific_journal-3172	40	51	state	state	PROPN
american_scientific_journal-3172	40	52	higgs	higgs	PROPN
american_scientific_journal-3172	40	53	bosons	bosons	PROPN
american_scientific_journal-3172	40	54	density	density	NOUN
american_scientific_journal-3172	40	55	will	will	AUX
american_scientific_journal-3172	40	56	be	be	AUX
american_scientific_journal-3172	40	57	as	as	SCONJ
american_scientific_journal-3172	40	58	we	we	PRON
american_scientific_journal-3172	40	59	said	say	VERB
american_scientific_journal-3172	40	60	:	:	PUNCT
american_scientific_journal-3172	40	61	𝜑𝜑𝑘𝑘	𝜑𝜑𝑘𝑘	NOUN
american_scientific_journal-3172	40	62	°	°	NOUN
american_scientific_journal-3172	41	1	=	=	PRON
american_scientific_journal-3172	41	2	𝑉𝑉𝑞𝑞	𝑉𝑉𝑞𝑞	PROPN
american_scientific_journal-3172	41	3	(	(	PUNCT
american_scientific_journal-3172	41	4	𝑍𝑍𝐻𝐻	𝑍𝑍𝐻𝐻	NOUN
american_scientific_journal-3172	41	5	ℓp	ℓp	NOUN
american_scientific_journal-3172	41	6	)	)	PUNCT
american_scientific_journal-3172	41	7	3	3	NUM
american_scientific_journal-3172	41	8	4𝜋𝜋𝑅𝑅𝑞𝑞	4𝜋𝜋𝑅𝑅𝑞𝑞	NUM
american_scientific_journal-3172	41	9	𝐻𝐻𝑚𝑚	𝐻𝐻𝑚𝑚	PROPN
american_scientific_journal-3172	41	10	eq(8	eq(8	PROPN
american_scientific_journal-3172	41	11	)	)	PUNCT
american_scientific_journal-3172	41	12	and	and	CCONJ
american_scientific_journal-3172	41	13	zh	zh	PROPN
american_scientific_journal-3172	41	14	is	be	AUX
american_scientific_journal-3172	41	15	higgs	higgs	NOUN
american_scientific_journal-3172	41	16	field	field	NOUN
american_scientific_journal-3172	41	17	energy	energy	NOUN
american_scientific_journal-3172	41	18	,	,	PUNCT
american_scientific_journal-3172	41	19	vq	vq	PROPN
american_scientific_journal-3172	41	20	is	be	AUX
american_scientific_journal-3172	41	21	the	the	DET
american_scientific_journal-3172	41	22	volume	volume	NOUN
american_scientific_journal-3172	41	23	of	of	ADP
american_scientific_journal-3172	41	24	the	the	DET
american_scientific_journal-3172	41	25	quark	quark	NOUN
american_scientific_journal-3172	41	26	,	,	PUNCT
american_scientific_journal-3172	41	27	hm	hm	INTJ
american_scientific_journal-3172	41	28	is	be	AUX
american_scientific_journal-3172	41	29	the	the	DET
american_scientific_journal-3172	41	30	higgs	higgs	PROPN
american_scientific_journal-3172	41	31	boson	boson	PROPN
american_scientific_journal-3172	41	32	mass	mass	PROPN
american_scientific_journal-3172	41	33	.	.	PUNCT
american_scientific_journal-3172	42	1	where	where	SCONJ
american_scientific_journal-3172	42	2	k	k	PROPN
american_scientific_journal-3172	42	3	note	note	NOUN
american_scientific_journal-3172	42	4	here	here	ADV
american_scientific_journal-3172	42	5	indicates	indicate	VERB
american_scientific_journal-3172	42	6	to	to	ADP
american_scientific_journal-3172	42	7	the	the	DET
american_scientific_journal-3172	42	8	ground	ground	NOUN
american_scientific_journal-3172	42	9	energy	energy	NOUN
american_scientific_journal-3172	42	10	density	density	NOUN
american_scientific_journal-3172	42	11	state	state	NOUN
american_scientific_journal-3172	42	12	.	.	PUNCT
american_scientific_journal-3172	43	1	if	if	SCONJ
american_scientific_journal-3172	43	2	we	we	PRON
american_scientific_journal-3172	43	3	continue	continue	VERB
american_scientific_journal-3172	43	4	imagining	imagine	VERB
american_scientific_journal-3172	43	5	we	we	PRON
american_scientific_journal-3172	43	6	will	will	AUX
american_scientific_journal-3172	43	7	find	find	VERB
american_scientific_journal-3172	43	8	that	that	SCONJ
american_scientific_journal-3172	43	9	the	the	DET
american_scientific_journal-3172	43	10	energy	energy	NOUN
american_scientific_journal-3172	43	11	which	which	PRON
american_scientific_journal-3172	43	12	transfer	transfer	VERB
american_scientific_journal-3172	43	13	from	from	ADP
american_scientific_journal-3172	43	14	the	the	DET
american_scientific_journal-3172	43	15	bouncing	bounce	VERB
american_scientific_journal-3172	43	16	ground	ground	NOUN
american_scientific_journal-3172	43	17	state	state	NOUN
american_scientific_journal-3172	43	18	higgs	higgs	PROPN
american_scientific_journal-3172	43	19	bosonswill	bosonswill	PROPN
american_scientific_journal-3172	43	20	reach	reach	VERB
american_scientific_journal-3172	43	21	the	the	DET
american_scientific_journal-3172	43	22	next	next	ADJ
american_scientific_journal-3172	43	23	energy	energy	NOUN
american_scientific_journal-3172	43	24	density	density	NOUN
american_scientific_journal-3172	43	25	state	state	NOUN
american_scientific_journal-3172	43	26	,	,	PUNCT
american_scientific_journal-3172	43	27	and	and	CCONJ
american_scientific_journal-3172	43	28	then	then	ADV
american_scientific_journal-3172	43	29	transfer	transfer	VERB
american_scientific_journal-3172	43	30	with	with	ADP
american_scientific_journal-3172	43	31	a	a	DET
american_scientific_journal-3172	43	32	lower	low	ADJ
american_scientific_journal-3172	43	33	magnitude	magnitude	NOUN
american_scientific_journal-3172	43	34	;	;	PUNCT
american_scientific_journal-3172	43	35	because	because	SCONJ
american_scientific_journal-3172	43	36	its	its	PRON
american_scientific_journal-3172	43	37	collision	collision	NOUN
american_scientific_journal-3172	43	38	with	with	ADP
american_scientific_journal-3172	43	39	next	next	ADJ
american_scientific_journal-3172	43	40	energy	energy	NOUN
american_scientific_journal-3172	43	41	density	density	PROPN
american_scientific_journal-3172	43	42	state	state	PROPN
american_scientific_journal-3172	43	43	higgs	higgs	PROPN
american_scientific_journal-3172	43	44	bosons	bosons	PROPN
american_scientific_journal-3172	43	45	{	{	PUNCT
american_scientific_journal-3172	43	46	in	in	ADP
american_scientific_journal-3172	43	47	a	a	DET
american_scientific_journal-3172	43	48	spherical	spherical	ADJ
american_scientific_journal-3172	43	49	coordinate	coordinate	NOUN
american_scientific_journal-3172	43	50	system}in	system}in	VERB
american_scientific_journal-3172	43	51	the	the	DET
american_scientific_journal-3172	43	52	same	same	ADJ
american_scientific_journal-3172	43	53	directions	direction	NOUN
american_scientific_journal-3172	43	54	.	.	PUNCT
american_scientific_journal-3172	44	1	and	and	CCONJ
american_scientific_journal-3172	44	2	we	we	PRON
american_scientific_journal-3172	44	3	figure	figure	VERB
american_scientific_journal-3172	44	4	out	out	ADP
american_scientific_journal-3172	44	5	in	in	ADP
american_scientific_journal-3172	44	6	eq(2	eq(2	NOUN
american_scientific_journal-3172	44	7	)	)	PUNCT
american_scientific_journal-3172	44	8	that	that	SCONJ
american_scientific_journal-3172	44	9	the	the	DET
american_scientific_journal-3172	44	10	surface	surface	NOUN
american_scientific_journal-3172	44	11	area	area	NOUN
american_scientific_journal-3172	44	12	of	of	ADP
american_scientific_journal-3172	44	13	a	a	DET
american_scientific_journal-3172	44	14	sphere	sphere	NOUN
american_scientific_journal-3172	44	15	with	with	ADP
american_scientific_journal-3172	44	16	a	a	DET
american_scientific_journal-3172	44	17	radius	radius	NOUN
american_scientific_journal-3172	44	18	(	(	PUNCT
american_scientific_journal-3172	44	19	n	n	CCONJ
american_scientific_journal-3172	44	20	)	)	PUNCT
american_scientific_journal-3172	44	21	formula	formula	NOUN
american_scientific_journal-3172	44	22	,	,	PUNCT
american_scientific_journal-3172	44	23	now	now	ADV
american_scientific_journal-3172	44	24	we	we	PRON
american_scientific_journal-3172	44	25	need	need	VERB
american_scientific_journal-3172	44	26	an	an	DET
american_scientific_journal-3172	44	27	equation	equation	NOUN
american_scientific_journal-3172	44	28	to	to	ADP
american_scientific_journal-3172	44	29	the	the	DET
american_scientific_journal-3172	44	30	whole	whole	ADJ
american_scientific_journal-3172	44	31	action	action	NOUN
american_scientific_journal-3172	44	32	:	:	PUNCT
american_scientific_journal-3172	45	1	�	�	PROPN
american_scientific_journal-3172	45	2	𝐾𝐾𝐾𝐾	𝐾𝐾𝐾𝐾	ADP
american_scientific_journal-3172	45	3	°	°	NOUN
american_scientific_journal-3172	45	4	→(𝐾𝐾+1)	→(𝐾𝐾+1)	NOUN
american_scientific_journal-3172	45	5	�	�	NOUN
american_scientific_journal-3172	45	6	=	=	SYM
american_scientific_journal-3172	45	7	�	�	PROPN
american_scientific_journal-3172	45	8	∑	∑	PROPN
american_scientific_journal-3172	45	9	𝑆𝑆𝐸𝐸2	𝑆𝑆𝐸𝐸2	PROPN
american_scientific_journal-3172	45	10	+	+	PROPN
american_scientific_journal-3172	45	11	𝐾𝐾𝐾𝐾𝑞𝑞2−	𝐾𝐾𝐾𝐾𝑞𝑞2−	PROPN
american_scientific_journal-3172	45	12	2|𝑆𝑆𝐸𝐸2𝜋𝜋	2|𝑆𝑆𝐸𝐸2𝜋𝜋	NUM
american_scientific_journal-3172	45	13	0	0	NUM
american_scientific_journal-3172	45	14	�	�	PROPN
american_scientific_journal-3172	45	15	�	�	PROPN
american_scientific_journal-3172	45	16	𝐾𝐾𝐾𝐾𝑞𝑞	𝐾𝐾𝐾𝐾𝑞𝑞	NOUN
american_scientific_journal-3172	45	17	�	�	NOUN
american_scientific_journal-3172	45	18	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	PROPN
american_scientific_journal-3172	45	19	�	�	PROPN
american_scientific_journal-3172	45	20	�	�	PROPN
american_scientific_journal-3172	45	21	∑	∑	PROPN
american_scientific_journal-3172	45	22	π	π	PROPN
american_scientific_journal-3172	45	23	�	�	PROPN
american_scientific_journal-3172	45	24	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	45	25	�	�	PROPN
american_scientific_journal-3172	45	26	1	1	NUM
american_scientific_journal-3172	45	27	+	+	NUM
american_scientific_journal-3172	45	28	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	45	29	)	)	PUNCT
american_scientific_journal-3172	45	30	ℓp	ℓp	ADJ
american_scientific_journal-3172	45	31	+	+	NOUN
american_scientific_journal-3172	45	32	(	(	PUNCT
american_scientific_journal-3172	45	33	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	45	34	(	(	PUNCT
american_scientific_journal-3172	45	35	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	45	36	�	�	PROPN
american_scientific_journal-3172	45	37	𝜋𝜋	𝜋𝜋	ADP
american_scientific_journal-3172	45	38	𝑘𝑘2	𝑘𝑘2	PROPN
american_scientific_journal-3172	45	39	𝑘𝑘=0	𝑘𝑘=0	PROPN
american_scientific_journal-3172	45	40	�	�	PROPN
american_scientific_journal-3172	45	41	�	�	PROPN
american_scientific_journal-3172	45	42	𝜑𝜑𝑘𝑘	𝜑𝜑𝑘𝑘	NOUN
american_scientific_journal-3172	45	43	°	°	X
american_scientific_journal-3172	45	44	�	�	PROPN
american_scientific_journal-3172	45	45	eq(9	eq(9	PROPN
american_scientific_journal-3172	45	46	)	)	PUNCT
american_scientific_journal-3172	45	47	−𝑉𝑉𝑞𝑞	−𝑉𝑉𝑞𝑞	PROPN
american_scientific_journal-3172	45	48	(	(	PUNCT
american_scientific_journal-3172	45	49	𝑍𝑍𝐻𝐻ℓp)3	𝑍𝑍𝐻𝐻ℓp)3	PROPN
american_scientific_journal-3172	45	50	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	45	51	�	�	PROPN
american_scientific_journal-3172	45	52	1	1	NUM
american_scientific_journal-3172	45	53	+	+	CCONJ
american_scientific_journal-3172	45	54	2(ℓp	2(ℓp	NUM
american_scientific_journal-3172	45	55	+	+	CCONJ
american_scientific_journal-3172	45	56	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	45	57	)	)	PUNCT
american_scientific_journal-3172	46	1	ℓp	ℓp	NOUN
american_scientific_journal-3172	46	2	+	+	CCONJ
american_scientific_journal-3172	46	3	(	(	PUNCT
american_scientific_journal-3172	46	4	ℓp	ℓp	ADJ
american_scientific_journal-3172	46	5	+	+	NUM
american_scientific_journal-3172	46	6	𝑘𝑘ℓp)2	𝑘𝑘ℓp)2	NOUN
american_scientific_journal-3172	46	7	(	(	PUNCT
american_scientific_journal-3172	46	8	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	46	9	�	�	PROPN
american_scientific_journal-3172	46	10	−	−	ADP
american_scientific_journal-3172	47	1	𝑍𝑍𝐸𝐸𝐻𝐻	𝑍𝑍𝐸𝐸𝐻𝐻	PROPN
american_scientific_journal-3172	47	2	the	the	DET
american_scientific_journal-3172	47	3	above	above	ADJ
american_scientific_journal-3172	47	4	equation	equation	NOUN
american_scientific_journal-3172	47	5	is	be	AUX
american_scientific_journal-3172	47	6	for	for	ADP
american_scientific_journal-3172	47	7	the	the	DET
american_scientific_journal-3172	47	8	transformation	transformation	NOUN
american_scientific_journal-3172	47	9	from	from	ADP
american_scientific_journal-3172	47	10	𝐾𝐾	𝐾𝐾	PROPN
american_scientific_journal-3172	47	11	°	°	NOUN
american_scientific_journal-3172	47	12	→	→	PUNCT
american_scientific_journal-3172	47	13	(	(	PUNCT
american_scientific_journal-3172	47	14	𝐾𝐾	𝐾𝐾	NOUN
american_scientific_journal-3172	47	15	+	+	CCONJ
american_scientific_journal-3172	47	16	1	1	NUM
american_scientific_journal-3172	47	17	)	)	PUNCT
american_scientific_journal-3172	47	18	to	to	PART
american_scientific_journal-3172	47	19	write	write	VERB
american_scientific_journal-3172	47	20	the	the	DET
american_scientific_journal-3172	47	21	equations	equation	NOUN
american_scientific_journal-3172	47	22	for	for	ADP
american_scientific_journal-3172	47	23	the	the	DET
american_scientific_journal-3172	47	24	whole	whole	ADJ
american_scientific_journal-3172	47	25	action	action	NOUN
american_scientific_journal-3172	47	26	:	:	PUNCT
american_scientific_journal-3172	47	27	{	{	PUNCT
american_scientific_journal-3172	47	28	�	�	PROPN
american_scientific_journal-3172	47	29	𝐾𝐾𝐾𝐾	𝐾𝐾𝐾𝐾	ADP
american_scientific_journal-3172	47	30	°	°	NOUN
american_scientific_journal-3172	47	31	→(𝐾𝐾𝑛𝑛)	→(𝐾𝐾𝑛𝑛)	NOUN
american_scientific_journal-3172	47	32	�	�	SYM
american_scientific_journal-3172	47	33	=	=	SYM
american_scientific_journal-3172	47	34	�	�	PROPN
american_scientific_journal-3172	47	35	∑	∑	PROPN
american_scientific_journal-3172	47	36	𝑆𝑆𝐸𝐸2	𝑆𝑆𝐸𝐸2	PROPN
american_scientific_journal-3172	47	37	+	+	PROPN
american_scientific_journal-3172	47	38	𝐾𝐾𝐾𝐾𝑞𝑞2−	𝐾𝐾𝐾𝐾𝑞𝑞2−	PROPN
american_scientific_journal-3172	47	39	2|𝑆𝑆𝐸𝐸2𝜋𝜋	2|𝑆𝑆𝐸𝐸2𝜋𝜋	NUM
american_scientific_journal-3172	47	40	0	0	NUM
american_scientific_journal-3172	47	41	�	�	PROPN
american_scientific_journal-3172	47	42	�	�	PROPN
american_scientific_journal-3172	47	43	𝐾𝐾𝐾𝐾𝑞𝑞	𝐾𝐾𝐾𝐾𝑞𝑞	NOUN
american_scientific_journal-3172	47	44	�	�	NOUN
american_scientific_journal-3172	47	45	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	PROPN
american_scientific_journal-3172	47	46	�	�	PROPN
american_scientific_journal-3172	47	47	�	�	PROPN
american_scientific_journal-3172	47	48	∑	∑	PROPN
american_scientific_journal-3172	47	49	π	π	PROPN
american_scientific_journal-3172	47	50	�	�	PROPN
american_scientific_journal-3172	47	51	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	47	52	�	�	PROPN
american_scientific_journal-3172	47	53	1	1	NUM
american_scientific_journal-3172	47	54	+	+	NUM
american_scientific_journal-3172	47	55	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	47	56	)	)	PUNCT
american_scientific_journal-3172	47	57	ℓp	ℓp	ADJ
american_scientific_journal-3172	48	1	+	+	NOUN
american_scientific_journal-3172	48	2	(	(	PUNCT
american_scientific_journal-3172	48	3	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	48	4	(	(	PUNCT
american_scientific_journal-3172	48	5	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	48	6	�	�	PROPN
american_scientific_journal-3172	48	7	𝜋𝜋	𝜋𝜋	ADP
american_scientific_journal-3172	48	8	𝑘𝑘2	𝑘𝑘2	PROPN
american_scientific_journal-3172	48	9	𝑘𝑘=0	𝑘𝑘=0	PROPN
american_scientific_journal-3172	48	10	�	�	PROPN
american_scientific_journal-3172	48	11	�	�	PROPN
american_scientific_journal-3172	48	12	𝜑𝜑𝑘𝑘	𝜑𝜑𝑘𝑘	NOUN
american_scientific_journal-3172	48	13	°	°	X
american_scientific_journal-3172	48	14	�	�	PROPN
american_scientific_journal-3172	49	1	eq[10	eq[10	PRON
american_scientific_journal-3172	49	2	]	]	PUNCT
american_scientific_journal-3172	49	3	−	−	PROPN
american_scientific_journal-3172	49	4	�	�	PROPN
american_scientific_journal-3172	49	5	𝑉𝑉𝑞𝑞	𝑉𝑉𝑞𝑞	PROPN
american_scientific_journal-3172	49	6	(	(	PUNCT
american_scientific_journal-3172	49	7	𝑍𝑍𝐻𝐻ℓp)3	𝑍𝑍𝐻𝐻ℓp)3	PROPN
american_scientific_journal-3172	49	8	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	49	9	�	�	PROPN
american_scientific_journal-3172	49	10	1	1	NUM
american_scientific_journal-3172	49	11	+	+	CCONJ
american_scientific_journal-3172	49	12	2(ℓp	2(ℓp	NUM
american_scientific_journal-3172	49	13	+	+	CCONJ
american_scientific_journal-3172	49	14	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	49	15	)	)	PUNCT
american_scientific_journal-3172	49	16	ℓp	ℓp	NOUN
american_scientific_journal-3172	49	17	+	+	CCONJ
american_scientific_journal-3172	49	18	(	(	PUNCT
american_scientific_journal-3172	49	19	ℓp	ℓp	ADJ
american_scientific_journal-3172	49	20	+	+	NUM
american_scientific_journal-3172	49	21	𝑘𝑘ℓp)2	𝑘𝑘ℓp)2	NOUN
american_scientific_journal-3172	49	22	(	(	PUNCT
american_scientific_journal-3172	49	23	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	49	24	�	�	PROPN
american_scientific_journal-3172	49	25	𝑘𝑘𝑛𝑛	𝑘𝑘𝑛𝑛	PROPN
american_scientific_journal-3172	49	26	(	(	PUNCT
american_scientific_journal-3172	49	27	𝑘𝑘=0	𝑘𝑘=0	NOUN
american_scientific_journal-3172	49	28	)	)	PUNCT
american_scientific_journal-3172	49	29	−𝑍𝑍𝐸𝐸𝐻𝐻	−𝑍𝑍𝐸𝐸𝐻𝐻	NOUN
american_scientific_journal-3172	50	1	we	we	PRON
american_scientific_journal-3172	50	2	know	know	VERB
american_scientific_journal-3172	50	3	that	that	SCONJ
american_scientific_journal-3172	50	4	the	the	DET
american_scientific_journal-3172	50	5	bouncing	bounce	VERB
american_scientific_journal-3172	50	6	higgs	higgs	NOUN
american_scientific_journal-3172	50	7	bosons	boson	NOUN
american_scientific_journal-3172	50	8	will	will	AUX
american_scientific_journal-3172	50	9	reach	reach	VERB
american_scientific_journal-3172	50	10	the	the	DET
american_scientific_journal-3172	50	11	maximum	maximum	ADJ
american_scientific_journal-3172	50	12	energy	energy	NOUN
american_scientific_journal-3172	50	13	state	state	NOUN
american_scientific_journal-3172	50	14	and	and	CCONJ
american_scientific_journal-3172	50	15	lost	lose	VERB
american_scientific_journal-3172	50	16	all	all	DET
american_scientific_journal-3172	50	17	their	their	PRON
american_scientific_journal-3172	50	18	kinetic	kinetic	ADJ
american_scientific_journal-3172	50	19	energy	energy	NOUN
american_scientific_journal-3172	50	20	.	.	PUNCT
american_scientific_journal-3172	51	1	and	and	CCONJ
american_scientific_journal-3172	51	2	that	that	PRON
american_scientific_journal-3172	51	3	takes	take	VERB
american_scientific_journal-3172	51	4	a	a	DET
american_scientific_journal-3172	51	5	sphere	sphere	NOUN
american_scientific_journal-3172	51	6	shape	shape	NOUN
american_scientific_journal-3172	51	7	.	.	PUNCT
american_scientific_journal-3172	52	1	also	also	ADV
american_scientific_journal-3172	52	2	we	we	PRON
american_scientific_journal-3172	52	3	know	know	VERB
american_scientific_journal-3172	52	4	that	that	SCONJ
american_scientific_journal-3172	52	5	all	all	DET
american_scientific_journal-3172	52	6	the	the	DET
american_scientific_journal-3172	52	7	quarks	quark	NOUN
american_scientific_journal-3172	52	8	have	have	VERB
american_scientific_journal-3172	52	9	the	the	DET
american_scientific_journal-3172	52	10	same	same	ADJ
american_scientific_journal-3172	52	11	spin	spin	NOUN
american_scientific_journal-3172	52	12	magnitude	magnitude	NOUN
american_scientific_journal-3172	52	13	,	,	PUNCT
american_scientific_journal-3172	52	14	and	and	CCONJ
american_scientific_journal-3172	52	15	its	its	PRON
american_scientific_journal-3172	52	16	not	not	PART
american_scientific_journal-3172	52	17	really	really	ADV
american_scientific_journal-3172	52	18	necessary	necessary	ADJ
american_scientific_journal-3172	52	19	to	to	PART
american_scientific_journal-3172	52	20	determine	determine	VERB
american_scientific_journal-3172	52	21	the	the	DET
american_scientific_journal-3172	52	22	direction	direction	NOUN
american_scientific_journal-3172	52	23	of	of	ADP
american_scientific_journal-3172	52	24	the	the	DET
american_scientific_journal-3172	52	25	spin	spin	NOUN
american_scientific_journal-3172	52	26	;	;	PUNCT
american_scientific_journal-3172	52	27	because	because	SCONJ
american_scientific_journal-3172	52	28	the	the	DET
american_scientific_journal-3172	52	29	bouncing	bounce	VERB
american_scientific_journal-3172	52	30	higgs	higgs	NOUN
american_scientific_journal-3172	52	31	boson	boson	PROPN
american_scientific_journal-3172	52	32	are	be	AUX
american_scientific_journal-3172	52	33	moving	move	VERB
american_scientific_journal-3172	52	34	in	in	ADP
american_scientific_journal-3172	52	35	all	all	DET
american_scientific_journal-3172	52	36	the	the	DET
american_scientific_journal-3172	52	37	directions	direction	NOUN
american_scientific_journal-3172	52	38	.	.	PUNCT
american_scientific_journal-3172	53	1	the	the	DET
american_scientific_journal-3172	53	2	direction	direction	NOUN
american_scientific_journal-3172	53	3	of	of	ADP
american_scientific_journal-3172	53	4	the	the	DET
american_scientific_journal-3172	53	5	spin	spin	NOUN
american_scientific_journal-3172	53	6	actually	actually	ADV
american_scientific_journal-3172	53	7	does	do	AUX
american_scientific_journal-3172	53	8	n’t	not	PART
american_scientific_journal-3172	53	9	make	make	VERB
american_scientific_journal-3172	53	10	any	any	DET
american_scientific_journal-3172	53	11	difference	difference	NOUN
american_scientific_journal-3172	53	12	.	.	PUNCT
american_scientific_journal-3172	54	1	z	z	NOUN
american_scientific_journal-3172	54	2	is	be	AUX
american_scientific_journal-3172	54	3	the	the	DET
american_scientific_journal-3172	54	4	higgs	higgs	PROPN
american_scientific_journal-3172	54	5	field	field	NOUN
american_scientific_journal-3172	54	6	energy	energy	NOUN
american_scientific_journal-3172	54	7	,	,	PUNCT
american_scientific_journal-3172	54	8	american	american	ADJ
american_scientific_journal-3172	54	9	scientific	scientific	ADJ
american_scientific_journal-3172	54	10	research	research	NOUN
american_scientific_journal-3172	54	11	journal	journal	NOUN
american_scientific_journal-3172	54	12	for	for	ADP
american_scientific_journal-3172	54	13	engineering	engineering	NOUN
american_scientific_journal-3172	54	14	,	,	PUNCT
american_scientific_journal-3172	54	15	technology	technology	NOUN
american_scientific_journal-3172	54	16	,	,	PUNCT
american_scientific_journal-3172	54	17	and	and	CCONJ
american_scientific_journal-3172	54	18	sciences	science	NOUN
american_scientific_journal-3172	54	19	(	(	PUNCT
american_scientific_journal-3172	54	20	asrjets	asrjet	NOUN
american_scientific_journal-3172	54	21	)	)	PUNCT
american_scientific_journal-3172	54	22	(	(	PUNCT
american_scientific_journal-3172	54	23	2017	2017	NUM
american_scientific_journal-3172	54	24	)	)	PUNCT
american_scientific_journal-3172	54	25	volume	volume	NOUN
american_scientific_journal-3172	54	26	34	34	NUM
american_scientific_journal-3172	54	27	,	,	PUNCT
american_scientific_journal-3172	54	28	no	no	DET
american_scientific_journal-3172	54	29	1	1	NUM
american_scientific_journal-3172	54	30	,	,	PUNCT
american_scientific_journal-3172	54	31	pp	pp	ADV
american_scientific_journal-3172	54	32	114	114	NUM
american_scientific_journal-3172	54	33	-	-	SYM
american_scientific_journal-3172	54	34	122	122	NUM
american_scientific_journal-3172	55	1	118	118	NUM
american_scientific_journal-3172	55	2	now	now	ADV
american_scientific_journal-3172	55	3	that	that	PRON
american_scientific_journal-3172	55	4	’s	’s	AUX
american_scientific_journal-3172	55	5	leaves	leave	VERB
american_scientific_journal-3172	55	6	us	we	PRON
american_scientific_journal-3172	55	7	with	with	ADP
american_scientific_journal-3172	55	8	two	two	NUM
american_scientific_journal-3172	55	9	cases	case	NOUN
american_scientific_journal-3172	55	10	;	;	PUNCT
american_scientific_journal-3172	55	11	because	because	SCONJ
american_scientific_journal-3172	55	12	the	the	DET
american_scientific_journal-3172	55	13	quarks	quarks	NOUN
american_scientific_journal-3172	55	14	properties	property	NOUN
american_scientific_journal-3172	55	15	are	be	AUX
american_scientific_journal-3172	55	16	the	the	DET
american_scientific_journal-3172	55	17	same	same	ADJ
american_scientific_journal-3172	55	18	and	and	CCONJ
american_scientific_journal-3172	55	19	the	the	DET
american_scientific_journal-3172	55	20	difference	difference	NOUN
american_scientific_journal-3172	55	21	of	of	ADP
american_scientific_journal-3172	55	22	them	they	PRON
american_scientific_journal-3172	55	23	does	do	AUX
american_scientific_journal-3172	55	24	n't	not	PART
american_scientific_journal-3172	55	25	matter	matter	VERB
american_scientific_journal-3172	55	26	:	:	PUNCT
american_scientific_journal-3172	55	27	case	case	NOUN
american_scientific_journal-3172	55	28	1	1	NUM
american_scientific_journal-3172	55	29	:	:	PUNCT
american_scientific_journal-3172	55	30	the	the	DET
american_scientific_journal-3172	55	31	kinetic	kinetic	ADJ
american_scientific_journal-3172	55	32	energy	energy	NOUN
american_scientific_journal-3172	55	33	of	of	ADP
american_scientific_journal-3172	55	34	the	the	DET
american_scientific_journal-3172	55	35	quarks	quark	NOUN
american_scientific_journal-3172	55	36	are	be	AUX
american_scientific_journal-3172	55	37	the	the	DET
american_scientific_journal-3172	55	38	same	same	ADJ
american_scientific_journal-3172	55	39	.	.	PUNCT
american_scientific_journal-3172	56	1	case	case	NOUN
american_scientific_journal-3172	56	2	2	2	NUM
american_scientific_journal-3172	56	3	:	:	PUNCT
american_scientific_journal-3172	56	4	the	the	DET
american_scientific_journal-3172	56	5	kinetic	kinetic	ADJ
american_scientific_journal-3172	56	6	energy	energy	NOUN
american_scientific_journal-3172	56	7	of	of	ADP
american_scientific_journal-3172	56	8	the	the	DET
american_scientific_journal-3172	56	9	quarks	quark	NOUN
american_scientific_journal-3172	56	10	are	be	AUX
american_scientific_journal-3172	56	11	not	not	PART
american_scientific_journal-3172	56	12	the	the	DET
american_scientific_journal-3172	56	13	same	same	ADJ
american_scientific_journal-3172	56	14	.	.	PUNCT
american_scientific_journal-3172	57	1	now	now	ADV
american_scientific_journal-3172	57	2	lets	let	VERB
american_scientific_journal-3172	57	3	take	take	VERB
american_scientific_journal-3172	57	4	the	the	DET
american_scientific_journal-3172	57	5	first	first	ADJ
american_scientific_journal-3172	57	6	case	case	NOUN
american_scientific_journal-3172	57	7	,	,	PUNCT
american_scientific_journal-3172	57	8	we	we	PRON
american_scientific_journal-3172	57	9	know	know	VERB
american_scientific_journal-3172	57	10	that	that	SCONJ
american_scientific_journal-3172	57	11	the	the	DET
american_scientific_journal-3172	57	12	bouncing	bouncing	NOUN
american_scientific_journal-3172	57	13	takes	take	VERB
american_scientific_journal-3172	57	14	a	a	DET
american_scientific_journal-3172	57	15	spherical	spherical	ADJ
american_scientific_journal-3172	57	16	shape	shape	NOUN
american_scientific_journal-3172	57	17	:	:	PUNCT
american_scientific_journal-3172	57	18	because	because	SCONJ
american_scientific_journal-3172	57	19	its	its	PRON
american_scientific_journal-3172	57	20	movement	movement	NOUN
american_scientific_journal-3172	57	21	is	be	AUX
american_scientific_journal-3172	57	22	in	in	ADP
american_scientific_journal-3172	57	23	the	the	DET
american_scientific_journal-3172	57	24	all	all	DET
american_scientific_journal-3172	57	25	the	the	DET
american_scientific_journal-3172	57	26	directions	direction	NOUN
american_scientific_journal-3172	57	27	and	and	CCONJ
american_scientific_journal-3172	57	28	all	all	DET
american_scientific_journal-3172	57	29	the	the	DET
american_scientific_journal-3172	57	30	quarks	quarks	NOUN
american_scientific_journal-3172	57	31	properties	property	NOUN
american_scientific_journal-3172	57	32	that	that	PRON
american_scientific_journal-3172	57	33	makes	make	VERB
american_scientific_journal-3172	57	34	a	a	DET
american_scientific_journal-3172	57	35	difference	difference	NOUN
american_scientific_journal-3172	57	36	in	in	ADP
american_scientific_journal-3172	57	37	this	this	DET
american_scientific_journal-3172	57	38	case	case	NOUN
american_scientific_journal-3172	57	39	is	be	AUX
american_scientific_journal-3172	57	40	the	the	DET
american_scientific_journal-3172	57	41	same	same	ADJ
american_scientific_journal-3172	57	42	.	.	PUNCT
american_scientific_journal-3172	58	1	that	that	PRON
american_scientific_journal-3172	58	2	’s	’	VERB
american_scientific_journal-3172	58	3	mean	mean	VERB
american_scientific_journal-3172	58	4	that	that	SCONJ
american_scientific_journal-3172	58	5	all	all	DET
american_scientific_journal-3172	58	6	the	the	DET
american_scientific_journal-3172	58	7	bouncing	bounce	VERB
american_scientific_journal-3172	58	8	higgs	higgs	NOUN
american_scientific_journal-3172	58	9	bosons	boson	NOUN
american_scientific_journal-3172	58	10	reach	reach	VERB
american_scientific_journal-3172	58	11	the	the	DET
american_scientific_journal-3172	58	12	same	same	ADJ
american_scientific_journal-3172	58	13	energy	energy	NOUN
american_scientific_journal-3172	58	14	density	density	NOUN
american_scientific_journal-3172	58	15	state	state	NOUN
american_scientific_journal-3172	58	16	in	in	ADP
american_scientific_journal-3172	58	17	the	the	DET
american_scientific_journal-3172	58	18	same	same	ADJ
american_scientific_journal-3172	58	19	time	time	NOUN
american_scientific_journal-3172	58	20	.	.	PUNCT
american_scientific_journal-3172	59	1	and	and	CCONJ
american_scientific_journal-3172	59	2	furthermore	furthermore	ADV
american_scientific_journal-3172	59	3	,	,	PUNCT
american_scientific_journal-3172	59	4	their	their	PRON
american_scientific_journal-3172	59	5	spherical	spherical	ADJ
american_scientific_journal-3172	59	6	bouncing	bouncing	NOUN
american_scientific_journal-3172	59	7	is	be	AUX
american_scientific_journal-3172	59	8	in	in	ADP
american_scientific_journal-3172	59	9	a	a	DET
american_scientific_journal-3172	59	10	hadron	hadron	NOUN
american_scientific_journal-3172	59	11	,	,	PUNCT
american_scientific_journal-3172	59	12	let	let	VERB
american_scientific_journal-3172	59	13	's	us	PRON
american_scientific_journal-3172	59	14	take	take	VERB
american_scientific_journal-3172	59	15	an	an	DET
american_scientific_journal-3172	59	16	example	example	NOUN
american_scientific_journal-3172	59	17	,	,	PUNCT
american_scientific_journal-3172	59	18	the	the	DET
american_scientific_journal-3172	59	19	proton	proton	NOUN
american_scientific_journal-3172	59	20	is	be	AUX
american_scientific_journal-3172	59	21	made	make	VERB
american_scientific_journal-3172	59	22	of	of	ADP
american_scientific_journal-3172	59	23	three	three	NUM
american_scientific_journal-3172	59	24	quarks	quark	NOUN
american_scientific_journal-3172	59	25	;	;	PUNCT
american_scientific_journal-3172	59	26	two	two	NUM
american_scientific_journal-3172	59	27	up	up	ADJ
american_scientific_journal-3172	59	28	quarks	quark	NOUN
american_scientific_journal-3172	59	29	and	and	CCONJ
american_scientific_journal-3172	59	30	one	one	NUM
american_scientific_journal-3172	59	31	down	down	ADJ
american_scientific_journal-3172	59	32	quark	quark	NOUN
american_scientific_journal-3172	59	33	.	.	PUNCT
american_scientific_journal-3172	60	1	if	if	SCONJ
american_scientific_journal-3172	60	2	we	we	PRON
american_scientific_journal-3172	60	3	want	want	VERB
american_scientific_journal-3172	60	4	to	to	PART
american_scientific_journal-3172	60	5	put	put	VERB
american_scientific_journal-3172	60	6	three	three	NUM
american_scientific_journal-3172	60	7	identical	identical	ADJ
american_scientific_journal-3172	60	8	spheres	sphere	NOUN
american_scientific_journal-3172	60	9	in	in	ADP
american_scientific_journal-3172	60	10	one	one	NUM
american_scientific_journal-3172	60	11	sphere	sphere	NOUN
american_scientific_journal-3172	60	12	and	and	CCONJ
american_scientific_journal-3172	60	13	simulate	simulate	VERB
american_scientific_journal-3172	60	14	it	it	PRON
american_scientific_journal-3172	60	15	by	by	ADP
american_scientific_journal-3172	60	16	the	the	DET
american_scientific_journal-3172	60	17	geometry	geometry	NOUN
american_scientific_journal-3172	60	18	we	we	PRON
american_scientific_journal-3172	60	19	find	find	VERB
american_scientific_journal-3172	60	20	that	that	SCONJ
american_scientific_journal-3172	60	21	the	the	DET
american_scientific_journal-3172	60	22	radiuses	radius	NOUN
american_scientific_journal-3172	60	23	of	of	ADP
american_scientific_journal-3172	60	24	the	the	DET
american_scientific_journal-3172	60	25	three	three	NUM
american_scientific_journal-3172	60	26	spheres	sphere	NOUN
american_scientific_journal-3172	60	27	are	be	AUX
american_scientific_journal-3172	60	28	equal	equal	ADJ
american_scientific_journal-3172	60	29	to	to	ADP
american_scientific_journal-3172	60	30	half	half	DET
american_scientific_journal-3172	60	31	the	the	DET
american_scientific_journal-3172	60	32	radius	radius	NOUN
american_scientific_journal-3172	60	33	of	of	ADP
american_scientific_journal-3172	60	34	the	the	DET
american_scientific_journal-3172	60	35	proton	proton	NOUN
american_scientific_journal-3172	60	36	.	.	PUNCT
american_scientific_journal-3172	61	1	now	now	ADV
american_scientific_journal-3172	61	2	after	after	ADP
american_scientific_journal-3172	61	3	all	all	DET
american_scientific_journal-3172	61	4	the	the	DET
american_scientific_journal-3172	61	5	hypothesizes	hypothesize	NOUN
american_scientific_journal-3172	61	6	,	,	PUNCT
american_scientific_journal-3172	61	7	here	here	ADV
american_scientific_journal-3172	61	8	is	be	AUX
american_scientific_journal-3172	61	9	the	the	DET
american_scientific_journal-3172	61	10	abstract	abstract	ADJ
american_scientific_journal-3172	61	11	proof	proof	NOUN
american_scientific_journal-3172	61	12	of	of	ADP
american_scientific_journal-3172	61	13	all	all	DET
american_scientific_journal-3172	61	14	the	the	DET
american_scientific_journal-3172	61	15	above	above	ADJ
american_scientific_journal-3172	61	16	,	,	PUNCT
american_scientific_journal-3172	61	17	by	by	ADP
american_scientific_journal-3172	61	18	returning	return	VERB
american_scientific_journal-3172	61	19	to	to	ADP
american_scientific_journal-3172	61	20	the	the	DET
american_scientific_journal-3172	61	21	eq[3	eq[3	NOUN
american_scientific_journal-3172	61	22	]	]	PUNCT
american_scientific_journal-3172	61	23	we	we	PRON
american_scientific_journal-3172	61	24	find	find	VERB
american_scientific_journal-3172	61	25	that	that	PRON
american_scientific_journal-3172	61	26	:	:	PUNCT
american_scientific_journal-3172	61	27	𝑅𝑅𝑘𝑘	𝑅𝑅𝑘𝑘	PROPN
american_scientific_journal-3172	61	28	=	=	SYM
american_scientific_journal-3172	61	29	�	�	PROPN
american_scientific_journal-3172	61	30	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	61	31	�	�	NOUN
american_scientific_journal-3172	61	32	1	1	NUM
american_scientific_journal-3172	61	33	+	+	NUM
american_scientific_journal-3172	61	34	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	61	35	)	)	PUNCT
american_scientific_journal-3172	61	36	ℓp	ℓp	ADJ
american_scientific_journal-3172	61	37	+	+	NOUN
american_scientific_journal-3172	61	38	(	(	PUNCT
american_scientific_journal-3172	61	39	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	61	40	(	(	PUNCT
american_scientific_journal-3172	61	41	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	61	42	�	�	PROPN
american_scientific_journal-3172	61	43	4𝜋𝜋	4𝜋𝜋	PROPN
american_scientific_journal-3172	61	44	eq[11	eq[11	X
american_scientific_journal-3172	61	45	]	]	X
american_scientific_journal-3172	62	1	𝑅𝑅𝑘𝑘	𝑅𝑅𝑘𝑘	NOUN
american_scientific_journal-3172	62	2	=	=	SYM
american_scientific_journal-3172	62	3	ℓp	ℓp	NOUN
american_scientific_journal-3172	62	4	�	�	PROPN
american_scientific_journal-3172	62	5	�	�	NOUN
american_scientific_journal-3172	62	6	1	1	NUM
american_scientific_journal-3172	62	7	+	+	CCONJ
american_scientific_journal-3172	62	8	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	62	9	)	)	PUNCT
american_scientific_journal-3172	62	10	ℓp	ℓp	NOUN
american_scientific_journal-3172	62	11	+	+	CCONJ
american_scientific_journal-3172	62	12	(	(	PUNCT
american_scientific_journal-3172	62	13	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	62	14	(	(	PUNCT
american_scientific_journal-3172	62	15	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	62	16	�	�	PROPN
american_scientific_journal-3172	62	17	eq[12	eq[12	PROPN
american_scientific_journal-3172	62	18	]	]	PUNCT
american_scientific_journal-3172	62	19	and	and	CCONJ
american_scientific_journal-3172	62	20	actually	actually	ADV
american_scientific_journal-3172	62	21	rk	rk	NOUN
american_scientific_journal-3172	62	22	is	be	AUX
american_scientific_journal-3172	62	23	the	the	DET
american_scientific_journal-3172	62	24	distance	distance	NOUN
american_scientific_journal-3172	62	25	between	between	ADP
american_scientific_journal-3172	62	26	the	the	DET
american_scientific_journal-3172	62	27	original	original	ADJ
american_scientific_journal-3172	62	28	sphere	sphere	NOUN
american_scientific_journal-3172	62	29	center𝐴𝐴ℓp	center𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	62	30	to	to	ADP
american_scientific_journal-3172	62	31	any	any	DET
american_scientific_journal-3172	62	32	sphere	sphere	NOUN
american_scientific_journal-3172	62	33	with	with	ADP
american_scientific_journal-3172	62	34	the	the	DET
american_scientific_journal-3172	62	35	radius	radius	NOUN
american_scientific_journal-3172	62	36	of	of	ADP
american_scientific_journal-3172	62	37	rk	rk	NOUN
american_scientific_journal-3172	62	38	.	.	PUNCT
american_scientific_journal-3172	63	1	(	(	PUNCT
american_scientific_journal-3172	63	2	n	n	PROPN
american_scientific_journal-3172	63	3	+	+	CCONJ
american_scientific_journal-3172	63	4	kn	kn	PROPN
american_scientific_journal-3172	63	5	)	)	PUNCT
american_scientific_journal-3172	63	6	≡	≡	PROPN
american_scientific_journal-3172	63	7	(	(	PUNCT
american_scientific_journal-3172	63	8	ℓp	ℓp	NOUN
american_scientific_journal-3172	63	9	+	+	CCONJ
american_scientific_journal-3172	63	10	𝑘𝑘ℓp)≡	𝑘𝑘ℓp)≡	ADJ
american_scientific_journal-3172	63	11	𝑅𝑅𝑘𝑘	𝑅𝑅𝑘𝑘	PROPN
american_scientific_journal-3172	63	12	eq[13	eq[13	PROPN
american_scientific_journal-3172	64	1	and	and	CCONJ
american_scientific_journal-3172	64	2	we	we	PRON
american_scientific_journal-3172	64	3	can	can	AUX
american_scientific_journal-3172	64	4	actually	actually	ADV
american_scientific_journal-3172	64	5	rearrange	rearrange	VERB
american_scientific_journal-3172	64	6	the	the	DET
american_scientific_journal-3172	64	7	equations	equation	NOUN
american_scientific_journal-3172	64	8	from	from	ADP
american_scientific_journal-3172	64	9	eq[2	eq[2	PROPN
american_scientific_journal-3172	64	10	]	]	PUNCT
american_scientific_journal-3172	64	11	to	to	ADP
american_scientific_journal-3172	64	12	eq[5	eq[5	NOUN
american_scientific_journal-3172	64	13	]	]	PUNCT
american_scientific_journal-3172	64	14	by	by	ADP
american_scientific_journal-3172	64	15	the	the	DET
american_scientific_journal-3172	64	16	formula	formula	NOUN
american_scientific_journal-3172	64	17	:	:	PUNCT
american_scientific_journal-3172	64	18	𝐴𝐴𝐾𝐾	𝐴𝐴𝐾𝐾	PROPN
american_scientific_journal-3172	64	19	=	=	PUNCT
american_scientific_journal-3172	64	20	𝐴𝐴ℓp[1	𝐴𝐴ℓp[1	PROPN
american_scientific_journal-3172	64	21	+	+	CCONJ
american_scientific_journal-3172	64	22	2ℓp	2ℓp	ADJ
american_scientific_journal-3172	64	23	�	�	NOUN
american_scientific_journal-3172	64	24	�	�	NOUN
american_scientific_journal-3172	64	25	1	1	NUM
american_scientific_journal-3172	64	26	+	+	NOUN
american_scientific_journal-3172	64	27	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	64	28	)	)	PUNCT
american_scientific_journal-3172	64	29	ℓp	ℓp	ADJ
american_scientific_journal-3172	65	1	+	+	NOUN
american_scientific_journal-3172	65	2	(	(	PUNCT
american_scientific_journal-3172	65	3	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	65	4	(	(	PUNCT
american_scientific_journal-3172	65	5	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	65	6	�	�	PROPN
american_scientific_journal-3172	65	7	ℓp	ℓp	NOUN
american_scientific_journal-3172	65	8	+	+	CCONJ
american_scientific_journal-3172	65	9	ℓp	ℓp	NOUN
american_scientific_journal-3172	65	10	�	�	NOUN
american_scientific_journal-3172	65	11	�	�	NOUN
american_scientific_journal-3172	65	12	1	1	NUM
american_scientific_journal-3172	65	13	+	+	NOUN
american_scientific_journal-3172	65	14	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	65	15	)	)	PUNCT
american_scientific_journal-3172	65	16	ℓp	ℓp	ADJ
american_scientific_journal-3172	65	17	+	+	NOUN
american_scientific_journal-3172	65	18	(	(	PUNCT
american_scientific_journal-3172	65	19	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	65	20	(	(	PUNCT
american_scientific_journal-3172	65	21	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	65	22	�	�	PROPN
american_scientific_journal-3172	65	23	2	2	NUM
american_scientific_journal-3172	65	24	(	(	PUNCT
american_scientific_journal-3172	65	25	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	65	26	]	]	PUNCT
american_scientific_journal-3172	65	27	eq[14	eq[14	PROPN
american_scientific_journal-3172	65	28	]	]	PUNCT
american_scientific_journal-3172	65	29	and	and	CCONJ
american_scientific_journal-3172	65	30	now	now	ADV
american_scientific_journal-3172	65	31	,	,	PUNCT
american_scientific_journal-3172	65	32	the	the	DET
american_scientific_journal-3172	65	33	most	most	ADV
american_scientific_journal-3172	65	34	exciting	exciting	ADJ
american_scientific_journal-3172	65	35	part	part	NOUN
american_scientific_journal-3172	65	36	;	;	PUNCT
american_scientific_journal-3172	65	37	finding	find	VERB
american_scientific_journal-3172	65	38	the	the	DET
american_scientific_journal-3172	65	39	value	value	NOUN
american_scientific_journal-3172	65	40	of	of	ADP
american_scientific_journal-3172	65	41	the	the	DET
american_scientific_journal-3172	65	42	proton	proton	NOUN
american_scientific_journal-3172	65	43	's	's	PART
american_scientific_journal-3172	65	44	radius	radius	NOUN
american_scientific_journal-3172	65	45	by	by	ADP
american_scientific_journal-3172	65	46	using	use	VERB
american_scientific_journal-3172	65	47	the	the	DET
american_scientific_journal-3172	65	48	functions	function	NOUN
american_scientific_journal-3172	65	49	above	above	ADP
american_scientific_journal-3172	65	50	about	about	ADP
american_scientific_journal-3172	65	51	the	the	DET
american_scientific_journal-3172	65	52	circumferences	circumference	NOUN
american_scientific_journal-3172	65	53	or	or	CCONJ
american_scientific_journal-3172	65	54	the	the	DET
american_scientific_journal-3172	65	55	surface	surface	NOUN
american_scientific_journal-3172	65	56	areas	area	NOUN
american_scientific_journal-3172	65	57	of	of	ADP
american_scientific_journal-3172	65	58	the	the	DET
american_scientific_journal-3172	65	59	spheres	sphere	NOUN
american_scientific_journal-3172	65	60	sequences	sequence	NOUN
american_scientific_journal-3172	65	61	[	[	PUNCT
american_scientific_journal-3172	65	62	the	the	DET
american_scientific_journal-3172	65	63	bouncing	bounce	VERB
american_scientific_journal-3172	65	64	transform	transform	VERB
american_scientific_journal-3172	65	65	the	the	DET
american_scientific_journal-3172	65	66	energy	energy	NOUN
american_scientific_journal-3172	65	67	between	between	ADP
american_scientific_journal-3172	65	68	the	the	DET
american_scientific_journal-3172	65	69	supposed	suppose	VERB
american_scientific_journal-3172	65	70	states	state	NOUN
american_scientific_journal-3172	65	71	in	in	ADP
american_scientific_journal-3172	65	72	a	a	DET
american_scientific_journal-3172	65	73	spherical	spherical	ADJ
american_scientific_journal-3172	65	74	shape	shape	NOUN
american_scientific_journal-3172	65	75	]	]	PUNCT
american_scientific_journal-3172	65	76	.	.	PUNCT
american_scientific_journal-3172	66	1	as	as	SCONJ
american_scientific_journal-3172	66	2	we	we	PRON
american_scientific_journal-3172	66	3	said	say	VERB
american_scientific_journal-3172	66	4	the	the	DET
american_scientific_journal-3172	66	5	bouncing	bounce	VERB
american_scientific_journal-3172	66	6	bosons	boson	NOUN
american_scientific_journal-3172	66	7	reaches	reach	VERB
american_scientific_journal-3172	66	8	the	the	DET
american_scientific_journal-3172	66	9	highest	high	ADJ
american_scientific_journal-3172	66	10	energy	energy	NOUN
american_scientific_journal-3172	66	11	density	density	NOUN
american_scientific_journal-3172	66	12	states	state	NOUN
american_scientific_journal-3172	66	13	when	when	SCONJ
american_scientific_journal-3172	66	14	its	its	PRON
american_scientific_journal-3172	66	15	spherical	spherical	ADJ
american_scientific_journal-3172	66	16	shape	shape	NOUN
american_scientific_journal-3172	66	17	got	get	VERB
american_scientific_journal-3172	66	18	a	a	DET
american_scientific_journal-3172	66	19	radius	radius	NOUN
american_scientific_journal-3172	66	20	that	that	PRON
american_scientific_journal-3172	66	21	is	be	AUX
american_scientific_journal-3172	66	22	half	half	DET
american_scientific_journal-3172	66	23	the	the	DET
american_scientific_journal-3172	66	24	radius	radius	NOUN
american_scientific_journal-3172	66	25	of	of	ADP
american_scientific_journal-3172	66	26	the	the	DET
american_scientific_journal-3172	66	27	proton	proton	NOUN
american_scientific_journal-3172	66	28	,	,	PUNCT
american_scientific_journal-3172	66	29	so	so	ADV
american_scientific_journal-3172	66	30	:	:	PUNCT
american_scientific_journal-3172	66	31	american	american	ADJ
american_scientific_journal-3172	66	32	scientific	scientific	ADJ
american_scientific_journal-3172	66	33	research	research	PROPN
american_scientific_journal-3172	66	34	journal	journal	NOUN
american_scientific_journal-3172	66	35	for	for	ADP
american_scientific_journal-3172	66	36	engineering	engineering	NOUN
american_scientific_journal-3172	66	37	,	,	PUNCT
american_scientific_journal-3172	66	38	technology	technology	NOUN
american_scientific_journal-3172	66	39	,	,	PUNCT
american_scientific_journal-3172	66	40	and	and	CCONJ
american_scientific_journal-3172	66	41	sciences	science	NOUN
american_scientific_journal-3172	66	42	(	(	PUNCT
american_scientific_journal-3172	66	43	asrjets	asrjet	NOUN
american_scientific_journal-3172	66	44	)	)	PUNCT
american_scientific_journal-3172	66	45	(	(	PUNCT
american_scientific_journal-3172	66	46	2017	2017	NUM
american_scientific_journal-3172	66	47	)	)	PUNCT
american_scientific_journal-3172	66	48	volume	volume	NOUN
american_scientific_journal-3172	66	49	34	34	NUM
american_scientific_journal-3172	66	50	,	,	PUNCT
american_scientific_journal-3172	66	51	no	no	DET
american_scientific_journal-3172	66	52	1	1	NUM
american_scientific_journal-3172	66	53	,	,	PUNCT
american_scientific_journal-3172	66	54	pp	pp	ADV
american_scientific_journal-3172	66	55	114	114	NUM
american_scientific_journal-3172	66	56	-	-	SYM
american_scientific_journal-3172	66	57	122	122	NUM
american_scientific_journal-3172	66	58	119	119	NUM
american_scientific_journal-3172	66	59	rp	rp	NOUN
american_scientific_journal-3172	66	60	=	=	PUNCT
american_scientific_journal-3172	66	61	ℓp	ℓp	ADJ
american_scientific_journal-3172	66	62	�	�	PROPN
american_scientific_journal-3172	66	63	⎣	⎣	ADJ
american_scientific_journal-3172	66	64	⎢	⎢	NOUN
american_scientific_journal-3172	66	65	⎢	⎢	NOUN
american_scientific_journal-3172	66	66	⎡	⎡	NOUN
american_scientific_journal-3172	66	67	1	1	NUM
american_scientific_journal-3172	66	68	+	+	CCONJ
american_scientific_journal-3172	66	69	2ℓp	2ℓp	ADJ
american_scientific_journal-3172	66	70	�	�	NOUN
american_scientific_journal-3172	66	71	�	�	NOUN
american_scientific_journal-3172	66	72	1	1	NUM
american_scientific_journal-3172	66	73	+	+	NOUN
american_scientific_journal-3172	66	74	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	66	75	)	)	PUNCT
american_scientific_journal-3172	67	1	ℓp	ℓp	ADJ
american_scientific_journal-3172	67	2	+	+	NOUN
american_scientific_journal-3172	67	3	(	(	PUNCT
american_scientific_journal-3172	67	4	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	67	5	(	(	PUNCT
american_scientific_journal-3172	67	6	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	67	7	�	�	PROPN
american_scientific_journal-3172	67	8	ℓp	ℓp	ADJ
american_scientific_journal-3172	67	9	+	+	CCONJ
american_scientific_journal-3172	67	10	ℓp2	ℓp2	PROPN
american_scientific_journal-3172	67	11	�	�	PROPN
american_scientific_journal-3172	67	12	1	1	NUM
american_scientific_journal-3172	67	13	+	+	NOUN
american_scientific_journal-3172	67	14	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	67	15	)	)	PUNCT
american_scientific_journal-3172	67	16	ℓp	ℓp	ADJ
american_scientific_journal-3172	67	17	+	+	NOUN
american_scientific_journal-3172	67	18	(	(	PUNCT
american_scientific_journal-3172	67	19	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	67	20	(	(	PUNCT
american_scientific_journal-3172	67	21	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	67	22	�	�	PROPN
american_scientific_journal-3172	67	23	(	(	PUNCT
american_scientific_journal-3172	67	24	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	67	25	⎦	⎦	NUM
american_scientific_journal-3172	67	26	⎥	⎥	PROPN
american_scientific_journal-3172	67	27	⎥	⎥	PROPN
american_scientific_journal-3172	67	28	⎤	⎤	PROPN
american_scientific_journal-3172	67	29	eq	eq	PUNCT
american_scientific_journal-3172	68	1	[	[	X
american_scientific_journal-3172	68	2	15	15	NUM
american_scientific_journal-3172	68	3	]	]	X
american_scientific_journal-3172	68	4	rp	rp	NOUN
american_scientific_journal-3172	68	5	=	=	SYM
american_scientific_journal-3172	68	6	ℓp	ℓp	NOUN
american_scientific_journal-3172	68	7	�	�	PROPN
american_scientific_journal-3172	68	8	�	�	NOUN
american_scientific_journal-3172	68	9	2	2	NUM
american_scientific_journal-3172	68	10	+	+	SYM
american_scientific_journal-3172	68	11	2	2	NUM
american_scientific_journal-3172	68	12	�	�	NOUN
american_scientific_journal-3172	68	13	�	�	NOUN
american_scientific_journal-3172	68	14	1	1	NUM
american_scientific_journal-3172	68	15	+	+	NUM
american_scientific_journal-3172	68	16	2(ℓp	2(ℓp	NUM
american_scientific_journal-3172	68	17	+	+	CCONJ
american_scientific_journal-3172	68	18	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	68	19	)	)	PUNCT
american_scientific_journal-3172	69	1	ℓp	ℓp	NOUN
american_scientific_journal-3172	69	2	+	+	CCONJ
american_scientific_journal-3172	69	3	(	(	PUNCT
american_scientific_journal-3172	69	4	ℓp	ℓp	ADJ
american_scientific_journal-3172	69	5	+	+	NUM
american_scientific_journal-3172	69	6	𝑘𝑘ℓp)2	𝑘𝑘ℓp)2	NOUN
american_scientific_journal-3172	69	7	(	(	PUNCT
american_scientific_journal-3172	69	8	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	69	9	�	�	PROPN
american_scientific_journal-3172	69	10	+	+	NUM
american_scientific_journal-3172	69	11	2(ℓp	2(ℓp	NUM
american_scientific_journal-3172	69	12	+	+	CCONJ
american_scientific_journal-3172	69	13	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	69	14	)	)	PUNCT
american_scientific_journal-3172	69	15	ℓp	ℓp	NOUN
american_scientific_journal-3172	70	1	+	+	CCONJ
american_scientific_journal-3172	70	2	(	(	PUNCT
american_scientific_journal-3172	70	3	ℓp	ℓp	ADJ
american_scientific_journal-3172	70	4	+	+	NUM
american_scientific_journal-3172	70	5	𝑘𝑘ℓp)2	𝑘𝑘ℓp)2	NOUN
american_scientific_journal-3172	70	6	(	(	PUNCT
american_scientific_journal-3172	70	7	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	70	8	�	�	PROPN
american_scientific_journal-3172	70	9	when	when	SCONJ
american_scientific_journal-3172	70	10	we	we	PRON
american_scientific_journal-3172	70	11	graph	graph	VERB
american_scientific_journal-3172	70	12	this	this	DET
american_scientific_journal-3172	70	13	function	function	NOUN
american_scientific_journal-3172	70	14	we	we	PRON
american_scientific_journal-3172	70	15	find	find	VERB
american_scientific_journal-3172	70	16	that	that	SCONJ
american_scientific_journal-3172	71	1	when	when	SCONJ
american_scientific_journal-3172	71	2	k	k	PROPN
american_scientific_journal-3172	71	3	=	=	PUNCT
american_scientific_journal-3172	71	4	5.430458	5.430458	NUM
american_scientific_journal-3172	71	5	*	*	SYM
american_scientific_journal-3172	71	6	10	10	NUM
american_scientific_journal-3172	71	7	^	^	SYM
american_scientific_journal-3172	71	8	19	19	NUM
american_scientific_journal-3172	71	9	rp	rp	NOUN
american_scientific_journal-3172	71	10	=	=	NOUN
american_scientific_journal-3172	71	11	8.77562	8.77562	NUM
american_scientific_journal-3172	71	12	*	*	SYM
american_scientific_journal-3172	71	13	10	10	NUM
american_scientific_journal-3172	71	14	^	^	NUM
american_scientific_journal-3172	71	15	-16	-16	NUM
american_scientific_journal-3172	71	16	and	and	CCONJ
american_scientific_journal-3172	71	17	8.77562	8.77562	NUM
american_scientific_journal-3172	71	18	*	*	SYM
american_scientific_journal-3172	71	19	10	10	NUM
american_scientific_journal-3172	71	20	^	^	SYM
american_scientific_journal-3172	71	21	-16/1.616	-16/1.616	NOUN
american_scientific_journal-3172	71	22	*	*	NOUN
american_scientific_journal-3172	71	23	10	10	NUM
american_scientific_journal-3172	71	24	^	^	NUM
american_scientific_journal-3172	71	25	-35	-35	PUNCT
american_scientific_journal-3172	71	26	=	=	PUNCT
american_scientific_journal-3172	72	1	5.43007	5.43007	NUM
american_scientific_journal-3172	72	2	*	*	SYM
american_scientific_journal-3172	72	3	10	10	NUM
american_scientific_journal-3172	72	4	^	^	SYM
american_scientific_journal-3172	72	5	19	19	NUM
american_scientific_journal-3172	72	6	that	that	PRON
american_scientific_journal-3172	72	7	’s	’	VERB
american_scientific_journal-3172	72	8	mean	mean	VERB
american_scientific_journal-3172	72	9	the	the	DET
american_scientific_journal-3172	72	10	equation	equation	NOUN
american_scientific_journal-3172	72	11	above	above	ADV
american_scientific_journal-3172	72	12	is	be	AUX
american_scientific_journal-3172	72	13	a	a	DET
american_scientific_journal-3172	72	14	function	function	NOUN
american_scientific_journal-3172	72	15	describes	describe	VERB
american_scientific_journal-3172	72	16	the	the	DET
american_scientific_journal-3172	72	17	distance	distance	NOUN
american_scientific_journal-3172	72	18	that	that	SCONJ
american_scientific_journal-3172	72	19	the	the	DET
american_scientific_journal-3172	72	20	bouncing	bounce	VERB
american_scientific_journal-3172	72	21	higgs	higgs	NOUN
american_scientific_journal-3172	72	22	bosons	boson	NOUN
american_scientific_journal-3172	72	23	moving	move	VERB
american_scientific_journal-3172	72	24	in	in	ADP
american_scientific_journal-3172	72	25	the	the	DET
american_scientific_journal-3172	72	26	spacetime	spacetime	NOUN
american_scientific_journal-3172	72	27	and	and	CCONJ
american_scientific_journal-3172	72	28	attracting	attract	VERB
american_scientific_journal-3172	72	29	with	with	ADP
american_scientific_journal-3172	72	30	the	the	DET
american_scientific_journal-3172	72	31	others	others	PROPN
american_scientific_journal-3172	72	32	higgs	higgs	PROPN
american_scientific_journal-3172	72	33	boson	boson	PROPN
american_scientific_journal-3172	72	34	,	,	PUNCT
american_scientific_journal-3172	72	35	this	this	DET
american_scientific_journal-3172	72	36	function	function	NOUN
american_scientific_journal-3172	72	37	prove	prove	VERB
american_scientific_journal-3172	72	38	that	that	SCONJ
american_scientific_journal-3172	72	39	the	the	DET
american_scientific_journal-3172	72	40	proton	proton	NOUN
american_scientific_journal-3172	72	41	is	be	AUX
american_scientific_journal-3172	72	42	just	just	ADV
american_scientific_journal-3172	72	43	a	a	DET
american_scientific_journal-3172	72	44	continuous	continuous	ADJ
american_scientific_journal-3172	72	45	higgs	higgs	NOUN
american_scientific_journal-3172	72	46	field	field	NOUN
american_scientific_journal-3172	72	47	spherical	spherical	ADJ
american_scientific_journal-3172	72	48	waves	wave	NOUN
american_scientific_journal-3172	72	49	that	that	PRON
american_scientific_journal-3172	72	50	emitted	emit	VERB
american_scientific_journal-3172	72	51	by	by	ADP
american_scientific_journal-3172	72	52	the	the	DET
american_scientific_journal-3172	72	53	spinning	spinning	NOUN
american_scientific_journal-3172	72	54	of	of	ADP
american_scientific_journal-3172	72	55	its	its	PRON
american_scientific_journal-3172	72	56	structure	structure	NOUN
american_scientific_journal-3172	72	57	particles	particle	NOUN
american_scientific_journal-3172	72	58	;	;	PUNCT
american_scientific_journal-3172	72	59	which	which	PRON
american_scientific_journal-3172	72	60	are	be	AUX
american_scientific_journal-3172	72	61	the	the	DET
american_scientific_journal-3172	72	62	quarks	quark	NOUN
american_scientific_journal-3172	72	63	.	.	PUNCT
american_scientific_journal-3172	73	1	since	since	SCONJ
american_scientific_journal-3172	73	2	the	the	DET
american_scientific_journal-3172	73	3	gluons	gluon	NOUN
american_scientific_journal-3172	73	4	does	do	AUX
american_scientific_journal-3172	73	5	n’t	not	PART
american_scientific_journal-3172	73	6	attract	attract	VERB
american_scientific_journal-3172	73	7	with	with	ADP
american_scientific_journal-3172	73	8	the	the	DET
american_scientific_journal-3172	73	9	higgs	higgs	NOUN
american_scientific_journal-3172	73	10	field	field	NOUN
american_scientific_journal-3172	73	11	.	.	PUNCT
american_scientific_journal-3172	74	1	and	and	CCONJ
american_scientific_journal-3172	74	2	this	this	DET
american_scientific_journal-3172	74	3	idea	idea	NOUN
american_scientific_journal-3172	74	4	is	be	AUX
american_scientific_journal-3172	74	5	also	also	ADV
american_scientific_journal-3172	74	6	explain	explain	VERB
american_scientific_journal-3172	74	7	the	the	DET
american_scientific_journal-3172	74	8	proton	proton	NOUN
american_scientific_journal-3172	74	9	's	's	PART
american_scientific_journal-3172	74	10	mass	mass	NOUN
american_scientific_journal-3172	74	11	and	and	CCONJ
american_scientific_journal-3172	74	12	spin	spin	VERB
american_scientific_journal-3172	74	13	because	because	SCONJ
american_scientific_journal-3172	74	14	these	these	DET
american_scientific_journal-3172	74	15	spherical	spherical	ADJ
american_scientific_journal-3172	74	16	waves	wave	NOUN
american_scientific_journal-3172	74	17	duo	duo	VERB
american_scientific_journal-3172	74	18	to	to	ADP
american_scientific_journal-3172	74	19	the	the	DET
american_scientific_journal-3172	74	20	spinning	spinning	NOUN
american_scientific_journal-3172	74	21	of	of	ADP
american_scientific_journal-3172	74	22	the	the	DET
american_scientific_journal-3172	74	23	quarks	quarks	NOUN
american_scientific_journal-3172	74	24	so	so	SCONJ
american_scientific_journal-3172	74	25	its	its	PRON
american_scientific_journal-3172	74	26	got	get	VERB
american_scientific_journal-3172	74	27	a	a	DET
american_scientific_journal-3172	74	28	rotation	rotation	NOUN
american_scientific_journal-3172	74	29	,	,	PUNCT
american_scientific_journal-3172	74	30	furthermore	furthermore	ADV
american_scientific_journal-3172	74	31	,	,	PUNCT
american_scientific_journal-3172	74	32	it	it	PRON
american_scientific_journal-3172	74	33	might	might	AUX
american_scientific_journal-3172	74	34	be	be	AUX
american_scientific_journal-3172	74	35	crazy	crazy	ADJ
american_scientific_journal-3172	74	36	idea	idea	NOUN
american_scientific_journal-3172	74	37	but	but	CCONJ
american_scientific_journal-3172	74	38	its	its	PRON
american_scientific_journal-3172	74	39	also	also	ADV
american_scientific_journal-3172	74	40	describes	describe	VERB
american_scientific_journal-3172	74	41	the	the	DET
american_scientific_journal-3172	74	42	radius	radius	NOUN
american_scientific_journal-3172	74	43	of	of	ADP
american_scientific_journal-3172	74	44	the	the	DET
american_scientific_journal-3172	74	45	proton	proton	NOUN
american_scientific_journal-3172	74	46	and	and	CCONJ
american_scientific_journal-3172	74	47	its	its	PRON
american_scientific_journal-3172	74	48	not	not	PART
american_scientific_journal-3172	74	49	invariant	invariant	ADJ
american_scientific_journal-3172	74	50	but	but	CCONJ
american_scientific_journal-3172	74	51	change	change	NOUN
american_scientific_journal-3172	74	52	according	accord	VERB
american_scientific_journal-3172	74	53	the	the	DET
american_scientific_journal-3172	74	54	function	function	NOUN
american_scientific_journal-3172	74	55	above	above	ADV
american_scientific_journal-3172	74	56	.	.	PUNCT
american_scientific_journal-3172	75	1	i	i	PRON
american_scientific_journal-3172	75	2	think	think	VERB
american_scientific_journal-3172	75	3	this	this	PRON
american_scientific_journal-3172	75	4	is	be	AUX
american_scientific_journal-3172	75	5	the	the	DET
american_scientific_journal-3172	75	6	best	good	ADJ
american_scientific_journal-3172	75	7	physical	physical	ADJ
american_scientific_journal-3172	75	8	explanation	explanation	NOUN
american_scientific_journal-3172	75	9	for	for	ADP
american_scientific_journal-3172	75	10	the	the	DET
american_scientific_journal-3172	75	11	function	function	NOUN
american_scientific_journal-3172	75	12	which	which	PRON
american_scientific_journal-3172	75	13	matching	match	VERB
american_scientific_journal-3172	75	14	the	the	DET
american_scientific_journal-3172	75	15	reality	reality	NOUN
american_scientific_journal-3172	75	16	.	.	PUNCT
american_scientific_journal-3172	76	1	now	now	ADV
american_scientific_journal-3172	76	2	,	,	PUNCT
american_scientific_journal-3172	76	3	we	we	PRON
american_scientific_journal-3172	76	4	should	should	AUX
american_scientific_journal-3172	76	5	continue	continue	VERB
american_scientific_journal-3172	76	6	to	to	PART
american_scientific_journal-3172	76	7	model	model	VERB
american_scientific_journal-3172	76	8	the	the	DET
american_scientific_journal-3172	76	9	whole	whole	ADJ
american_scientific_journal-3172	76	10	idea	idea	NOUN
american_scientific_journal-3172	76	11	by	by	ADP
american_scientific_journal-3172	76	12	the	the	DET
american_scientific_journal-3172	76	13	mathematics	mathematic	NOUN
american_scientific_journal-3172	76	14	.	.	PUNCT
american_scientific_journal-3172	77	1	as	as	SCONJ
american_scientific_journal-3172	77	2	we	we	PRON
american_scientific_journal-3172	77	3	say	say	VERB
american_scientific_journal-3172	77	4	,	,	PUNCT
american_scientific_journal-3172	77	5	the	the	DET
american_scientific_journal-3172	77	6	spherical	spherical	ADJ
american_scientific_journal-3172	77	7	shape	shape	NOUN
american_scientific_journal-3172	77	8	of	of	ADP
american_scientific_journal-3172	77	9	the	the	DET
american_scientific_journal-3172	77	10	bouncing	bouncing	NOUN
american_scientific_journal-3172	77	11	is	be	AUX
american_scientific_journal-3172	77	12	identical	identical	ADJ
american_scientific_journal-3172	77	13	of	of	ADP
american_scientific_journal-3172	77	14	all	all	DET
american_scientific_journal-3172	77	15	the	the	DET
american_scientific_journal-3172	77	16	three	three	NUM
american_scientific_journal-3172	77	17	quarks	quark	NOUN
american_scientific_journal-3172	77	18	when	when	SCONJ
american_scientific_journal-3172	77	19	its	its	PRON
american_scientific_journal-3172	77	20	radius	radius	NOUN
american_scientific_journal-3172	77	21	reach	reach	VERB
american_scientific_journal-3172	77	22	half	half	DET
american_scientific_journal-3172	77	23	the	the	DET
american_scientific_journal-3172	77	24	radius	radius	NOUN
american_scientific_journal-3172	77	25	of	of	ADP
american_scientific_journal-3172	77	26	the	the	DET
american_scientific_journal-3172	77	27	proton	proton	NOUN
american_scientific_journal-3172	77	28	,	,	PUNCT
american_scientific_journal-3172	77	29	we	we	PRON
american_scientific_journal-3172	77	30	do	do	AUX
american_scientific_journal-3172	77	31	n’t	not	PART
american_scientific_journal-3172	77	32	actually	actually	ADV
american_scientific_journal-3172	77	33	know	know	VERB
american_scientific_journal-3172	77	34	the	the	DET
american_scientific_journal-3172	77	35	position	position	NOUN
american_scientific_journal-3172	77	36	of	of	ADP
american_scientific_journal-3172	77	37	the	the	DET
american_scientific_journal-3172	77	38	three	three	NUM
american_scientific_journal-3172	77	39	quarks	quark	NOUN
american_scientific_journal-3172	77	40	exactly	exactly	ADV
american_scientific_journal-3172	77	41	,	,	PUNCT
american_scientific_journal-3172	77	42	we	we	PRON
american_scientific_journal-3172	77	43	just	just	ADV
american_scientific_journal-3172	77	44	sure	sure	ADJ
american_scientific_journal-3172	77	45	about	about	ADP
american_scientific_journal-3172	77	46	their	their	PRON
american_scientific_journal-3172	77	47	bouncing	bounce	VERB
american_scientific_journal-3172	77	48	higgs	higgs	NOUN
american_scientific_journal-3172	77	49	bosons	boson	NOUN
american_scientific_journal-3172	77	50	spherical	spherical	ADJ
american_scientific_journal-3172	77	51	shapes	shape	NOUN
american_scientific_journal-3172	77	52	.	.	PUNCT
american_scientific_journal-3172	78	1	the	the	DET
american_scientific_journal-3172	78	2	three	three	NUM
american_scientific_journal-3172	78	3	identical	identical	ADJ
american_scientific_journal-3172	78	4	spheres	sphere	NOUN
american_scientific_journal-3172	78	5	are	be	AUX
american_scientific_journal-3172	78	6	actually	actually	ADV
american_scientific_journal-3172	78	7	does	do	VERB
american_scientific_journal-3172	78	8	n’t	not	PART
american_scientific_journal-3172	78	9	full	full	VERB
american_scientific_journal-3172	78	10	the	the	DET
american_scientific_journal-3172	78	11	protons	proton	NOUN
american_scientific_journal-3172	78	12	volume	volume	NOUN
american_scientific_journal-3172	78	13	.	.	PUNCT
american_scientific_journal-3172	79	1	approximately	approximately	ADV
american_scientific_journal-3172	79	2	the	the	DET
american_scientific_journal-3172	79	3	three	three	NUM
american_scientific_journal-3172	79	4	empty	empty	ADJ
american_scientific_journal-3172	79	5	volumes	volume	NOUN
american_scientific_journal-3172	79	6	in	in	ADP
american_scientific_journal-3172	79	7	the	the	DET
american_scientific_journal-3172	79	8	proton	proton	NOUN
american_scientific_journal-3172	79	9	faces	face	VERB
american_scientific_journal-3172	79	10	the	the	DET
american_scientific_journal-3172	79	11	quarter	quarter	NOUN
american_scientific_journal-3172	79	12	of	of	ADP
american_scientific_journal-3172	79	13	the	the	DET
american_scientific_journal-3172	79	14	surface	surface	NOUN
american_scientific_journal-3172	79	15	areas	area	NOUN
american_scientific_journal-3172	79	16	of	of	ADP
american_scientific_journal-3172	79	17	two	two	NUM
american_scientific_journal-3172	79	18	spheres	sphere	NOUN
american_scientific_journal-3172	79	19	.	.	PUNCT
american_scientific_journal-3172	79	20	.	.	PUNCT
american_scientific_journal-3172	80	1	since	since	SCONJ
american_scientific_journal-3172	80	2	the	the	DET
american_scientific_journal-3172	80	3	bosons	boson	NOUN
american_scientific_journal-3172	80	4	are	be	AUX
american_scientific_journal-3172	80	5	keep	keep	VERB
american_scientific_journal-3172	80	6	bouncing	bounce	VERB
american_scientific_journal-3172	80	7	,	,	PUNCT
american_scientific_journal-3172	80	8	two	two	NUM
american_scientific_journal-3172	80	9	bosons	boson	NOUN
american_scientific_journal-3172	80	10	will	will	AUX
american_scientific_journal-3172	80	11	confluence	confluence	VERB
american_scientific_journal-3172	80	12	and	and	CCONJ
american_scientific_journal-3172	80	13	they	they	PRON
american_scientific_journal-3172	80	14	will	will	AUX
american_scientific_journal-3172	80	15	push	push	VERB
american_scientific_journal-3172	80	16	by	by	ADP
american_scientific_journal-3172	80	17	their	their	PRON
american_scientific_journal-3172	80	18	resultant	resultant	NOUN
american_scientific_journal-3172	80	19	energy	energy	NOUN
american_scientific_journal-3172	80	20	in	in	ADP
american_scientific_journal-3172	80	21	all	all	DET
american_scientific_journal-3172	80	22	the	the	DET
american_scientific_journal-3172	80	23	directions	direction	NOUN
american_scientific_journal-3172	80	24	to	to	ADP
american_scientific_journal-3172	80	25	the	the	DET
american_scientific_journal-3172	80	26	empty	empty	ADJ
american_scientific_journal-3172	80	27	volume	volume	NOUN
american_scientific_journal-3172	80	28	of	of	ADP
american_scientific_journal-3172	80	29	the	the	DET
american_scientific_journal-3172	80	30	proton	proton	NOUN
american_scientific_journal-3172	80	31	𝑐𝑐𝑠𝑠ℎ𝑒𝑒𝑒𝑒𝑒𝑒	𝑐𝑐𝑠𝑠ℎ𝑒𝑒𝑒𝑒𝑒𝑒	PROPN
american_scientific_journal-3172	80	32	𝑎𝑎𝑛𝑛𝑎𝑎	𝑎𝑎𝑛𝑛𝑎𝑎	ADJ
american_scientific_journal-3172	80	33	𝑓𝑓𝑓𝑓𝑓𝑓𝑓𝑓	𝑓𝑓𝑓𝑓𝑓𝑓𝑓𝑓	PROPN
american_scientific_journal-3172	80	34	𝑓𝑓𝑡𝑡.	𝑓𝑓𝑡𝑡.	NOUN
american_scientific_journal-3172	80	35	the	the	DET
american_scientific_journal-3172	80	36	black	black	ADJ
american_scientific_journal-3172	80	37	vector	vector	NOUN
american_scientific_journal-3172	80	38	is	be	AUX
american_scientific_journal-3172	80	39	equals	equal	VERB
american_scientific_journal-3172	80	40	to	to	ADP
american_scientific_journal-3172	80	41	the	the	DET
american_scientific_journal-3172	80	42	total	total	ADJ
american_scientific_journal-3172	80	43	energy	energy	NOUN
american_scientific_journal-3172	80	44	resultant	resultant	NOUN
american_scientific_journal-3172	80	45	and	and	CCONJ
american_scientific_journal-3172	80	46	it	it	PRON
american_scientific_journal-3172	80	47	’s	’	VERB
american_scientific_journal-3172	80	48	the	the	DET
american_scientific_journal-3172	80	49	sum	sum	NOUN
american_scientific_journal-3172	80	50	of	of	ADP
american_scientific_journal-3172	80	51	all	all	DET
american_scientific_journal-3172	80	52	the	the	DET
american_scientific_journal-3172	80	53	energy	energy	NOUN
american_scientific_journal-3172	80	54	resultants	resultant	NOUN
american_scientific_journal-3172	80	55	of	of	ADP
american_scientific_journal-3172	80	56	the	the	DET
american_scientific_journal-3172	80	57	bouncing	bounce	VERB
american_scientific_journal-3172	80	58	higgs	higgs	NOUN
american_scientific_journal-3172	80	59	bosons	boson	NOUN
american_scientific_journal-3172	80	60	in	in	ADP
american_scientific_journal-3172	80	61	the	the	DET
american_scientific_journal-3172	80	62	empty	empty	ADJ
american_scientific_journal-3172	80	63	volume	volume	NOUN
american_scientific_journal-3172	80	64	space	space	NOUN
american_scientific_journal-3172	80	65	in	in	ADP
american_scientific_journal-3172	80	66	the	the	DET
american_scientific_journal-3172	80	67	proton	proton	NOUN
american_scientific_journal-3172	80	68	.	.	PUNCT
american_scientific_journal-3172	81	1	all	all	DET
american_scientific_journal-3172	81	2	the	the	DET
american_scientific_journal-3172	81	3	three	three	NUM
american_scientific_journal-3172	81	4	vectors	vector	NOUN
american_scientific_journal-3172	81	5	can	can	AUX
american_scientific_journal-3172	81	6	be	be	AUX
american_scientific_journal-3172	81	7	described	describe	VERB
american_scientific_journal-3172	81	8	mathematically	mathematically	ADV
american_scientific_journal-3172	81	9	as	as	ADP
american_scientific_journal-3172	81	10	:	:	PUNCT
american_scientific_journal-3172	81	11	∑	∑	PROPN
american_scientific_journal-3172	81	12	∏	∏	PROPN
american_scientific_journal-3172	81	13	∆𝐾𝐾	∆𝐾𝐾	PROPN
american_scientific_journal-3172	81	14	°	°	PROPN
american_scientific_journal-3172	81	15	∆𝐸𝐸	∆𝐸𝐸	PROPN
american_scientific_journal-3172	81	16	°	°	PROPN
american_scientific_journal-3172	81	17	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	VERB
american_scientific_journal-3172	81	18	𝑘𝑘2=𝜋𝜋−𝜃𝜃	𝑘𝑘2=𝜋𝜋−𝜃𝜃	PROPN
american_scientific_journal-3172	81	19	𝑘𝑘2=0	𝑘𝑘2=0	PUNCT
american_scientific_journal-3172	81	20	|e|𝑛𝑛	|e|𝑛𝑛	PUNCT
american_scientific_journal-3172	81	21	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-3172	81	22	°	°	PROPN
american_scientific_journal-3172	81	23	cos	cos	X
american_scientific_journal-3172	82	1	[	[	X
american_scientific_journal-3172	82	2	𝜃𝜃+𝑘𝑘2	𝜃𝜃+𝑘𝑘2	NOUN
american_scientific_journal-3172	82	3	]	]	X
american_scientific_journal-3172	82	4	𝑐𝑐𝑐𝑐𝑐𝑐𝜃𝜃	𝑐𝑐𝑐𝑐𝑐𝑐𝜃𝜃	NOUN
american_scientific_journal-3172	82	5	∑	∑	PUNCT
american_scientific_journal-3172	82	6	6π	6π	NUM
american_scientific_journal-3172	82	7	�	�	PROPN
american_scientific_journal-3172	82	8	𝐴𝐴ℓp	𝐴𝐴ℓp	NOUN
american_scientific_journal-3172	82	9	�	�	NOUN
american_scientific_journal-3172	82	10	1	1	NUM
american_scientific_journal-3172	82	11	+	+	NUM
american_scientific_journal-3172	82	12	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	82	13	)	)	PUNCT
american_scientific_journal-3172	82	14	ℓp	ℓp	ADJ
american_scientific_journal-3172	82	15	+	+	NOUN
american_scientific_journal-3172	82	16	(	(	PUNCT
american_scientific_journal-3172	82	17	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	82	18	(	(	PUNCT
american_scientific_journal-3172	82	19	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	82	20	�	�	PROPN
american_scientific_journal-3172	82	21	𝜋𝜋	𝜋𝜋	PROPN
american_scientific_journal-3172	82	22	𝑘𝑘∞	𝑘𝑘∞	PROPN
american_scientific_journal-3172	82	23	𝑘𝑘=0	𝑘𝑘=0	PROPN
american_scientific_journal-3172	82	24	eq[16	eq[16	PROPN
american_scientific_journal-3172	82	25	]	]	X
american_scientific_journal-3172	82	26	the	the	DET
american_scientific_journal-3172	82	27	term	term	NOUN
american_scientific_journal-3172	82	28	∏	∏	PROPN
american_scientific_journal-3172	82	29	∆𝐾𝐾	∆𝐾𝐾	PROPN
american_scientific_journal-3172	82	30	°	°	PROPN
american_scientific_journal-3172	82	31	∆𝐸𝐸	∆𝐸𝐸	PROPN
american_scientific_journal-3172	82	32	°	°	PROPN
american_scientific_journal-3172	82	33	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	VERB
american_scientific_journal-3172	82	34	|e|𝑛𝑛	|e|𝑛𝑛	NOUN
american_scientific_journal-3172	82	35	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-3172	82	36	°	°	NOUN
american_scientific_journal-3172	82	37	is	be	AUX
american_scientific_journal-3172	82	38	actually	actually	ADV
american_scientific_journal-3172	82	39	sequence	sequence	NOUN
american_scientific_journal-3172	82	40	of	of	ADP
american_scientific_journal-3172	82	41	the	the	DET
american_scientific_journal-3172	82	42	different	different	ADJ
american_scientific_journal-3172	82	43	transformer	transformer	NOUN
american_scientific_journal-3172	82	44	energies	energy	NOUN
american_scientific_journal-3172	82	45	between	between	ADP
american_scientific_journal-3172	82	46	the	the	DET
american_scientific_journal-3172	82	47	energy	energy	NOUN
american_scientific_journal-3172	82	48	american	american	PROPN
american_scientific_journal-3172	82	49	scientific	scientific	ADJ
american_scientific_journal-3172	82	50	research	research	NOUN
american_scientific_journal-3172	82	51	journal	journal	NOUN
american_scientific_journal-3172	82	52	for	for	ADP
american_scientific_journal-3172	82	53	engineering	engineering	NOUN
american_scientific_journal-3172	82	54	,	,	PUNCT
american_scientific_journal-3172	82	55	technology	technology	NOUN
american_scientific_journal-3172	82	56	,	,	PUNCT
american_scientific_journal-3172	82	57	and	and	CCONJ
american_scientific_journal-3172	82	58	sciences	science	NOUN
american_scientific_journal-3172	82	59	(	(	PUNCT
american_scientific_journal-3172	82	60	asrjets	asrjet	NOUN
american_scientific_journal-3172	82	61	)	)	PUNCT
american_scientific_journal-3172	82	62	(	(	PUNCT
american_scientific_journal-3172	82	63	2017	2017	NUM
american_scientific_journal-3172	82	64	)	)	PUNCT
american_scientific_journal-3172	82	65	volume	volume	NOUN
american_scientific_journal-3172	82	66	34	34	NUM
american_scientific_journal-3172	82	67	,	,	PUNCT
american_scientific_journal-3172	82	68	no	no	DET
american_scientific_journal-3172	82	69	1	1	NUM
american_scientific_journal-3172	82	70	,	,	PUNCT
american_scientific_journal-3172	82	71	pp	pp	ADV
american_scientific_journal-3172	82	72	114	114	NUM
american_scientific_journal-3172	82	73	-	-	SYM
american_scientific_journal-3172	82	74	122	122	NUM
american_scientific_journal-3172	82	75	120	120	NUM
american_scientific_journal-3172	82	76	density	density	NOUN
american_scientific_journal-3172	82	77	state	state	NOUN
american_scientific_journal-3172	82	78	using	use	VERB
american_scientific_journal-3172	82	79	a	a	DET
american_scientific_journal-3172	82	80	ratio	ratio	NOUN
american_scientific_journal-3172	82	81	between	between	ADP
american_scientific_journal-3172	82	82	every	every	DET
american_scientific_journal-3172	82	83	two	two	NUM
american_scientific_journal-3172	82	84	continuous	continuous	ADJ
american_scientific_journal-3172	82	85	states	state	NOUN
american_scientific_journal-3172	82	86	until	until	ADP
american_scientific_journal-3172	82	87	the	the	DET
american_scientific_journal-3172	82	88	last	last	ADJ
american_scientific_journal-3172	82	89	one	one	NUM
american_scientific_journal-3172	82	90	.	.	PUNCT
american_scientific_journal-3172	83	1	figure	figure	NOUN
american_scientific_journal-3172	83	2	1	1	NUM
american_scientific_journal-3172	83	3	now	now	ADV
american_scientific_journal-3172	83	4	,	,	PUNCT
american_scientific_journal-3172	83	5	we	we	PRON
american_scientific_journal-3172	83	6	are	be	AUX
american_scientific_journal-3172	83	7	finally	finally	ADV
american_scientific_journal-3172	83	8	got	get	VERB
american_scientific_journal-3172	83	9	the	the	DET
american_scientific_journal-3172	83	10	formula	formula	NOUN
american_scientific_journal-3172	83	11	of	of	ADP
american_scientific_journal-3172	83	12	the	the	DET
american_scientific_journal-3172	83	13	proton	proton	NOUN
american_scientific_journal-3172	83	14	total	total	NOUN
american_scientific_journal-3172	83	15	energy	energy	NOUN
american_scientific_journal-3172	83	16	(	(	PUNCT
american_scientific_journal-3172	83	17	mass	mass	PROPN
american_scientific_journal-3172	83	18	)	)	PUNCT
american_scientific_journal-3172	83	19	using	use	VERB
american_scientific_journal-3172	83	20	the	the	DET
american_scientific_journal-3172	83	21	equations	equation	NOUN
american_scientific_journal-3172	83	22	[	[	X
american_scientific_journal-3172	83	23	9	9	NUM
american_scientific_journal-3172	83	24	]	]	PUNCT
american_scientific_journal-3172	83	25	and	and	CCONJ
american_scientific_journal-3172	83	26	[	[	X
american_scientific_journal-3172	83	27	15	15	NUM
american_scientific_journal-3172	83	28	]	]	PUNCT
american_scientific_journal-3172	83	29	:	:	PUNCT
american_scientific_journal-3172	83	30	𝑃𝑃𝑚𝑚	𝑃𝑃𝑚𝑚	PROPN
american_scientific_journal-3172	83	31	=	=	SYM
american_scientific_journal-3172	83	32	�	�	PROPN
american_scientific_journal-3172	83	33	∑	∑	PROPN
american_scientific_journal-3172	83	34	𝑆𝑆𝐸𝐸2	𝑆𝑆𝐸𝐸2	PROPN
american_scientific_journal-3172	83	35	+	+	PROPN
american_scientific_journal-3172	83	36	𝐾𝐾𝐾𝐾𝑞𝑞2	𝐾𝐾𝐾𝐾𝑞𝑞2	PROPN
american_scientific_journal-3172	83	37	−	−	X
american_scientific_journal-3172	83	38	2|𝑆𝑆𝐸𝐸2𝜋𝜋	2|𝑆𝑆𝐸𝐸2𝜋𝜋	NUM
american_scientific_journal-3172	83	39	0	0	NUM
american_scientific_journal-3172	83	40	�	�	PROPN
american_scientific_journal-3172	83	41	�	�	PROPN
american_scientific_journal-3172	83	42	𝐾𝐾𝐾𝐾𝑞𝑞	𝐾𝐾𝐾𝐾𝑞𝑞	NOUN
american_scientific_journal-3172	83	43	�	�	NOUN
american_scientific_journal-3172	83	44	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	PROPN
american_scientific_journal-3172	83	45	�	�	PROPN
american_scientific_journal-3172	83	46	�	�	PROPN
american_scientific_journal-3172	83	47	∑	∑	PROPN
american_scientific_journal-3172	83	48	π	π	PROPN
american_scientific_journal-3172	83	49	�	�	PROPN
american_scientific_journal-3172	83	50	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	83	51	�	�	PROPN
american_scientific_journal-3172	83	52	1	1	NUM
american_scientific_journal-3172	83	53	+	+	NUM
american_scientific_journal-3172	83	54	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	83	55	)	)	PUNCT
american_scientific_journal-3172	83	56	ℓp	ℓp	ADJ
american_scientific_journal-3172	83	57	+	+	NOUN
american_scientific_journal-3172	83	58	(	(	PUNCT
american_scientific_journal-3172	83	59	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	83	60	(	(	PUNCT
american_scientific_journal-3172	83	61	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	83	62	�	�	PROPN
american_scientific_journal-3172	83	63	𝜋𝜋	𝜋𝜋	ADP
american_scientific_journal-3172	83	64	𝑘𝑘2	𝑘𝑘2	PROPN
american_scientific_journal-3172	83	65	𝑘𝑘=0	𝑘𝑘=0	PROPN
american_scientific_journal-3172	83	66	�	�	PROPN
american_scientific_journal-3172	83	67	�	�	PROPN
american_scientific_journal-3172	83	68	𝜑𝜑𝑘𝑘	𝜑𝜑𝑘𝑘	NOUN
american_scientific_journal-3172	83	69	°	°	X
american_scientific_journal-3172	83	70	�	�	PROPN
american_scientific_journal-3172	83	71	eq[17	eq[17	PROPN
american_scientific_journal-3172	83	72	]	]	PUNCT
american_scientific_journal-3172	83	73	−	−	PRON
american_scientific_journal-3172	83	74	�	�	PROPN
american_scientific_journal-3172	83	75	𝑉𝑉𝑞𝑞	𝑉𝑉𝑞𝑞	PROPN
american_scientific_journal-3172	83	76	(	(	PUNCT
american_scientific_journal-3172	83	77	𝑍𝑍𝐻𝐻ℓp)3	𝑍𝑍𝐻𝐻ℓp)3	PROPN
american_scientific_journal-3172	83	78	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	83	79	�	�	PROPN
american_scientific_journal-3172	83	80	1	1	NUM
american_scientific_journal-3172	83	81	+	+	CCONJ
american_scientific_journal-3172	83	82	2(ℓp	2(ℓp	NUM
american_scientific_journal-3172	83	83	+	+	CCONJ
american_scientific_journal-3172	83	84	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	83	85	)	)	PUNCT
american_scientific_journal-3172	84	1	ℓp	ℓp	NOUN
american_scientific_journal-3172	84	2	+	+	CCONJ
american_scientific_journal-3172	84	3	(	(	PUNCT
american_scientific_journal-3172	84	4	ℓp	ℓp	ADJ
american_scientific_journal-3172	84	5	+	+	NUM
american_scientific_journal-3172	84	6	𝑘𝑘ℓp)2	𝑘𝑘ℓp)2	NOUN
american_scientific_journal-3172	84	7	(	(	PUNCT
american_scientific_journal-3172	84	8	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	84	9	�	�	PROPN
american_scientific_journal-3172	84	10	𝑘𝑘𝑛𝑛	𝑘𝑘𝑛𝑛	PROPN
american_scientific_journal-3172	84	11	(	(	PUNCT
american_scientific_journal-3172	84	12	𝑘𝑘=0	𝑘𝑘=0	NOUN
american_scientific_journal-3172	84	13	)	)	PUNCT
american_scientific_journal-3172	85	1	−𝑍𝑍𝐸𝐸𝐻𝐻	−𝑍𝑍𝐸𝐸𝐻𝐻	PROPN
american_scientific_journal-3172	85	2	+	+	NUM
american_scientific_journal-3172	85	3	�	�	PROPN
american_scientific_journal-3172	85	4	�	�	PROPN
american_scientific_journal-3172	85	5	∆𝐾𝐾	∆𝐾𝐾	PROPN
american_scientific_journal-3172	85	6	°	°	PROPN
american_scientific_journal-3172	85	7	∆𝐸𝐸	∆𝐸𝐸	PROPN
american_scientific_journal-3172	85	8	°	°	PROPN
american_scientific_journal-3172	85	9	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	VERB
american_scientific_journal-3172	85	10	𝑘𝑘2=𝜋𝜋−𝜃𝜃	𝑘𝑘2=𝜋𝜋−𝜃𝜃	PROPN
american_scientific_journal-3172	85	11	𝑘𝑘2=0	𝑘𝑘2=0	PUNCT
american_scientific_journal-3172	85	12	|e|𝑛𝑛	|e|𝑛𝑛	PUNCT
american_scientific_journal-3172	85	13	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-3172	85	14	°	°	NUM
american_scientific_journal-3172	85	15	cos	cos	PART
american_scientific_journal-3172	86	1	[	[	X
american_scientific_journal-3172	86	2	𝑐𝑐+	𝑐𝑐+	NOUN
american_scientific_journal-3172	86	3	𝑘𝑘2	𝑘𝑘2	PROPN
american_scientific_journal-3172	86	4	]	]	PUNCT
american_scientific_journal-3172	86	5	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	PROPN
american_scientific_journal-3172	86	6	�	�	PROPN
american_scientific_journal-3172	86	7	6π	6π	NOUN
american_scientific_journal-3172	86	8	�	�	PROPN
american_scientific_journal-3172	86	9	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	86	10	�	�	PROPN
american_scientific_journal-3172	86	11	1	1	NUM
american_scientific_journal-3172	86	12	+	+	NUM
american_scientific_journal-3172	86	13	2(ℓp	2(ℓp	NUM
american_scientific_journal-3172	86	14	+	+	CCONJ
american_scientific_journal-3172	86	15	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	86	16	)	)	PUNCT
american_scientific_journal-3172	87	1	ℓp	ℓp	NOUN
american_scientific_journal-3172	87	2	+	+	CCONJ
american_scientific_journal-3172	87	3	(	(	PUNCT
american_scientific_journal-3172	87	4	ℓp	ℓp	ADJ
american_scientific_journal-3172	87	5	+	+	NUM
american_scientific_journal-3172	87	6	𝑘𝑘ℓp)2	𝑘𝑘ℓp)2	NOUN
american_scientific_journal-3172	87	7	(	(	PUNCT
american_scientific_journal-3172	87	8	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	87	9	�	�	PROPN
american_scientific_journal-3172	88	1	𝜋𝜋	𝜋𝜋	PROPN
american_scientific_journal-3172	88	2	𝑘𝑘∞	𝑘𝑘∞	PROPN
american_scientific_journal-3172	88	3	𝑘𝑘=0	𝑘𝑘=0	NOUN
american_scientific_journal-3172	88	4	we	we	PRON
american_scientific_journal-3172	88	5	can	can	AUX
american_scientific_journal-3172	88	6	write	write	VERB
american_scientific_journal-3172	88	7	the	the	DET
american_scientific_journal-3172	88	8	rest	rest	NOUN
american_scientific_journal-3172	88	9	energy	energy	NOUN
american_scientific_journal-3172	88	10	of	of	ADP
american_scientific_journal-3172	88	11	the	the	DET
american_scientific_journal-3172	88	12	three	three	NUM
american_scientific_journal-3172	88	13	spheres	sphere	NOUN
american_scientific_journal-3172	88	14	of	of	ADP
american_scientific_journal-3172	88	15	the	the	DET
american_scientific_journal-3172	88	16	spherical	spherical	ADJ
american_scientific_journal-3172	88	17	waves	wave	NOUN
american_scientific_journal-3172	88	18	no	no	ADV
american_scientific_journal-3172	88	19	matter	matter	ADV
american_scientific_journal-3172	88	20	what	what	PRON
american_scientific_journal-3172	88	21	the	the	DET
american_scientific_journal-3172	88	22	distance	distance	NOUN
american_scientific_journal-3172	88	23	between	between	ADP
american_scientific_journal-3172	88	24	any	any	DET
american_scientific_journal-3172	88	25	two	two	NUM
american_scientific_journal-3172	88	26	spheres	sphere	NOUN
american_scientific_journal-3172	88	27	at	at	ADP
american_scientific_journal-3172	88	28	any	any	DET
american_scientific_journal-3172	88	29	time	time	NOUN
american_scientific_journal-3172	88	30	even	even	ADV
american_scientific_journal-3172	88	31	when	when	SCONJ
american_scientific_journal-3172	88	32	its	its	PRON
american_scientific_journal-3172	88	33	identical	identical	ADJ
american_scientific_journal-3172	88	34	and	and	CCONJ
american_scientific_journal-3172	88	35	mathematically	mathematically	ADV
american_scientific_journal-3172	88	36	the	the	DET
american_scientific_journal-3172	88	37	formula	formula	NOUN
american_scientific_journal-3172	88	38	of	of	ADP
american_scientific_journal-3172	88	39	the	the	DET
american_scientific_journal-3172	88	40	volume	volume	NOUN
american_scientific_journal-3172	88	41	by	by	ADP
american_scientific_journal-3172	88	42	using	use	VERB
american_scientific_journal-3172	88	43	a	a	DET
american_scientific_journal-3172	88	44	ratio	ratio	NOUN
american_scientific_journal-3172	88	45	between	between	ADP
american_scientific_journal-3172	88	46	the	the	DET
american_scientific_journal-3172	88	47	spherical	spherical	ADJ
american_scientific_journal-3172	88	48	waves	wave	NOUN
american_scientific_journal-3172	88	49	distance	distance	NOUN
american_scientific_journal-3172	88	50	:	:	PUNCT
american_scientific_journal-3172	89	1	𝑉𝑉𝑝𝑝	𝑉𝑉𝑝𝑝	ADP
american_scientific_journal-3172	89	2	=	=	SYM
american_scientific_journal-3172	89	3	3	3	NUM
american_scientific_journal-3172	89	4	�	�	PROPN
american_scientific_journal-3172	89	5	2[∑	2[∑	NUM
american_scientific_journal-3172	89	6	2𝑅𝑅𝑞𝑞	2𝑅𝑅𝑞𝑞	NUM
american_scientific_journal-3172	89	7	3−2𝑅𝑅𝑞𝑞3	3−2𝑅𝑅𝑞𝑞3	NUM
american_scientific_journal-3172	89	8	cos(𝜋𝜋−2𝜃𝜃	cos(𝜋𝜋−2𝜃𝜃	PROPN
american_scientific_journal-3172	89	9	)	)	PUNCT
american_scientific_journal-3172	89	10	𝑑𝑑	𝑑𝑑	PROPN
american_scientific_journal-3172	90	1	+	+	CCONJ
american_scientific_journal-3172	90	2	𝑅𝑅𝑅𝑅	𝑅𝑅𝑅𝑅	PROPN
american_scientific_journal-3172	90	3	]	]	PUNCT
american_scientific_journal-3172	90	4	𝜋𝜋	𝜋𝜋	ADP
american_scientific_journal-3172	90	5	2	2	NUM
american_scientific_journal-3172	90	6	0	0	NUM
american_scientific_journal-3172	90	7	�	�	PROPN
american_scientific_journal-3172	90	8	�	�	PROPN
american_scientific_journal-3172	90	9	1	1	NUM
american_scientific_journal-3172	90	10	+	+	NUM
american_scientific_journal-3172	90	11	3(𝑅𝑅𝑞𝑞+𝑘𝑘𝑅𝑅𝑞𝑞	3(𝑅𝑅𝑞𝑞+𝑘𝑘𝑅𝑅𝑞𝑞	NUM
american_scientific_journal-3172	90	12	)	)	PUNCT
american_scientific_journal-3172	91	1	𝑅𝑅𝑞𝑞	𝑅𝑅𝑞𝑞	PROPN
american_scientific_journal-3172	91	2	+	+	NUM
american_scientific_journal-3172	91	3	3(𝑅𝑅𝑞𝑞+𝑘𝑘𝑅𝑅𝑞𝑞)2	3(𝑅𝑅𝑞𝑞+𝑘𝑘𝑅𝑅𝑞𝑞)2	NUM
american_scientific_journal-3172	91	4	𝑅𝑅𝑞𝑞2	𝑅𝑅𝑞𝑞2	NOUN
american_scientific_journal-3172	91	5	+	+	CCONJ
american_scientific_journal-3172	91	6	(	(	PUNCT
american_scientific_journal-3172	91	7	𝑅𝑅𝑞𝑞+𝑘𝑘𝑅𝑅𝑞𝑞)3	𝑅𝑅𝑞𝑞+𝑘𝑘𝑅𝑅𝑞𝑞)3	PUNCT
american_scientific_journal-3172	91	8	𝑅𝑅𝑞𝑞3	𝑅𝑅𝑞𝑞3	VERB
american_scientific_journal-3172	91	9	�	�	PROPN
american_scientific_journal-3172	91	10	eq(18	eq(18	PROPN
american_scientific_journal-3172	91	11	)	)	PUNCT
american_scientific_journal-3172	91	12	1	1	NUM
american_scientific_journal-3172	91	13	.	.	X
american_scientific_journal-3172	92	1	qcd	qcd	NOUN
american_scientific_journal-3172	92	2	:	:	PUNCT
american_scientific_journal-3172	92	3	in	in	ADP
american_scientific_journal-3172	92	4	quantum	quantum	ADJ
american_scientific_journal-3172	92	5	chromodynamics	chromodynamic	NOUN
american_scientific_journal-3172	92	6	,	,	PUNCT
american_scientific_journal-3172	92	7	when	when	SCONJ
american_scientific_journal-3172	92	8	a	a	DET
american_scientific_journal-3172	92	9	quark	quark	NOUN
american_scientific_journal-3172	92	10	emits	emit	VERB
american_scientific_journal-3172	92	11	a	a	DET
american_scientific_journal-3172	92	12	colorless	colorless	ADJ
american_scientific_journal-3172	92	13	gluon	gluon	NOUN
american_scientific_journal-3172	92	14	,	,	PUNCT
american_scientific_journal-3172	92	15	in	in	ADP
american_scientific_journal-3172	92	16	this	this	DET
american_scientific_journal-3172	92	17	case	case	NOUN
american_scientific_journal-3172	92	18	the	the	DET
american_scientific_journal-3172	92	19	colorless	colorless	ADJ
american_scientific_journal-3172	92	20	gluon	gluon	NOUN
american_scientific_journal-3172	92	21	can	can	AUX
american_scientific_journal-3172	92	22	convert	convert	VERB
american_scientific_journal-3172	92	23	to	to	ADP
american_scientific_journal-3172	92	24	another	another	DET
american_scientific_journal-3172	92	25	colorless	colorless	ADJ
american_scientific_journal-3172	92	26	gluon	gluon	NOUN
american_scientific_journal-3172	92	27	according	accord	VERB
american_scientific_journal-3172	92	28	the	the	DET
american_scientific_journal-3172	92	29	super	super	ADJ
american_scientific_journal-3172	92	30	-	-	ADJ
american_scientific_journal-3172	92	31	position	position	ADJ
american_scientific_journal-3172	92	32	property	property	NOUN
american_scientific_journal-3172	92	33	.	.	PUNCT
american_scientific_journal-3172	93	1	and	and	CCONJ
american_scientific_journal-3172	93	2	separate	separate	VERB
american_scientific_journal-3172	93	3	into	into	ADP
american_scientific_journal-3172	93	4	two	two	NUM
american_scientific_journal-3172	93	5	gluons	gluon	NOUN
american_scientific_journal-3172	93	6	which	which	PRON
american_scientific_journal-3172	93	7	absorbed	absorb	VERB
american_scientific_journal-3172	93	8	by	by	ADP
american_scientific_journal-3172	93	9	the	the	DET
american_scientific_journal-3172	93	10	quarks	quark	NOUN
american_scientific_journal-3172	93	11	,	,	PUNCT
american_scientific_journal-3172	93	12	and	and	CCONJ
american_scientific_journal-3172	93	13	we	we	PRON
american_scientific_journal-3172	93	14	can	can	AUX
american_scientific_journal-3172	93	15	write	write	VERB
american_scientific_journal-3172	93	16	the	the	DET
american_scientific_journal-3172	93	17	probabilities	probability	NOUN
american_scientific_journal-3172	93	18	of	of	ADP
american_scientific_journal-3172	93	19	this	this	DET
american_scientific_journal-3172	93	20	action	action	NOUN
american_scientific_journal-3172	93	21	as[8	as[8	PROPN
american_scientific_journal-3172	93	22	]	]	PUNCT
american_scientific_journal-3172	93	23	.	.	PUNCT
american_scientific_journal-3172	94	1	𝑆𝑆𝑎𝑎𝑐𝑐𝑎𝑎𝑎𝑎𝑐𝑐𝑛𝑛	𝑆𝑆𝑎𝑎𝑐𝑐𝑎𝑎𝑎𝑎𝑐𝑐𝑛𝑛	PROPN
american_scientific_journal-3172	94	2	=	=	ADJ
american_scientific_journal-3172	94	3	1	1	NUM
american_scientific_journal-3172	94	4	√22	√22	PROPN
american_scientific_journal-3172	94	5	�	�	PROPN
american_scientific_journal-3172	94	6	𝜙𝜙𝑔𝑔ǧ2	𝜙𝜙𝑔𝑔ǧ2	PROPN
american_scientific_journal-3172	94	7	°	°	NOUN
american_scientific_journal-3172	94	8	+	+	ADJ
american_scientific_journal-3172	94	9	𝜙𝜙𝑔𝑔ǧ3	𝜙𝜙𝑔𝑔ǧ3	PROPN
american_scientific_journal-3172	94	10	°	°	NOUN
american_scientific_journal-3172	94	11	�	�	PROPN
american_scientific_journal-3172	94	12	+	+	SYM
american_scientific_journal-3172	94	13	1	1	NUM
american_scientific_journal-3172	94	14	√22	√22	PROPN
american_scientific_journal-3172	94	15	�	�	PROPN
american_scientific_journal-3172	94	16	�	�	PROPN
american_scientific_journal-3172	94	17	𝜙𝜙𝑔𝑔ǧ2	𝜙𝜙𝑔𝑔ǧ2	PROPN
american_scientific_journal-3172	94	18	�	�	PROPN
american_scientific_journal-3172	94	19	1	1	NUM
american_scientific_journal-3172	94	20	√62	√62	PROPN
american_scientific_journal-3172	94	21	[	[	X
american_scientific_journal-3172	94	22	𝑔𝑔𝑔𝑔2	𝑔𝑔𝑔𝑔2	NOUN
american_scientific_journal-3172	94	23	+	+	CCONJ
american_scientific_journal-3172	94	24	ǧǧ2	ǧǧ2	X
american_scientific_journal-3172	94	25	]	]	X
american_scientific_journal-3172	94	26	+	+	CCONJ
american_scientific_journal-3172	94	27	�	�	PROPN
american_scientific_journal-3172	94	28	𝜙𝜙𝑔𝑔ǧ3	𝜙𝜙𝑔𝑔ǧ3	PROPN
american_scientific_journal-3172	94	29	�	�	PROPN
american_scientific_journal-3172	94	30	1	1	NUM
american_scientific_journal-3172	94	31	√62	√62	PROPN
american_scientific_journal-3172	94	32	[	[	PUNCT
american_scientific_journal-3172	94	33	𝑔𝑔𝑔𝑔3	𝑔𝑔𝑔𝑔3	X
american_scientific_journal-3172	94	34	+	+	CCONJ
american_scientific_journal-3172	94	35	ǧǧ3	ǧǧ3	PROPN
american_scientific_journal-3172	94	36	]	]	X
american_scientific_journal-3172	94	37	�	�	PROPN
american_scientific_journal-3172	94	38	eq(19	eq(19	PROPN
american_scientific_journal-3172	94	39	)	)	PUNCT
american_scientific_journal-3172	94	40	american	american	ADJ
american_scientific_journal-3172	94	41	scientific	scientific	ADJ
american_scientific_journal-3172	94	42	research	research	NOUN
american_scientific_journal-3172	94	43	journal	journal	NOUN
american_scientific_journal-3172	94	44	for	for	ADP
american_scientific_journal-3172	94	45	engineering	engineering	NOUN
american_scientific_journal-3172	94	46	,	,	PUNCT
american_scientific_journal-3172	94	47	technology	technology	NOUN
american_scientific_journal-3172	94	48	,	,	PUNCT
american_scientific_journal-3172	94	49	and	and	CCONJ
american_scientific_journal-3172	94	50	sciences	science	NOUN
american_scientific_journal-3172	94	51	(	(	PUNCT
american_scientific_journal-3172	94	52	asrjets	asrjet	NOUN
american_scientific_journal-3172	94	53	)	)	PUNCT
american_scientific_journal-3172	94	54	(	(	PUNCT
american_scientific_journal-3172	94	55	2017	2017	NUM
american_scientific_journal-3172	94	56	)	)	PUNCT
american_scientific_journal-3172	94	57	volume	volume	NOUN
american_scientific_journal-3172	94	58	34	34	NUM
american_scientific_journal-3172	94	59	,	,	PUNCT
american_scientific_journal-3172	94	60	no	no	DET
american_scientific_journal-3172	94	61	1	1	NUM
american_scientific_journal-3172	94	62	,	,	PUNCT
american_scientific_journal-3172	94	63	pp	pp	ADV
american_scientific_journal-3172	94	64	114	114	NUM
american_scientific_journal-3172	94	65	-	-	SYM
american_scientific_journal-3172	94	66	122	122	NUM
american_scientific_journal-3172	94	67	121	121	NUM
american_scientific_journal-3172	94	68	lately	lately	ADV
american_scientific_journal-3172	94	69	we	we	PRON
american_scientific_journal-3172	94	70	considered	consider	VERB
american_scientific_journal-3172	94	71	that	that	SCONJ
american_scientific_journal-3172	94	72	the	the	DET
american_scientific_journal-3172	94	73	energy	energy	NOUN
american_scientific_journal-3172	94	74	(	(	PUNCT
american_scientific_journal-3172	94	75	mass	mass	PROPN
american_scientific_journal-3172	94	76	)	)	PUNCT
american_scientific_journal-3172	94	77	of	of	ADP
american_scientific_journal-3172	94	78	the	the	DET
american_scientific_journal-3172	94	79	proton	proton	NOUN
american_scientific_journal-3172	94	80	is	be	AUX
american_scientific_journal-3172	94	81	just	just	ADV
american_scientific_journal-3172	94	82	an	an	DET
american_scientific_journal-3172	94	83	energy	energy	NOUN
american_scientific_journal-3172	94	84	spherical	spherical	ADJ
american_scientific_journal-3172	94	85	waves	wave	NOUN
american_scientific_journal-3172	94	86	fluctuations	fluctuation	NOUN
american_scientific_journal-3172	94	87	duo	duo	VERB
american_scientific_journal-3172	94	88	to	to	ADP
american_scientific_journal-3172	94	89	the	the	DET
american_scientific_journal-3172	94	90	quarks	quarks	NOUN
american_scientific_journal-3172	94	91	spinning	spinning	NOUN
american_scientific_journal-3172	94	92	.	.	PUNCT
american_scientific_journal-3172	95	1	now	now	ADV
american_scientific_journal-3172	95	2	,	,	PUNCT
american_scientific_journal-3172	95	3	let	let	VERB
american_scientific_journal-3172	95	4	's	us	PRON
american_scientific_journal-3172	95	5	consider	consider	VERB
american_scientific_journal-3172	95	6	something	something	PRON
american_scientific_journal-3172	95	7	which	which	PRON
american_scientific_journal-3172	95	8	show	show	VERB
american_scientific_journal-3172	95	9	us	we	PRON
american_scientific_journal-3172	95	10	the	the	DET
american_scientific_journal-3172	95	11	subject	subject	NOUN
american_scientific_journal-3172	95	12	associated	associate	VERB
american_scientific_journal-3172	95	13	and	and	CCONJ
american_scientific_journal-3172	95	14	better	well	ADJ
american_scientific_journal-3172	95	15	for	for	ADP
american_scientific_journal-3172	95	16	understanding	understanding	NOUN
american_scientific_journal-3172	95	17	.	.	PUNCT
american_scientific_journal-3172	96	1	let	let	VERB
american_scientific_journal-3172	96	2	's	us	PRON
american_scientific_journal-3172	96	3	imagine	imagine	VERB
american_scientific_journal-3172	96	4	and	and	CCONJ
american_scientific_journal-3172	96	5	consider	consider	VERB
american_scientific_journal-3172	96	6	that	that	SCONJ
american_scientific_journal-3172	96	7	the	the	DET
american_scientific_journal-3172	96	8	color	color	NOUN
american_scientific_journal-3172	96	9	charge	charge	NOUN
american_scientific_journal-3172	96	10	as	as	ADP
american_scientific_journal-3172	96	11	a	a	DET
american_scientific_journal-3172	96	12	quantity	quantity	NOUN
american_scientific_journal-3172	96	13	,	,	PUNCT
american_scientific_journal-3172	96	14	the	the	DET
american_scientific_journal-3172	96	15	gluons	gluon	NOUN
american_scientific_journal-3172	96	16	field	field	NOUN
american_scientific_journal-3172	96	17	is	be	AUX
american_scientific_journal-3172	96	18	a	a	DET
american_scientific_journal-3172	96	19	spherical	spherical	ADJ
american_scientific_journal-3172	96	20	wave	wave	NOUN
american_scientific_journal-3172	96	21	that	that	PRON
american_scientific_journal-3172	96	22	collision	collision	NOUN
american_scientific_journal-3172	96	23	with	with	ADP
american_scientific_journal-3172	96	24	other	other	ADJ
american_scientific_journal-3172	96	25	gluon	gluon	NOUN
american_scientific_journal-3172	96	26	spherical	spherical	ADJ
american_scientific_journal-3172	96	27	wave	wave	NOUN
american_scientific_journal-3172	96	28	by	by	ADP
american_scientific_journal-3172	96	29	the	the	DET
american_scientific_journal-3172	96	30	color	color	NOUN
american_scientific_journal-3172	96	31	charged	charge	VERB
american_scientific_journal-3172	96	32	spinning	spinning	NOUN
american_scientific_journal-3172	96	33	quark	quark	NOUN
american_scientific_journal-3172	96	34	.	.	PUNCT
american_scientific_journal-3172	97	1	for	for	ADP
american_scientific_journal-3172	97	2	imaging	image	VERB
american_scientific_journal-3172	97	3	the	the	DET
american_scientific_journal-3172	97	4	action	action	NOUN
american_scientific_journal-3172	97	5	that	that	PRON
american_scientific_journal-3172	97	6	we	we	PRON
american_scientific_journal-3172	97	7	already	already	ADV
american_scientific_journal-3172	97	8	talked	talk	VERB
american_scientific_journal-3172	97	9	about	about	ADP
american_scientific_journal-3172	97	10	,	,	PUNCT
american_scientific_journal-3172	97	11	the	the	DET
american_scientific_journal-3172	97	12	colorless	colorless	ADJ
american_scientific_journal-3172	97	13	gluon	gluon	NOUN
american_scientific_journal-3172	97	14	by	by	ADP
american_scientific_journal-3172	97	15	the	the	DET
american_scientific_journal-3172	97	16	spherical	spherical	ADJ
american_scientific_journal-3172	97	17	waves	wave	NOUN
american_scientific_journal-3172	97	18	concept	concept	NOUN
american_scientific_journal-3172	97	19	we	we	PRON
american_scientific_journal-3172	97	20	find	find	VERB
american_scientific_journal-3172	97	21	that	that	SCONJ
american_scientific_journal-3172	97	22	the	the	DET
american_scientific_journal-3172	97	23	model	model	NOUN
american_scientific_journal-3172	97	24	is	be	AUX
american_scientific_journal-3172	97	25	actually	actually	ADV
american_scientific_journal-3172	97	26	explains	explain	VERB
american_scientific_journal-3172	97	27	the	the	DET
american_scientific_journal-3172	97	28	emiting	emiting	NOUN
american_scientific_journal-3172	97	29	of	of	ADP
american_scientific_journal-3172	97	30	the	the	DET
american_scientific_journal-3172	97	31	pion	pion	NOUN
american_scientific_journal-3172	97	32	(	(	PUNCT
american_scientific_journal-3172	97	33	meson	meson	NOUN
american_scientific_journal-3172	97	34	)	)	PUNCT
american_scientific_journal-3172	97	35	to	to	PART
american_scientific_journal-3172	97	36	keep	keep	VERB
american_scientific_journal-3172	97	37	the	the	DET
american_scientific_journal-3172	97	38	nucleons	nucleon	NOUN
american_scientific_journal-3172	97	39	valence	valence	NOUN
american_scientific_journal-3172	97	40	and	and	CCONJ
american_scientific_journal-3172	97	41	that	that	SCONJ
american_scientific_journal-3172	97	42	because	because	SCONJ
american_scientific_journal-3172	97	43	the	the	DET
american_scientific_journal-3172	97	44	model	model	NOUN
american_scientific_journal-3172	97	45	consider	consider	VERB
american_scientific_journal-3172	97	46	the	the	DET
american_scientific_journal-3172	97	47	the	the	DET
american_scientific_journal-3172	97	48	gluon	gluon	NOUN
american_scientific_journal-3172	97	49	field	field	NOUN
american_scientific_journal-3172	97	50	is	be	AUX
american_scientific_journal-3172	97	51	actually	actually	ADV
american_scientific_journal-3172	97	52	carried	carry	VERB
american_scientific_journal-3172	97	53	by	by	ADP
american_scientific_journal-3172	97	54	the	the	DET
american_scientific_journal-3172	97	55	bouncing	bounce	VERB
american_scientific_journal-3172	97	56	higgs	higgs	NOUN
american_scientific_journal-3172	97	57	bosons	boson	NOUN
american_scientific_journal-3172	97	58	(	(	PUNCT
american_scientific_journal-3172	97	59	making	make	VERB
american_scientific_journal-3172	97	60	spherical	spherical	ADJ
american_scientific_journal-3172	97	61	waves	wave	NOUN
american_scientific_journal-3172	97	62	)	)	PUNCT
american_scientific_journal-3172	97	63	as	as	SCONJ
american_scientific_journal-3172	97	64	we	we	PRON
american_scientific_journal-3172	97	65	show	show	VERB
american_scientific_journal-3172	97	66	mathematically	mathematically	ADV
american_scientific_journal-3172	97	67	.	.	PUNCT
american_scientific_journal-3172	98	1	the	the	DET
american_scientific_journal-3172	98	2	quark	quark	NOUN
american_scientific_journal-3172	98	3	-	-	NOUN
american_scientific_journal-3172	98	4	antiquark	antiquark	NOUN
american_scientific_journal-3172	98	5	in	in	ADP
american_scientific_journal-3172	98	6	the	the	DET
american_scientific_journal-3172	98	7	meson	meson	NOUN
american_scientific_journal-3172	98	8	are	be	AUX
american_scientific_journal-3172	98	9	emoted	emote	VERB
american_scientific_journal-3172	98	10	by	by	ADP
american_scientific_journal-3172	98	11	the	the	DET
american_scientific_journal-3172	98	12	bouncing	bounce	VERB
american_scientific_journal-3172	98	13	carring	carring	ADJ
american_scientific_journal-3172	98	14	charge	charge	NOUN
american_scientific_journal-3172	98	15	higgs	higgs	NOUN
american_scientific_journal-3172	98	16	boson	boson	NOUN
american_scientific_journal-3172	98	17	after	after	ADP
american_scientific_journal-3172	98	18	the	the	DET
american_scientific_journal-3172	98	19	action	action	NOUN
american_scientific_journal-3172	98	20	in	in	ADP
american_scientific_journal-3172	98	21	rest	rest	NOUN
american_scientific_journal-3172	98	22	of	of	ADP
american_scientific_journal-3172	98	23	hadron	hadron	NOUN
american_scientific_journal-3172	98	24	mass	mass	NOUN
american_scientific_journal-3172	98	25	when	when	SCONJ
american_scientific_journal-3172	98	26	the	the	DET
american_scientific_journal-3172	98	27	bouncing	bounce	VERB
american_scientific_journal-3172	98	28	spherical	spherical	ADJ
american_scientific_journal-3172	98	29	waves	wave	NOUN
american_scientific_journal-3172	98	30	of	of	ADP
american_scientific_journal-3172	98	31	the	the	DET
american_scientific_journal-3172	98	32	spinnnig	spinnnig	PROPN
american_scientific_journal-3172	98	33	quarks	quarks	PROPN
american_scientific_journal-3172	98	34	reaches	reach	VERB
american_scientific_journal-3172	98	35	its	its	PRON
american_scientific_journal-3172	98	36	maximum	maximum	ADJ
american_scientific_journal-3172	98	37	limit	limit	NOUN
american_scientific_journal-3172	98	38	by	by	ADP
american_scientific_journal-3172	98	39	the	the	DET
american_scientific_journal-3172	98	40	case	case	NOUN
american_scientific_journal-3172	98	41	of	of	ADP
american_scientific_journal-3172	98	42	the	the	DET
american_scientific_journal-3172	98	43	colorless	colorless	ADJ
american_scientific_journal-3172	98	44	gluon	gluon	NOUN
american_scientific_journal-3172	98	45	eq	eq	NOUN
american_scientific_journal-3172	98	46	(	(	PUNCT
american_scientific_journal-3172	98	47	)	)	PUNCT
american_scientific_journal-3172	98	48	:	:	PUNCT
american_scientific_journal-3172	98	49	𝑀𝑀𝑞𝑞	𝑀𝑀𝑞𝑞	PROPN
american_scientific_journal-3172	98	50	=	=	SYM
american_scientific_journal-3172	98	51	�	�	PROPN
american_scientific_journal-3172	98	52	�	�	PROPN
american_scientific_journal-3172	98	53	∆𝐾𝐾	∆𝐾𝐾	PROPN
american_scientific_journal-3172	98	54	°	°	PROPN
american_scientific_journal-3172	98	55	∆𝐸𝐸	∆𝐸𝐸	PROPN
american_scientific_journal-3172	98	56	°	°	PROPN
american_scientific_journal-3172	98	57	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	VERB
american_scientific_journal-3172	98	58	𝑘𝑘2=𝜋𝜋−𝜃𝜃	𝑘𝑘2=𝜋𝜋−𝜃𝜃	PROPN
american_scientific_journal-3172	98	59	𝑘𝑘2=0	𝑘𝑘2=0	PUNCT
american_scientific_journal-3172	98	60	|e|𝑛𝑛	|e|𝑛𝑛	PUNCT
american_scientific_journal-3172	98	61	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-3172	98	62	°	°	NUM
american_scientific_journal-3172	98	63	cos	cos	PART
american_scientific_journal-3172	99	1	[	[	X
american_scientific_journal-3172	99	2	𝑐𝑐+	𝑐𝑐+	NOUN
american_scientific_journal-3172	99	3	𝑘𝑘2	𝑘𝑘2	PROPN
american_scientific_journal-3172	99	4	]	]	PUNCT
american_scientific_journal-3172	99	5	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐	PROPN
american_scientific_journal-3172	99	6	�	�	PROPN
american_scientific_journal-3172	99	7	4π	4π	PROPN
american_scientific_journal-3172	99	8	�	�	PROPN
american_scientific_journal-3172	99	9	𝐴𝐴ℓp	𝐴𝐴ℓp	PROPN
american_scientific_journal-3172	99	10	�	�	PROPN
american_scientific_journal-3172	99	11	1	1	NUM
american_scientific_journal-3172	99	12	+	+	NUM
american_scientific_journal-3172	99	13	2(ℓp	2(ℓp	NUM
american_scientific_journal-3172	99	14	+	+	CCONJ
american_scientific_journal-3172	99	15	𝑘𝑘ℓp	𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	99	16	)	)	PUNCT
american_scientific_journal-3172	100	1	ℓp	ℓp	NOUN
american_scientific_journal-3172	100	2	+	+	CCONJ
american_scientific_journal-3172	100	3	(	(	PUNCT
american_scientific_journal-3172	100	4	ℓp	ℓp	ADJ
american_scientific_journal-3172	100	5	+	+	NUM
american_scientific_journal-3172	100	6	𝑘𝑘ℓp)2	𝑘𝑘ℓp)2	NOUN
american_scientific_journal-3172	100	7	(	(	PUNCT
american_scientific_journal-3172	100	8	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	100	9	�	�	PROPN
american_scientific_journal-3172	100	10	𝜋𝜋	𝜋𝜋	PROPN
american_scientific_journal-3172	100	11	𝑘𝑘∞	𝑘𝑘∞	PROPN
american_scientific_journal-3172	100	12	𝑘𝑘=0	𝑘𝑘=0	PROPN
american_scientific_journal-3172	100	13	1	1	NUM
american_scientific_journal-3172	100	14	√22	√22	PROPN
american_scientific_journal-3172	100	15	�	�	PROPN
american_scientific_journal-3172	100	16	𝜙𝜙𝑔𝑔ǧ2	𝜙𝜙𝑔𝑔ǧ2	PROPN
american_scientific_journal-3172	100	17	°	°	NOUN
american_scientific_journal-3172	101	1	+	+	ADJ
american_scientific_journal-3172	101	2	𝜙𝜙𝑔𝑔ǧ3	𝜙𝜙𝑔𝑔ǧ3	PROPN
american_scientific_journal-3172	101	3	°	°	ADJ
american_scientific_journal-3172	101	4	�	�	PROPN
american_scientific_journal-3172	101	5	+	+	CCONJ
american_scientific_journal-3172	101	6	1	1	NUM
american_scientific_journal-3172	101	7	√22	√22	PROPN
american_scientific_journal-3172	102	1	[	[	X
american_scientific_journal-3172	102	2	�	�	NOUN
american_scientific_journal-3172	102	3	𝜙𝜙𝑔𝑔ǧ2	𝜙𝜙𝑔𝑔ǧ2	PROPN
american_scientific_journal-3172	102	4	�	�	PROPN
american_scientific_journal-3172	102	5	1	1	NUM
american_scientific_journal-3172	102	6	√62	√62	PROPN
american_scientific_journal-3172	102	7	[	[	X
american_scientific_journal-3172	102	8	𝑔𝑔𝑔𝑔2	𝑔𝑔𝑔𝑔2	NOUN
american_scientific_journal-3172	102	9	+	+	CCONJ
american_scientific_journal-3172	102	10	ǧǧ2	ǧǧ2	X
american_scientific_journal-3172	102	11	]	]	X
american_scientific_journal-3172	102	12	+	+	CCONJ
american_scientific_journal-3172	102	13	�	�	PROPN
american_scientific_journal-3172	102	14	𝜙𝜙𝑔𝑔ǧ3	𝜙𝜙𝑔𝑔ǧ3	PROPN
american_scientific_journal-3172	102	15	�	�	PROPN
american_scientific_journal-3172	102	16	1	1	NUM
american_scientific_journal-3172	102	17	√62	√62	PROPN
american_scientific_journal-3172	102	18	[	[	PUNCT
american_scientific_journal-3172	102	19	𝑔𝑔𝑔𝑔3	𝑔𝑔𝑔𝑔3	X
american_scientific_journal-3172	102	20	+	+	X
american_scientific_journal-3172	102	21	ǧǧ3	ǧǧ3	PROPN
american_scientific_journal-3172	102	22	]	]	X
american_scientific_journal-3172	102	23	]	]	PUNCT
american_scientific_journal-3172	102	24	and	and	CCONJ
american_scientific_journal-3172	102	25	since	since	SCONJ
american_scientific_journal-3172	102	26	the	the	DET
american_scientific_journal-3172	102	27	higgs	higgs	PROPN
american_scientific_journal-3172	102	28	bosons	bosons	PROPN
american_scientific_journal-3172	102	29	carried	carry	VERB
american_scientific_journal-3172	102	30	the	the	DET
american_scientific_journal-3172	102	31	charge	charge	NOUN
american_scientific_journal-3172	102	32	while	while	SCONJ
american_scientific_journal-3172	102	33	bouncing	bounce	VERB
american_scientific_journal-3172	102	34	in	in	ADP
american_scientific_journal-3172	102	35	sw	sw	PROPN
american_scientific_journal-3172	102	36	(	(	PUNCT
american_scientific_journal-3172	102	37	spherical	spherical	ADJ
american_scientific_journal-3172	102	38	waves	wave	NOUN
american_scientific_journal-3172	102	39	)	)	PUNCT
american_scientific_journal-3172	103	1	we	we	PRON
american_scientific_journal-3172	103	2	found	find	VERB
american_scientific_journal-3172	103	3	𝑆𝑆𝑎𝑎𝑐𝑐𝑎𝑎𝑎𝑎𝑐𝑐𝑛𝑛	𝑆𝑆𝑎𝑎𝑐𝑐𝑎𝑎𝑎𝑎𝑐𝑐𝑛𝑛	PROPN
american_scientific_journal-3172	103	4	≡	≡	PROPN
american_scientific_journal-3172	103	5	∑	∑	PROPN
american_scientific_journal-3172	103	6	∏	∏	PROPN
american_scientific_journal-3172	103	7	∆𝐾𝐾	∆𝐾𝐾	PROPN
american_scientific_journal-3172	103	8	°	°	PROPN
american_scientific_journal-3172	103	9	∆𝐸𝐸	∆𝐸𝐸	PROPN
american_scientific_journal-3172	103	10	°	°	PROPN
american_scientific_journal-3172	103	11	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	VERB
american_scientific_journal-3172	103	12	𝑘𝑘2=𝜋𝜋−𝜃𝜃	𝑘𝑘2=𝜋𝜋−𝜃𝜃	PROPN
american_scientific_journal-3172	103	13	𝑘𝑘2=0	𝑘𝑘2=0	PUNCT
american_scientific_journal-3172	103	14	|e|𝑛𝑛	|e|𝑛𝑛	PUNCT
american_scientific_journal-3172	103	15	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-3172	103	16	°	°	PROPN
american_scientific_journal-3172	103	17	cos	cos	X
american_scientific_journal-3172	104	1	[	[	X
american_scientific_journal-3172	104	2	𝜃𝜃+𝑘𝑘2	𝜃𝜃+𝑘𝑘2	NOUN
american_scientific_journal-3172	104	3	]	]	X
american_scientific_journal-3172	104	4	𝑐𝑐𝑐𝑐𝑐𝑐𝜃𝜃	𝑐𝑐𝑐𝑐𝑐𝑐𝜃𝜃	NOUN
american_scientific_journal-3172	104	5	∑	∑	PUNCT
american_scientific_journal-3172	104	6	4π	4π	NUM
american_scientific_journal-3172	104	7	�	�	PROPN
american_scientific_journal-3172	104	8	𝐴𝐴ℓp	𝐴𝐴ℓp	NOUN
american_scientific_journal-3172	104	9	�	�	NOUN
american_scientific_journal-3172	104	10	1	1	NUM
american_scientific_journal-3172	104	11	+	+	NUM
american_scientific_journal-3172	104	12	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	104	13	)	)	PUNCT
american_scientific_journal-3172	104	14	ℓp	ℓp	ADJ
american_scientific_journal-3172	104	15	+	+	NOUN
american_scientific_journal-3172	104	16	(	(	PUNCT
american_scientific_journal-3172	104	17	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	104	18	(	(	PUNCT
american_scientific_journal-3172	104	19	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	104	20	�	�	PROPN
american_scientific_journal-3172	104	21	𝜋𝜋	𝜋𝜋	PROPN
american_scientific_journal-3172	104	22	𝑘𝑘𝑚𝑚𝑚𝑚𝑚𝑚	𝑘𝑘𝑚𝑚𝑚𝑚𝑚𝑚	PROPN
american_scientific_journal-3172	104	23	𝑘𝑘=0.5	𝑘𝑘=0.5	PROPN
american_scientific_journal-3172	104	24	𝑘𝑘𝑅𝑅𝑅𝑅	𝑘𝑘𝑅𝑅𝑅𝑅	PROPN
american_scientific_journal-3172	104	25	eq(21	eq(21	PROPN
american_scientific_journal-3172	104	26	)	)	PUNCT
american_scientific_journal-3172	104	27	∑	∑	PUNCT
american_scientific_journal-3172	104	28	∏	∏	PROPN
american_scientific_journal-3172	104	29	∆𝐾𝐾	∆𝐾𝐾	PROPN
american_scientific_journal-3172	104	30	°	°	PROPN
american_scientific_journal-3172	104	31	∆𝐸𝐸	∆𝐸𝐸	PROPN
american_scientific_journal-3172	104	32	°	°	PROPN
american_scientific_journal-3172	104	33	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	∆𝐸𝐸𝑚𝑚𝑚𝑚𝑚𝑚	VERB
american_scientific_journal-3172	104	34	𝑘𝑘2=𝜋𝜋−𝜃𝜃	𝑘𝑘2=𝜋𝜋−𝜃𝜃	PROPN
american_scientific_journal-3172	104	35	𝑘𝑘2=0	𝑘𝑘2=0	PUNCT
american_scientific_journal-3172	104	36	|e|𝑛𝑛	|e|𝑛𝑛	PUNCT
american_scientific_journal-3172	104	37	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-3172	104	38	°	°	PROPN
american_scientific_journal-3172	104	39	cos	cos	X
american_scientific_journal-3172	105	1	[	[	X
american_scientific_journal-3172	105	2	𝜃𝜃+𝑘𝑘2	𝜃𝜃+𝑘𝑘2	NOUN
american_scientific_journal-3172	105	3	]	]	X
american_scientific_journal-3172	105	4	𝑐𝑐𝑐𝑐𝑐𝑐𝜃𝜃	𝑐𝑐𝑐𝑐𝑐𝑐𝜃𝜃	NOUN
american_scientific_journal-3172	105	5	[	[	X
american_scientific_journal-3172	105	6	𝑆𝑆𝑎𝑎𝑐𝑐𝑎𝑎𝑎𝑎𝑐𝑐𝑛𝑛]∑	𝑆𝑆𝑎𝑎𝑐𝑐𝑎𝑎𝑎𝑎𝑐𝑐𝑛𝑛]∑	PROPN
american_scientific_journal-3172	105	7	4π	4π	NUM
american_scientific_journal-3172	105	8	�	�	PROPN
american_scientific_journal-3172	105	9	𝐴𝐴ℓp	𝐴𝐴ℓp	NOUN
american_scientific_journal-3172	105	10	�	�	NOUN
american_scientific_journal-3172	105	11	1	1	NUM
american_scientific_journal-3172	105	12	+	+	NUM
american_scientific_journal-3172	105	13	2(ℓp+𝑘𝑘ℓp	2(ℓp+𝑘𝑘ℓp	NOUN
american_scientific_journal-3172	105	14	)	)	PUNCT
american_scientific_journal-3172	105	15	ℓp	ℓp	ADJ
american_scientific_journal-3172	105	16	+	+	NOUN
american_scientific_journal-3172	105	17	(	(	PUNCT
american_scientific_journal-3172	105	18	ℓp+𝑘𝑘ℓp)2	ℓp+𝑘𝑘ℓp)2	PROPN
american_scientific_journal-3172	105	19	(	(	PUNCT
american_scientific_journal-3172	105	20	ℓp)2	ℓp)2	PROPN
american_scientific_journal-3172	105	21	�	�	PROPN
american_scientific_journal-3172	105	22	𝜋𝜋	𝜋𝜋	PROPN
american_scientific_journal-3172	105	23	𝑘𝑘𝑚𝑚𝑚𝑚𝑚𝑚	𝑘𝑘𝑚𝑚𝑚𝑚𝑚𝑚	PROPN
american_scientific_journal-3172	105	24	𝑘𝑘=0.5	𝑘𝑘=0.5	PROPN
american_scientific_journal-3172	105	25	𝑘𝑘𝑅𝑅𝑅𝑅	𝑘𝑘𝑅𝑅𝑅𝑅	PROPN
american_scientific_journal-3172	105	26	eq(22	eq(22	PROPN
american_scientific_journal-3172	105	27	)	)	PUNCT
american_scientific_journal-3172	106	1	=	=	PUNCT
american_scientific_journal-3172	107	1	4.8−0.3	4.8−0.3	NUM
american_scientific_journal-3172	107	2	+0.5𝑀𝑀𝑒𝑒𝑉𝑉	+0.5𝑀𝑀𝑒𝑒𝑉𝑉	NOUN
american_scientific_journal-3172	108	1	and	and	CCONJ
american_scientific_journal-3172	108	2	that	that	PRON
american_scientific_journal-3172	108	3	’s	’	VERB
american_scientific_journal-3172	108	4	actually	actually	ADV
american_scientific_journal-3172	108	5	the	the	DET
american_scientific_journal-3172	108	6	down	down	PROPN
american_scientific_journal-3172	108	7	quark	quark	PROPN
american_scientific_journal-3172	108	8	mass	mass	PROPN
american_scientific_journal-3172	108	9	.	.	PUNCT
american_scientific_journal-3172	109	1	3	3	X
american_scientific_journal-3172	109	2	.	.	X
american_scientific_journal-3172	109	3	conclusion	conclusion	NOUN
american_scientific_journal-3172	109	4	in	in	ADP
american_scientific_journal-3172	109	5	this	this	DET
american_scientific_journal-3172	109	6	paper	paper	NOUN
american_scientific_journal-3172	109	7	we	we	PRON
american_scientific_journal-3172	109	8	achieved	achieve	VERB
american_scientific_journal-3172	109	9	mathematically	mathematically	ADV
american_scientific_journal-3172	109	10	that	that	SCONJ
american_scientific_journal-3172	109	11	the	the	DET
american_scientific_journal-3172	109	12	excistence	excistence	NOUN
american_scientific_journal-3172	109	13	of	of	ADP
american_scientific_journal-3172	109	14	the	the	DET
american_scientific_journal-3172	109	15	hadrons	hadron	NOUN
american_scientific_journal-3172	109	16	duo	duo	NOUN
american_scientific_journal-3172	109	17	to	to	ADP
american_scientific_journal-3172	109	18	the	the	DET
american_scientific_journal-3172	109	19	physical	physical	ADJ
american_scientific_journal-3172	109	20	consequences	consequence	NOUN
american_scientific_journal-3172	109	21	of	of	ADP
american_scientific_journal-3172	109	22	quarks	quark	NOUN
american_scientific_journal-3172	109	23	spin	spin	VERB
american_scientific_journal-3172	109	24	in	in	ADP
american_scientific_journal-3172	109	25	the	the	DET
american_scientific_journal-3172	109	26	higgs	higgs	NOUN
american_scientific_journal-3172	109	27	field	field	NOUN
american_scientific_journal-3172	109	28	for	for	ADP
american_scientific_journal-3172	109	29	creating	create	VERB
american_scientific_journal-3172	109	30	spherical	spherical	ADJ
american_scientific_journal-3172	109	31	color	color	NOUN
american_scientific_journal-3172	109	32	charged	charge	VERB
american_scientific_journal-3172	109	33	energy	energy	NOUN
american_scientific_journal-3172	109	34	as	as	ADP
american_scientific_journal-3172	109	35	higgs	higgs	PROPN
american_scientific_journal-3172	109	36	bosons	boson	NOUN
american_scientific_journal-3172	109	37	waves	wave	NOUN
american_scientific_journal-3172	109	38	.	.	PUNCT
american_scientific_journal-3172	110	1	this	this	DET
american_scientific_journal-3172	110	2	real	real	ADJ
american_scientific_journal-3172	110	3	model	model	NOUN
american_scientific_journal-3172	110	4	explains	explain	VERB
american_scientific_journal-3172	110	5	and	and	CCONJ
american_scientific_journal-3172	110	6	predict	predict	VERB
american_scientific_journal-3172	110	7	all	all	DET
american_scientific_journal-3172	110	8	the	the	DET
american_scientific_journal-3172	110	9	physical	physical	ADJ
american_scientific_journal-3172	110	10	interactions	interaction	NOUN
american_scientific_journal-3172	110	11	between	between	ADP
american_scientific_journal-3172	110	12	particles	particle	NOUN
american_scientific_journal-3172	110	13	,	,	PUNCT
american_scientific_journal-3172	110	14	the	the	DET
american_scientific_journal-3172	110	15	proton	proton	NOUN
american_scientific_journal-3172	110	16	radius	radius	NOUN
american_scientific_journal-3172	110	17	and	and	CCONJ
american_scientific_journal-3172	110	18	the	the	DET
american_scientific_journal-3172	110	19	proton	proton	NOUN
american_scientific_journal-3172	110	20	spin	spin	NOUN
american_scientific_journal-3172	110	21	.	.	PUNCT
american_scientific_journal-3172	111	1	it	it	PRON
american_scientific_journal-3172	111	2	's	be	AUX
american_scientific_journal-3172	111	3	able	able	ADJ
american_scientific_journal-3172	111	4	to	to	PART
american_scientific_journal-3172	111	5	change	change	VERB
american_scientific_journal-3172	111	6	the	the	DET
american_scientific_journal-3172	111	7	world	world	NOUN
american_scientific_journal-3172	111	8	vision	vision	NOUN
american_scientific_journal-3172	111	9	of	of	ADP
american_scientific_journal-3172	111	10	the	the	DET
american_scientific_journal-3172	111	11	renewable	renewable	ADJ
american_scientific_journal-3172	111	12	energy	energy	NOUN
american_scientific_journal-3172	111	13	and	and	CCONJ
american_scientific_journal-3172	111	14	the	the	DET
american_scientific_journal-3172	111	15	all	all	DET
american_scientific_journal-3172	111	16	the	the	DET
american_scientific_journal-3172	111	17	energy	energy	NOUN
american_scientific_journal-3172	111	18	industries	industry	NOUN
american_scientific_journal-3172	111	19	in	in	ADP
american_scientific_journal-3172	111	20	the	the	DET
american_scientific_journal-3172	111	21	world	world	NOUN
american_scientific_journal-3172	111	22	;	;	PUNCT
american_scientific_journal-3172	111	23	because	because	SCONJ
american_scientific_journal-3172	111	24	its	its	PRON
american_scientific_journal-3172	111	25	simulate	simulate	VERB
american_scientific_journal-3172	111	26	the	the	DET
american_scientific_journal-3172	111	27	process	process	NOUN
american_scientific_journal-3172	111	28	of	of	ADP
american_scientific_journal-3172	111	29	creating	create	VERB
american_scientific_journal-3172	111	30	an	an	DET
american_scientific_journal-3172	111	31	energy	energy	NOUN
american_scientific_journal-3172	111	32	in	in	ADP
american_scientific_journal-3172	111	33	our	our	PRON
american_scientific_journal-3172	111	34	universe	universe	NOUN
american_scientific_journal-3172	111	35	that	that	SCONJ
american_scientific_journal-3172	111	36	we	we	PRON
american_scientific_journal-3172	111	37	can	can	AUX
american_scientific_journal-3172	111	38	obviously	obviously	ADV
american_scientific_journal-3172	111	39	use	use	VERB
american_scientific_journal-3172	111	40	.	.	PUNCT
american_scientific_journal-3172	112	1	and	and	CCONJ
american_scientific_journal-3172	112	2	show	show	VERB
american_scientific_journal-3172	112	3	us	we	PRON
american_scientific_journal-3172	112	4	the	the	DET
american_scientific_journal-3172	112	5	process	process	NOUN
american_scientific_journal-3172	112	6	of	of	ADP
american_scientific_journal-3172	112	7	creating	create	VERB
american_scientific_journal-3172	112	8	the	the	DET
american_scientific_journal-3172	112	9	hadrons	hadron	NOUN
american_scientific_journal-3172	112	10	which	which	PRON
american_scientific_journal-3172	112	11	are	be	AUX
american_scientific_journal-3172	112	12	the	the	DET
american_scientific_journal-3172	112	13	most	most	ADV
american_scientific_journal-3172	112	14	familiar	familiar	ADJ
american_scientific_journal-3172	112	15	family	family	NOUN
american_scientific_journal-3172	112	16	of	of	ADP
american_scientific_journal-3172	112	17	particles	particle	NOUN
american_scientific_journal-3172	112	18	that	that	PRON
american_scientific_journal-3172	112	19	particles	particle	NOUN
american_scientific_journal-3172	112	20	physics	physics	NOUN
american_scientific_journal-3172	112	21	deal	deal	VERB
american_scientific_journal-3172	112	22	with	with	ADP
american_scientific_journal-3172	112	23	.	.	PUNCT
american_scientific_journal-3172	113	1	a	a	DET
american_scientific_journal-3172	113	2	new	new	ADJ
american_scientific_journal-3172	113	3	concept	concept	NOUN
american_scientific_journal-3172	113	4	will	will	AUX
american_scientific_journal-3172	113	5	help	help	VERB
american_scientific_journal-3172	113	6	us	we	PRON
american_scientific_journal-3172	113	7	improving	improve	VERB
american_scientific_journal-3172	113	8	the	the	DET
american_scientific_journal-3172	113	9	standard	standard	ADJ
american_scientific_journal-3172	113	10	model	model	NOUN
american_scientific_journal-3172	113	11	of	of	ADP
american_scientific_journal-3172	113	12	particle	particle	NOUN
american_scientific_journal-3172	113	13	physics	physic	NOUN
american_scientific_journal-3172	113	14	;	;	PUNCT
american_scientific_journal-3172	113	15	because	because	SCONJ
american_scientific_journal-3172	113	16	it	it	PRON
american_scientific_journal-3172	113	17	's	be	AUX
american_scientific_journal-3172	113	18	solve	solve	VERB
american_scientific_journal-3172	113	19	one	one	NUM
american_scientific_journal-3172	113	20	of	of	ADP
american_scientific_journal-3172	113	21	the	the	DET
american_scientific_journal-3172	113	22	most	most	ADV
american_scientific_journal-3172	113	23	theoretical	theoretical	ADJ
american_scientific_journal-3172	113	24	physics	physics	NOUN
american_scientific_journal-3172	113	25	problems	problem	NOUN
american_scientific_journal-3172	113	26	of	of	ADP
american_scientific_journal-3172	113	27	all	all	DET
american_scientific_journal-3172	113	28	the	the	DET
american_scientific_journal-3172	113	29	time	time	NOUN
american_scientific_journal-3172	113	30	:	:	PUNCT
american_scientific_journal-3172	113	31	the	the	DET
american_scientific_journal-3172	113	32	proton	proton	NOUN
american_scientific_journal-3172	113	33	problem	problem	NOUN
american_scientific_journal-3172	113	34	,	,	PUNCT
american_scientific_journal-3172	113	35	the	the	DET
american_scientific_journal-3172	113	36	proton	proton	NOUN
american_scientific_journal-3172	113	37	spin	spin	NOUN
american_scientific_journal-3172	113	38	crisis	crisis	NOUN
american_scientific_journal-3172	113	39	and	and	CCONJ
american_scientific_journal-3172	113	40	the	the	DET
american_scientific_journal-3172	113	41	behavior	behavior	NOUN
american_scientific_journal-3172	113	42	of	of	ADP
american_scientific_journal-3172	113	43	a	a	DET
american_scientific_journal-3172	113	44	valence	valence	NOUN
american_scientific_journal-3172	113	45	quarks	quarks	NOUN
american_scientific_journal-3172	113	46	.	.	PUNCT
american_scientific_journal-3172	114	1	american	american	ADJ
american_scientific_journal-3172	114	2	scientific	scientific	ADJ
american_scientific_journal-3172	114	3	research	research	PROPN
american_scientific_journal-3172	114	4	journal	journal	NOUN
american_scientific_journal-3172	114	5	for	for	ADP
american_scientific_journal-3172	114	6	engineering	engineering	NOUN
american_scientific_journal-3172	114	7	,	,	PUNCT
american_scientific_journal-3172	114	8	technology	technology	NOUN
american_scientific_journal-3172	114	9	,	,	PUNCT
american_scientific_journal-3172	114	10	and	and	CCONJ
american_scientific_journal-3172	114	11	sciences	science	NOUN
american_scientific_journal-3172	114	12	(	(	PUNCT
american_scientific_journal-3172	114	13	asrjets	asrjet	NOUN
american_scientific_journal-3172	114	14	)	)	PUNCT
american_scientific_journal-3172	114	15	(	(	PUNCT
american_scientific_journal-3172	114	16	2017	2017	NUM
american_scientific_journal-3172	114	17	)	)	PUNCT
american_scientific_journal-3172	114	18	volume	volume	NOUN
american_scientific_journal-3172	114	19	34	34	NUM
american_scientific_journal-3172	114	20	,	,	PUNCT
american_scientific_journal-3172	114	21	no	no	DET
american_scientific_journal-3172	114	22	1	1	NUM
american_scientific_journal-3172	114	23	,	,	PUNCT
american_scientific_journal-3172	114	24	pp	pp	ADV
american_scientific_journal-3172	114	25	114	114	NUM
american_scientific_journal-3172	114	26	-	-	SYM
american_scientific_journal-3172	114	27	122	122	NUM
american_scientific_journal-3172	114	28	122	122	NUM
american_scientific_journal-3172	114	29	4	4	NUM
american_scientific_journal-3172	114	30	.	.	PUNCT
american_scientific_journal-3172	115	1	recommendation	recommendation	NOUN
american_scientific_journal-3172	115	2	this	this	PRON
american_scientific_journal-3172	115	3	is	be	AUX
american_scientific_journal-3172	115	4	a	a	DET
american_scientific_journal-3172	115	5	brand	brand	NOUN
american_scientific_journal-3172	115	6	new	new	ADJ
american_scientific_journal-3172	115	7	discovery	discovery	NOUN
american_scientific_journal-3172	115	8	in	in	ADP
american_scientific_journal-3172	115	9	the	the	DET
american_scientific_journal-3172	115	10	world	world	NOUN
american_scientific_journal-3172	115	11	of	of	ADP
american_scientific_journal-3172	115	12	the	the	DET
american_scientific_journal-3172	115	13	renewable	renewable	ADJ
american_scientific_journal-3172	115	14	energy	energy	NOUN
american_scientific_journal-3172	115	15	;	;	PUNCT
american_scientific_journal-3172	115	16	it	it	PRON
american_scientific_journal-3172	115	17	's	be	AUX
american_scientific_journal-3172	115	18	show	show	VERB
american_scientific_journal-3172	115	19	us	we	PRON
american_scientific_journal-3172	115	20	the	the	DET
american_scientific_journal-3172	115	21	process	process	NOUN
american_scientific_journal-3172	115	22	of	of	ADP
american_scientific_journal-3172	115	23	creating	create	VERB
american_scientific_journal-3172	115	24	energy	energy	NOUN
american_scientific_journal-3172	115	25	that	that	PRON
american_scientific_journal-3172	115	26	the	the	DET
american_scientific_journal-3172	115	27	particles	particle	NOUN
american_scientific_journal-3172	115	28	are	be	AUX
american_scientific_journal-3172	115	29	made	make	VERB
american_scientific_journal-3172	115	30	of	of	ADP
american_scientific_journal-3172	115	31	.	.	PUNCT
american_scientific_journal-3172	116	1	it	it	PRON
american_scientific_journal-3172	116	2	can	can	AUX
american_scientific_journal-3172	116	3	change	change	VERB
american_scientific_journal-3172	116	4	our	our	PRON
american_scientific_journal-3172	116	5	understanding	understanding	NOUN
american_scientific_journal-3172	116	6	about	about	ADP
american_scientific_journal-3172	116	7	the	the	DET
american_scientific_journal-3172	116	8	energy	energy	NOUN
american_scientific_journal-3172	116	9	in	in	ADP
american_scientific_journal-3172	116	10	the	the	DET
american_scientific_journal-3172	116	11	future	future	NOUN
american_scientific_journal-3172	116	12	by	by	ADP
american_scientific_journal-3172	116	13	controlling	control	VERB
american_scientific_journal-3172	116	14	the	the	DET
american_scientific_journal-3172	116	15	process	process	NOUN
american_scientific_journal-3172	116	16	of	of	ADP
american_scientific_journal-3172	116	17	creating	create	VERB
american_scientific_journal-3172	116	18	the	the	DET
american_scientific_journal-3172	116	19	existence	existence	NOUN
american_scientific_journal-3172	116	20	itself	itself	PRON
american_scientific_journal-3172	116	21	.	.	PUNCT
american_scientific_journal-3172	117	1	and	and	CCONJ
american_scientific_journal-3172	117	2	also	also	ADV
american_scientific_journal-3172	117	3	help	help	VERB
american_scientific_journal-3172	117	4	us	we	PRON
american_scientific_journal-3172	117	5	to	to	PART
american_scientific_journal-3172	117	6	solve	solve	VERB
american_scientific_journal-3172	117	7	most	most	ADJ
american_scientific_journal-3172	117	8	of	of	ADP
american_scientific_journal-3172	117	9	the	the	DET
american_scientific_journal-3172	117	10	mysterious	mysterious	ADJ
american_scientific_journal-3172	117	11	problem	problem	NOUN
american_scientific_journal-3172	117	12	in	in	ADP
american_scientific_journal-3172	117	13	theoretical	theoretical	ADJ
american_scientific_journal-3172	117	14	physics	physics	NOUN
american_scientific_journal-3172	117	15	.	.	PUNCT
american_scientific_journal-3172	118	1	using	use	VERB
american_scientific_journal-3172	118	2	this	this	DET
american_scientific_journal-3172	118	3	research	research	NOUN
american_scientific_journal-3172	118	4	as	as	ADP
american_scientific_journal-3172	118	5	a	a	DET
american_scientific_journal-3172	118	6	brand	brand	NOUN
american_scientific_journal-3172	118	7	new	new	ADJ
american_scientific_journal-3172	118	8	gate	gate	NOUN
american_scientific_journal-3172	118	9	to	to	ADP
american_scientific_journal-3172	118	10	a	a	DET
american_scientific_journal-3172	118	11	new	new	ADJ
american_scientific_journal-3172	118	12	theoretical	theoretical	ADJ
american_scientific_journal-3172	118	13	&	&	CCONJ
american_scientific_journal-3172	118	14	industrial	industrial	ADJ
american_scientific_journal-3172	118	15	physics	physics	NOUN
american_scientific_journal-3172	118	16	will	will	AUX
american_scientific_journal-3172	118	17	help	help	VERB
american_scientific_journal-3172	118	18	the	the	DET
american_scientific_journal-3172	118	19	world	world	NOUN
american_scientific_journal-3172	118	20	.	.	PUNCT
american_scientific_journal-3172	119	1	its	its	PRON
american_scientific_journal-3172	119	2	open	open	ADJ
american_scientific_journal-3172	119	3	a	a	DET
american_scientific_journal-3172	119	4	new	new	ADJ
american_scientific_journal-3172	119	5	gates	gate	NOUN
american_scientific_journal-3172	119	6	in	in	ADP
american_scientific_journal-3172	119	7	physics	physics	NOUN
american_scientific_journal-3172	119	8	,	,	PUNCT
american_scientific_journal-3172	119	9	engineering	engineering	NOUN
american_scientific_journal-3172	119	10	and	and	CCONJ
american_scientific_journal-3172	119	11	a	a	DET
american_scientific_journal-3172	119	12	lot	lot	NOUN
american_scientific_journal-3172	119	13	of	of	ADP
american_scientific_journal-3172	119	14	applied	applied	ADJ
american_scientific_journal-3172	119	15	sciences	science	NOUN
american_scientific_journal-3172	119	16	.	.	PUNCT
american_scientific_journal-3172	120	1	and	and	CCONJ
american_scientific_journal-3172	120	2	also	also	ADV
american_scientific_journal-3172	120	3	this	this	DET
american_scientific_journal-3172	120	4	module	module	NOUN
american_scientific_journal-3172	120	5	which	which	PRON
american_scientific_journal-3172	120	6	give	give	VERB
american_scientific_journal-3172	120	7	us	we	PRON
american_scientific_journal-3172	120	8	a	a	DET
american_scientific_journal-3172	120	9	lots	lot	NOUN
american_scientific_journal-3172	120	10	of	of	ADP
american_scientific_journal-3172	120	11	facts	fact	NOUN
american_scientific_journal-3172	120	12	about	about	ADP
american_scientific_journal-3172	120	13	the	the	DET
american_scientific_journal-3172	120	14	behavior	behavior	NOUN
american_scientific_journal-3172	120	15	of	of	ADP
american_scientific_journal-3172	120	16	the	the	DET
american_scientific_journal-3172	120	17	quarks	quarks	NOUN
american_scientific_journal-3172	120	18	give	give	VERB
american_scientific_journal-3172	120	19	us	we	PRON
american_scientific_journal-3172	120	20	the	the	DET
american_scientific_journal-3172	120	21	opportunity	opportunity	NOUN
american_scientific_journal-3172	120	22	to	to	PART
american_scientific_journal-3172	120	23	simulate	simulate	VERB
american_scientific_journal-3172	120	24	the	the	DET
american_scientific_journal-3172	120	25	whole	whole	ADJ
american_scientific_journal-3172	120	26	existence	existence	NOUN
american_scientific_journal-3172	120	27	by	by	ADP
american_scientific_journal-3172	120	28	the	the	DET
american_scientific_journal-3172	120	29	basics	basic	NOUN
american_scientific_journal-3172	120	30	of	of	ADP
american_scientific_journal-3172	120	31	mathematics	mathematic	NOUN
american_scientific_journal-3172	120	32	starting	start	VERB
american_scientific_journal-3172	120	33	from	from	ADP
american_scientific_journal-3172	120	34	this	this	DET
american_scientific_journal-3172	120	35	model	model	NOUN
american_scientific_journal-3172	120	36	and	and	CCONJ
american_scientific_journal-3172	120	37	that	that	SCONJ
american_scientific_journal-3172	120	38	obviously	obviously	ADV
american_scientific_journal-3172	120	39	help	help	VERB
american_scientific_journal-3172	120	40	us	we	PRON
american_scientific_journal-3172	120	41	to	to	PART
american_scientific_journal-3172	120	42	explain	explain	VERB
american_scientific_journal-3172	120	43	,	,	PUNCT
american_scientific_journal-3172	120	44	predict	predict	VERB
american_scientific_journal-3172	120	45	and	and	CCONJ
american_scientific_journal-3172	120	46	control	control	VERB
american_scientific_journal-3172	120	47	chemical	chemical	ADJ
american_scientific_journal-3172	120	48	reactions	reaction	NOUN
american_scientific_journal-3172	120	49	in	in	ADP
american_scientific_journal-3172	120	50	the	the	DET
american_scientific_journal-3172	120	51	nature	nature	NOUN
american_scientific_journal-3172	120	52	&	&	CCONJ
american_scientific_journal-3172	120	53	human	human	ADJ
american_scientific_journal-3172	120	54	body	body	NOUN
american_scientific_journal-3172	120	55	and	and	CCONJ
american_scientific_journal-3172	120	56	the	the	DET
american_scientific_journal-3172	120	57	shapes	shape	NOUN
american_scientific_journal-3172	120	58	of	of	ADP
american_scientific_journal-3172	120	59	the	the	DET
american_scientific_journal-3172	120	60	existence	existence	NOUN
american_scientific_journal-3172	120	61	in	in	ADP
american_scientific_journal-3172	120	62	the	the	DET
american_scientific_journal-3172	120	63	universe	universe	NOUN
american_scientific_journal-3172	120	64	.	.	PUNCT
american_scientific_journal-3172	121	1	references	reference	NOUN
american_scientific_journal-3172	121	2	[	[	X
american_scientific_journal-3172	121	3	1	1	X
american_scientific_journal-3172	121	4	]	]	PUNCT
american_scientific_journal-3172	121	5	j.	j.	PROPN
american_scientific_journal-3172	121	6	j.	j.	PROPN
american_scientific_journal-3172	121	7	krauth,1,2	krauth,1,2	PROPN
american_scientific_journal-3172	121	8	k.	k.	PROPN
american_scientific_journal-3172	121	9	schuhmann,3,4,5	schuhmann,3,4,5	VERB
american_scientific_journal-3172	121	10	m.	m.	PROPN
american_scientific_journal-3172	121	11	abdou	abdou	PROPN
american_scientific_journal-3172	121	12	ahmed,6	ahmed,6	PROPN
american_scientific_journal-3172	121	13	f.	f.	PROPN
american_scientific_journal-3172	121	14	d.	d.	PROPN
american_scientific_journal-3172	121	15	amaro,7	amaro,7	PROPN
american_scientific_journal-3172	121	16	p.	p.	PROPN
american_scientific_journal-3172	121	17	amaro,8	amaro,8	PROPN
american_scientific_journal-3172	122	1	f.	f.	PROPN
american_scientific_journal-3172	122	2	biraben,9	biraben,9	NOUN
american_scientific_journal-3172	122	3	j.	j.	PROPN
american_scientific_journal-3172	122	4	m.	m.	PROPN
american_scientific_journal-3172	122	5	r.	r.	PROPN
american_scientific_journal-3172	122	6	cardoso,7	cardoso,7	NOUN
american_scientific_journal-3172	122	7	m.	m.	NOUN
american_scientific_journal-3172	122	8	l.	l.	PROPN
american_scientific_journal-3172	122	9	carvalho,8	carvalho,8	PROPN
american_scientific_journal-3172	122	10	d.	d.	PROPN
american_scientific_journal-3172	122	11	s.	s.	PROPN
american_scientific_journal-3172	122	12	covita,10	covita,10	VERB
american_scientific_journal-3172	122	13	a.	a.	PROPN
american_scientific_journal-3172	122	14	dax,11,4	dax,11,4	PROPN
american_scientific_journal-3172	122	15	s.	s.	PROPN
american_scientific_journal-3172	122	16	dhawan,11	dhawan,11	PROPN
american_scientific_journal-3172	123	1	m.	m.	PROPN
american_scientific_journal-3172	123	2	diepold,1	diepold,1	PROPN
american_scientific_journal-3172	123	3	l.	l.	PROPN
american_scientific_journal-3172	123	4	m.	m.	PROPN
american_scientific_journal-3172	123	5	p.	p.	PROPN
american_scientific_journal-3172	123	6	fernandes,7	fernandes,7	PROPN
american_scientific_journal-3172	123	7	b.	b.	PROPN
american_scientific_journal-3172	123	8	franke,1	franke,1	NOUN
american_scientific_journal-3172	123	9	s.	s.	PROPN
american_scientific_journal-3172	123	10	galtier,9	galtier,9	PROPN
american_scientific_journal-3172	123	11	a.	a.	PROPN
american_scientific_journal-3172	123	12	giesen,6,5	giesen,6,5	PROPN
american_scientific_journal-3172	123	13	a.	a.	PROPN
american_scientific_journal-3172	123	14	l.	l.	PROPN
american_scientific_journal-3172	123	15	gouvea,7	gouvea,7	PROPN
american_scientific_journal-3172	124	1	j.	j.	PROPN
american_scientific_journal-3172	124	2	go	go	VERB
american_scientific_journal-3172	124	3	̈tzfried,1	̈tzfried,1	PROPN
american_scientific_journal-3172	124	4	t.	t.	PROPN
american_scientific_journal-3172	124	5	graf,6	graf,6	PROPN
american_scientific_journal-3172	124	6	m.	m.	PROPN
american_scientific_journal-3172	124	7	guerra,8	guerra,8	PROPN
american_scientific_journal-3172	124	8	j.	j.	PROPN
american_scientific_journal-3172	124	9	haack,2	haack,2	PROPN
american_scientific_journal-3172	124	10	t.	t.	PROPN
american_scientific_journal-3172	124	11	w.	w.	PROPN
american_scientific_journal-3172	124	12	ha	ha	PROPN
american_scientific_journal-3172	124	13	̈nsch,1	̈nsch,1	PROPN
american_scientific_journal-3172	124	14	m.	m.	NOUN
american_scientific_journal-3172	124	15	hildebrandt,4	hildebrandt,4	NOUN
american_scientific_journal-3172	124	16	p.	p.	PROPN
american_scientific_journal-3172	124	17	indelicato,9	indelicato,9	NOUN
american_scientific_journal-3172	124	18	.	.	PUNCT
american_scientific_journal-3172	125	1	"	"	PUNCT
american_scientific_journal-3172	125	2	the	the	DET
american_scientific_journal-3172	125	3	proton	proton	NOUN
american_scientific_journal-3172	125	4	radius	radius	NOUN
american_scientific_journal-3172	125	5	puzzle	puzzle	NOUN
american_scientific_journal-3172	125	6	"	"	PUNCT
american_scientific_journal-3172	125	7	internet	internet	NOUN
american_scientific_journal-3172	125	8	:	:	PUNCT
american_scientific_journal-3172	125	9	https://arxiv.org/pdf/1706.00696.pdf	https://arxiv.org/pdf/1706.00696.pdf	PROPN
american_scientific_journal-3172	125	10	jun	jun	PROPN
american_scientific_journal-3172	125	11	.	.	PROPN
american_scientific_journal-3172	126	1	2,2017	2,2017	PROPN
american_scientific_journal-3172	126	2	[	[	X
american_scientific_journal-3172	126	3	jun	jun	PROPN
american_scientific_journal-3172	126	4	.	.	PROPN
american_scientific_journal-3172	126	5	8	8	NUM
american_scientific_journal-3172	126	6	,	,	PUNCT
american_scientific_journal-3172	126	7	2017	2017	NUM
american_scientific_journal-3172	126	8	]	]	PUNCT
american_scientific_journal-3172	127	1	[	[	X
american_scientific_journal-3172	127	2	2	2	NUM
american_scientific_journal-3172	127	3	]	]	PUNCT
american_scientific_journal-3172	127	4	l.	l.	PROPN
american_scientific_journal-3172	127	5	julien,9	julien,9	PROPN
american_scientific_journal-3172	127	6	k.	k.	PROPN
american_scientific_journal-3172	128	1	kirch,3,4	kirch,3,4	PROPN
american_scientific_journal-3172	128	2	a.	a.	NOUN
american_scientific_journal-3172	128	3	knecht,4	knecht,4	PROPN
american_scientific_journal-3172	128	4	p.	p.	PROPN
american_scientific_journal-3172	128	5	knowles,12	knowles,12	PROPN
american_scientific_journal-3172	128	6	f.	f.	PROPN
american_scientific_journal-3172	128	7	kottmann,3	kottmann,3	PROPN
american_scientific_journal-3172	128	8	e.-o	e.-o	PROPN
american_scientific_journal-3172	128	9	.	.	PUNCT
american_scientific_journal-3172	129	1	le	le	PROPN
american_scientific_journal-3172	129	2	bigot,9	bigot,9	PROPN
american_scientific_journal-3172	129	3	y.-w	y.-w	PROPN
american_scientific_journal-3172	129	4	.	.	PUNCT
american_scientific_journal-3172	130	1	liu,13	liu,13	PROPN
american_scientific_journal-3172	130	2	j.	j.	PROPN
american_scientific_journal-3172	130	3	a.	a.	PROPN
american_scientific_journal-3172	130	4	m.	m.	PROPN
american_scientific_journal-3172	130	5	lopes,7	lopes,7	PROPN
american_scientific_journal-3172	130	6	l.	l.	PROPN
american_scientific_journal-3172	130	7	ludhova,12	ludhova,12	PROPN
american_scientific_journal-3172	130	8	j.	j.	PROPN
american_scientific_journal-3172	130	9	machado,8	machado,8	PROPN
american_scientific_journal-3172	130	10	c.	c.	PROPN
american_scientific_journal-3172	130	11	m.	m.	PROPN
american_scientific_journal-3172	130	12	b.	b.	PROPN
american_scientific_journal-3172	130	13	monteiro,7	monteiro,7	PROPN
american_scientific_journal-3172	130	14	f.	f.	PROPN
american_scientific_journal-3172	130	15	mulhauser,12,1	mulhauser,12,1	PROPN
american_scientific_journal-3172	130	16	t.	t.	PROPN
american_scientific_journal-3172	130	17	nebel,1	nebel,1	PROPN
american_scientific_journal-3172	130	18	f.	f.	PROPN
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american_scientific_journal-3172	131	1	e.	e.	PROPN
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american_scientific_journal-3172	132	1	j.	j.	PROPN
american_scientific_journal-3172	132	2	m.	m.	PROPN
american_scientific_journal-3172	132	3	f.	f.	PROPN
american_scientific_journal-3172	132	4	dos	dos	PROPN
american_scientific_journal-3172	132	5	santos,7	santos,7	VERB
american_scientific_journal-3172	132	6	j.	j.	PROPN
american_scientific_journal-3172	132	7	p.	p.	PROPN
american_scientific_journal-3172	132	8	santos,8	santos,8	VERB
american_scientific_journal-3172	132	9	l.	l.	PROPN
american_scientific_journal-3172	132	10	a.	a.	PROPN
american_scientific_journal-3172	132	11	schaller,12	schaller,12	PROPN
american_scientific_journal-3172	132	12	c.	c.	PROPN
american_scientific_journal-3172	132	13	schwob,9	schwob,9	VERB
american_scientific_journal-3172	132	14	c.	c.	PROPN
american_scientific_journal-3172	132	15	i.	i.	PROPN
american_scientific_journal-3172	132	16	szabo,9	szabo,9	PROPN
american_scientific_journal-3172	132	17	d.	d.	PROPN
american_scientific_journal-3172	132	18	taqqu,4	taqqu,4	PROPN
american_scientific_journal-3172	132	19	j.	j.	PROPN
american_scientific_journal-3172	132	20	f.	f.	PROPN
american_scientific_journal-3172	132	21	c.	c.	PROPN
american_scientific_journal-3172	132	22	a.	a.	PROPN
american_scientific_journal-3172	132	23	veloso,10	veloso,10	PROPN
american_scientific_journal-3172	132	24	a.	a.	PROPN
american_scientific_journal-3172	132	25	voss,6	voss,6	PROPN
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american_scientific_journal-3172	132	27	weichelt,6	weichelt,6	NOUN
american_scientific_journal-3172	132	28	m.	m.	NOUN
american_scientific_journal-3172	132	29	willig,2	willig,2	PROPN
american_scientific_journal-3172	132	30	r.	r.	PROPN
american_scientific_journal-3172	132	31	pohl,1,2	pohl,1,2	PROPN
american_scientific_journal-3172	132	32	and	and	CCONJ
american_scientific_journal-3172	132	33	a.	a.	PROPN
american_scientific_journal-3172	132	34	antognini1,3,4,a	antognini1,3,4,a	PROPN
american_scientific_journal-3172	132	35	.	.	PUNCT
american_scientific_journal-3172	133	1	"	"	PUNCT
american_scientific_journal-3172	133	2	the	the	DET
american_scientific_journal-3172	133	3	proton	proton	NOUN
american_scientific_journal-3172	133	4	radius	radius	NOUN
american_scientific_journal-3172	133	5	puzzle	puzzle	NOUN
american_scientific_journal-3172	133	6	"	"	PUNCT
american_scientific_journal-3172	133	7	internet	internet	NOUN
american_scientific_journal-3172	133	8	:	:	PUNCT
american_scientific_journal-3172	133	9	https://arxiv.org/pdf/1706.00696.pdf	https://arxiv.org/pdf/1706.00696.pdf	PROPN
american_scientific_journal-3172	133	10	jun	jun	PROPN
american_scientific_journal-3172	133	11	.	.	PROPN
american_scientific_journal-3172	134	1	2,2017	2,2017	PROPN
american_scientific_journal-3172	134	2	[	[	X
american_scientific_journal-3172	134	3	jun	jun	PROPN
american_scientific_journal-3172	134	4	.	.	PROPN
american_scientific_journal-3172	134	5	8	8	NUM
american_scientific_journal-3172	134	6	,	,	PUNCT
american_scientific_journal-3172	134	7	2017	2017	NUM
american_scientific_journal-3172	134	8	]	]	PUNCT
american_scientific_journal-3172	135	1	[	[	X
american_scientific_journal-3172	135	2	3	3	NUM
american_scientific_journal-3172	135	3	]	]	X
american_scientific_journal-3172	135	4	p.r	p.r	PROPN
american_scientific_journal-3172	135	5	.	.	PROPN
american_scientific_journal-3172	135	6	silva	silva	PROPN
american_scientific_journal-3172	135	7	.	.	PUNCT
american_scientific_journal-3172	136	1	"	"	PUNCT
american_scientific_journal-3172	136	2	analysis	analysis	NOUN
american_scientific_journal-3172	136	3	of	of	ADP
american_scientific_journal-3172	136	4	the	the	DET
american_scientific_journal-3172	136	5	mass	mass	ADJ
american_scientific_journal-3172	136	6	structure	structure	NOUN
american_scientific_journal-3172	136	7	of	of	ADP
american_scientific_journal-3172	136	8	the	the	DET
american_scientific_journal-3172	136	9	hadrons	hadron	NOUN
american_scientific_journal-3172	136	10	"	"	PUNCT
american_scientific_journal-3172	136	11	internet	internet	NOUN
american_scientific_journal-3172	136	12	:	:	PUNCT
american_scientific_journal-3172	136	13	https://arxiv.org/abs/1108.2073	https://arxiv.org/abs/1108.2073	NOUN
american_scientific_journal-3172	136	14	aug	aug	PROPN
american_scientific_journal-3172	136	15	.	.	PROPN
american_scientific_journal-3172	136	16	10	10	NUM
american_scientific_journal-3172	136	17	,	,	PUNCT
american_scientific_journal-3172	136	18	2011	2011	NUM
american_scientific_journal-3172	137	1	[	[	X
american_scientific_journal-3172	137	2	may	may	AUX
american_scientific_journal-3172	137	3	.	.	PUNCT
american_scientific_journal-3172	137	4	2	2	NUM
american_scientific_journal-3172	137	5	,	,	PUNCT
american_scientific_journal-3172	137	6	2017	2017	NUM
american_scientific_journal-3172	137	7	]	]	PUNCT
american_scientific_journal-3172	138	1	[	[	X
american_scientific_journal-3172	138	2	4	4	NUM
american_scientific_journal-3172	138	3	]	]	X
american_scientific_journal-3172	138	4	veritasium	veritasium	NOUN
american_scientific_journal-3172	138	5	,	,	PUNCT
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american_scientific_journal-3172	138	7	.	.	PUNCT
american_scientific_journal-3172	139	1	derek	derek	PROPN
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american_scientific_journal-3172	139	3	.	.	PUNCT
american_scientific_journal-3172	140	1	"	"	PUNCT
american_scientific_journal-3172	140	2	your	your	PRON
american_scientific_journal-3172	140	3	mass	mass	NOUN
american_scientific_journal-3172	140	4	is	be	AUX
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american_scientific_journal-3172	140	6	from	from	ADP
american_scientific_journal-3172	140	7	the	the	DET
american_scientific_journal-3172	140	8	higgs	higgs	PROPN
american_scientific_journal-3172	140	9	boson	boson	PROPN
american_scientific_journal-3172	140	10	"	"	PUNCT
american_scientific_journal-3172	140	11	internet	internet	NOUN
american_scientific_journal-3172	140	12	:	:	PUNCT
american_scientific_journal-3172	140	13	https://m.youtube.com/watch?v=ztc6qpnuqls	https://m.youtube.com/watch?v=ztc6qpnuqls	NOUN
american_scientific_journal-3172	140	14	may	may	AUX
american_scientific_journal-3172	140	15	.	.	PUNCT
american_scientific_journal-3172	141	1	8	8	NUM
american_scientific_journal-3172	141	2	,	,	PUNCT
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american_scientific_journal-3172	142	1	[	[	X
american_scientific_journal-3172	142	2	jun	jun	PROPN
american_scientific_journal-3172	142	3	.	.	PROPN
american_scientific_journal-3172	142	4	10,2017	10,2017	NUM
american_scientific_journal-3172	142	5	]	]	PUNCT
american_scientific_journal-3172	143	1	[	[	X
american_scientific_journal-3172	143	2	5	5	NUM
american_scientific_journal-3172	143	3	]	]	PUNCT
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american_scientific_journal-3172	143	5	.	.	PUNCT
american_scientific_journal-3172	144	1	"	"	PUNCT
american_scientific_journal-3172	144	2	properties	property	NOUN
american_scientific_journal-3172	144	3	of	of	ADP
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american_scientific_journal-3172	144	5	"	"	PUNCT
american_scientific_journal-3172	144	6	internet	internet	NOUN
american_scientific_journal-3172	144	7	:	:	PUNCT
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american_scientific_journal-3172	144	9	jan	jan	PROPN
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american_scientific_journal-3172	144	12	[	[	PUNCT
american_scientific_journal-3172	144	13	may	may	PROPN
american_scientific_journal-3172	144	14	.	.	PUNCT
american_scientific_journal-3172	145	1	15,2017	15,2017	NUM
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american_scientific_journal-3172	146	1	[	[	X
american_scientific_journal-3172	146	2	6	6	NUM
american_scientific_journal-3172	146	3	]	]	X
american_scientific_journal-3172	146	4	marcela	marcela	PROPN
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american_scientific_journal-3172	146	6	.	.	PUNCT
american_scientific_journal-3172	147	1	"	"	PUNCT
american_scientific_journal-3172	147	2	lectures	lecture	NOUN
american_scientific_journal-3172	147	3	on	on	ADP
american_scientific_journal-3172	147	4	higgs	higgs	PROPN
american_scientific_journal-3172	147	5	boson	boson	PROPN
american_scientific_journal-3172	147	6	physics	physics	PROPN
american_scientific_journal-3172	147	7	the	the	DET
american_scientific_journal-3172	147	8	standard	standard	ADJ
american_scientific_journal-3172	147	9	model	model	NOUN
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american_scientific_journal-3172	147	12	"	"	PUNCT
american_scientific_journal-3172	147	13	internet	internet	NOUN
american_scientific_journal-3172	147	14	:	:	PUNCT
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american_scientific_journal-3172	147	16	/	/	SYM
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american_scientific_journal-3172	147	18	/	/	SYM
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american_scientific_journal-3172	147	22	/	/	SYM
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american_scientific_journal-3172	147	24	:	:	PUNCT
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american_scientific_journal-3172	147	26	:	:	PUNCT
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american_scientific_journal-3172	147	28	aug	aug	PROPN
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american_scientific_journal-3172	147	30	18	18	NUM
american_scientific_journal-3172	147	31	,	,	PUNCT
american_scientific_journal-3172	147	32	2015	2015	NUM
american_scientific_journal-3172	147	33	[	[	X
american_scientific_journal-3172	147	34	may	may	AUX
american_scientific_journal-3172	147	35	.	.	PUNCT
american_scientific_journal-3172	148	1	23	23	NUM
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american_scientific_journal-3172	148	3	]	]	PUNCT
american_scientific_journal-3172	149	1	[	[	X
american_scientific_journal-3172	149	2	7	7	NUM
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american_scientific_journal-3172	149	4	jerzy	jerzy	PROPN
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american_scientific_journal-3172	149	7	.	.	PUNCT
american_scientific_journal-3172	150	1	"	"	PUNCT
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american_scientific_journal-3172	150	5	to	to	PART
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american_scientific_journal-3172	150	10	"	"	PUNCT
american_scientific_journal-3172	150	11	internet	internet	NOUN
american_scientific_journal-3172	150	12	:	:	PUNCT
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american_scientific_journal-3172	150	17	,	,	PUNCT
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american_scientific_journal-3172	150	25	]	]	PUNCT
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american_scientific_journal-3172	151	2	8	8	NUM
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american_scientific_journal-3172	151	5	.	.	PUNCT
american_scientific_journal-3172	152	1	"	"	PUNCT
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american_scientific_journal-3172	152	3	:	:	PUNCT
american_scientific_journal-3172	152	4	how	how	SCONJ
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american_scientific_journal-3172	152	10	"	"	PUNCT
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american_scientific_journal-3172	152	12	:	:	PUNCT
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american_scientific_journal-3172	153	1	16	16	NUM
american_scientific_journal-3172	153	2	,	,	PUNCT
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american_scientific_journal-3172	154	1	[	[	X
american_scientific_journal-3172	154	2	may	may	AUX
american_scientific_journal-3172	154	3	.	.	PUNCT
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american_scientific_journal-3172	155	2	]	]	X
american_scientific_journal-3172	155	3	https://arxiv.org/pdf/1706.00696.pdf	https://arxiv.org/pdf/1706.00696.pdf	PROPN
american_scientific_journal-3172	155	4	https://arxiv.org/pdf/1706.00696.pdf	https://arxiv.org/pdf/1706.00696.pdf	PROPN
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american_scientific_journal-3172	155	8	http://particle.physics.ucdavis.edu/seminars/lib/exe/fetch.php?media=2015:aug:carena.pdf	http://particle.physics.ucdavis.edu/seminars/lib/exe/fetch.php?media=2015:aug:carena.pdf	NOUN
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