id	sid	tid	token	lemma	pos
ap-1953	1	1	acta	acta	PROPN
ap-1953	1	2	polytechnica	polytechnica	PROPN
ap-1953	1	3	doi:10.14311	doi:10.14311	PROPN
ap-1953	1	4	/	/	SYM
ap-1953	1	5	ap.2013.53.0703	ap.2013.53.0703	PROPN
ap-1953	1	6	acta	acta	PROPN
ap-1953	1	7	polytechnica	polytechnica	PROPN
ap-1953	1	8	53(supplement):703–706	53(supplement):703–706	NUM
ap-1953	1	9	,	,	PUNCT
ap-1953	1	10	2013	2013	NUM
ap-1953	1	11	©	©	PROPN
ap-1953	1	12	czech	czech	PROPN
ap-1953	1	13	technical	technical	PROPN
ap-1953	1	14	university	university	PROPN
ap-1953	1	15	in	in	ADP
ap-1953	1	16	prague	prague	PROPN
ap-1953	1	17	,	,	PUNCT
ap-1953	1	18	2013	2013	NUM
ap-1953	1	19	available	available	ADJ
ap-1953	1	20	online	online	ADV
ap-1953	1	21	at	at	ADP
ap-1953	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	ADJ
ap-1953	1	23	computational	computational	ADJ
ap-1953	1	24	schemes	scheme	NOUN
ap-1953	1	25	for	for	ADP
ap-1953	1	26	the	the	DET
ap-1953	1	27	propagation	propagation	NOUN
ap-1953	1	28	of	of	ADP
ap-1953	1	29	ultra	ultra	ADJ
ap-1953	1	30	high	high	ADJ
ap-1953	1	31	energy	energy	NOUN
ap-1953	1	32	cosmic	cosmic	ADJ
ap-1953	1	33	rays	ray	NOUN
ap-1953	1	34	roberto	roberto	PROPN
ap-1953	1	35	aloisioa	aloisioa	PROPN
ap-1953	1	36	,	,	PUNCT
ap-1953	1	37	b,∗	b,∗	PROPN
ap-1953	1	38	a	a	DET
ap-1953	1	39	inaf	inaf	NOUN
ap-1953	1	40	,	,	PUNCT
ap-1953	1	41	osservatorio	osservatorio	PROPN
ap-1953	1	42	astrofisico	astrofisico	PROPN
ap-1953	1	43	arcetri	arcetri	NOUN
ap-1953	1	44	,	,	PUNCT
ap-1953	1	45	i-50125	i-50125	PROPN
ap-1953	1	46	arcetri	arcetri	NOUN
ap-1953	1	47	(	(	PUNCT
ap-1953	1	48	firenze	firenze	PROPN
ap-1953	1	49	)	)	PUNCT
ap-1953	1	50	italy	italy	PROPN
ap-1953	1	51	b	b	PROPN
ap-1953	1	52	infn	infn	PROPN
ap-1953	1	53	,	,	PUNCT
ap-1953	1	54	laboratori	laboratori	PROPN
ap-1953	1	55	nazionali	nazionali	PROPN
ap-1953	1	56	del	del	PROPN
ap-1953	1	57	gran	gran	PROPN
ap-1953	1	58	sasso	sasso	PROPN
ap-1953	1	59	,	,	PUNCT
ap-1953	1	60	i-67010	i-67010	ADJ
ap-1953	1	61	assergi	assergi	NOUN
ap-1953	1	62	(	(	PUNCT
ap-1953	1	63	l’aquila	l’aquila	PROPN
ap-1953	1	64	)	)	PUNCT
ap-1953	1	65	italy	italy	PROPN
ap-1953	1	66	∗	∗	VERB
ap-1953	1	67	corresponding	correspond	VERB
ap-1953	1	68	author	author	NOUN
ap-1953	1	69	:	:	PUNCT
ap-1953	1	70	aloisio@arcetri.astro.it	aloisio@arcetri.astro.it	X
ap-1953	1	71	abstract	abstract	ADJ
ap-1953	1	72	.	.	PUNCT
ap-1953	2	1	we	we	PRON
ap-1953	2	2	discuss	discuss	VERB
ap-1953	2	3	the	the	DET
ap-1953	2	4	problem	problem	NOUN
ap-1953	2	5	of	of	ADP
ap-1953	2	6	ultra	ultra	ADJ
ap-1953	2	7	high	high	ADJ
ap-1953	2	8	energy	energy	NOUN
ap-1953	2	9	particles	particle	NOUN
ap-1953	2	10	propagation	propagation	NOUN
ap-1953	2	11	in	in	ADP
ap-1953	2	12	astrophysical	astrophysical	ADJ
ap-1953	2	13	backgrounds	background	NOUN
ap-1953	2	14	.	.	PUNCT
ap-1953	3	1	we	we	PRON
ap-1953	3	2	present	present	VERB
ap-1953	3	3	two	two	NUM
ap-1953	3	4	different	different	ADJ
ap-1953	3	5	computational	computational	ADJ
ap-1953	3	6	schemes	scheme	NOUN
ap-1953	3	7	based	base	VERB
ap-1953	3	8	on	on	ADP
ap-1953	3	9	kinetic	kinetic	NOUN
ap-1953	3	10	and	and	CCONJ
ap-1953	3	11	monte	monte	PROPN
ap-1953	3	12	carlo	carlo	PROPN
ap-1953	3	13	approaches	approach	NOUN
ap-1953	3	14	.	.	PUNCT
ap-1953	4	1	the	the	DET
ap-1953	4	2	kinetic	kinetic	ADJ
ap-1953	4	3	approach	approach	NOUN
ap-1953	4	4	is	be	AUX
ap-1953	4	5	an	an	DET
ap-1953	4	6	analytical	analytical	ADJ
ap-1953	4	7	computation	computation	NOUN
ap-1953	4	8	scheme	scheme	NOUN
ap-1953	4	9	based	base	VERB
ap-1953	4	10	on	on	ADP
ap-1953	4	11	the	the	DET
ap-1953	4	12	hypothesis	hypothesis	NOUN
ap-1953	4	13	of	of	ADP
ap-1953	4	14	continuos	continuo	VERB
ap-1953	4	15	energy	energy	NOUN
ap-1953	4	16	losses	loss	NOUN
ap-1953	4	17	while	while	SCONJ
ap-1953	4	18	the	the	DET
ap-1953	4	19	monte	monte	PROPN
ap-1953	4	20	carlo	carlo	PROPN
ap-1953	4	21	scheme	scheme	NOUN
ap-1953	4	22	takes	take	VERB
ap-1953	4	23	into	into	ADP
ap-1953	4	24	account	account	NOUN
ap-1953	4	25	also	also	ADV
ap-1953	4	26	the	the	DET
ap-1953	4	27	stochastic	stochastic	ADJ
ap-1953	4	28	nature	nature	NOUN
ap-1953	4	29	of	of	ADP
ap-1953	4	30	particle	particle	NOUN
ap-1953	4	31	interactions	interaction	NOUN
ap-1953	4	32	.	.	PUNCT
ap-1953	5	1	these	these	DET
ap-1953	5	2	schemes	scheme	NOUN
ap-1953	5	3	,	,	PUNCT
ap-1953	5	4	which	which	PRON
ap-1953	5	5	give	give	VERB
ap-1953	5	6	quite	quite	ADV
ap-1953	5	7	reliable	reliable	ADJ
ap-1953	5	8	results	result	NOUN
ap-1953	5	9	,	,	PUNCT
ap-1953	5	10	enable	enable	VERB
ap-1953	5	11	the	the	DET
ap-1953	5	12	computation	computation	NOUN
ap-1953	5	13	of	of	ADP
ap-1953	5	14	fluxes	flux	NOUN
ap-1953	5	15	keeping	keep	VERB
ap-1953	5	16	track	track	NOUN
ap-1953	5	17	of	of	ADP
ap-1953	5	18	the	the	DET
ap-1953	5	19	different	different	ADJ
ap-1953	5	20	primary	primary	ADJ
ap-1953	5	21	and	and	CCONJ
ap-1953	5	22	secondary	secondary	ADJ
ap-1953	5	23	components	component	NOUN
ap-1953	5	24	,	,	PUNCT
ap-1953	5	25	providing	provide	VERB
ap-1953	5	26	a	a	DET
ap-1953	5	27	fast	fast	ADJ
ap-1953	5	28	and	and	CCONJ
ap-1953	5	29	useful	useful	ADJ
ap-1953	5	30	workbench	workbench	NOUN
ap-1953	5	31	for	for	ADP
ap-1953	5	32	studying	study	VERB
ap-1953	5	33	ultra	ultra	ADJ
ap-1953	5	34	high	high	ADJ
ap-1953	5	35	energy	energy	NOUN
ap-1953	5	36	cosmic	cosmic	ADJ
ap-1953	5	37	rays	ray	NOUN
ap-1953	5	38	.	.	PUNCT
ap-1953	6	1	keywords	keyword	NOUN
ap-1953	6	2	:	:	PUNCT
ap-1953	6	3	particles	particle	NOUN
ap-1953	6	4	astrophysics	astrophysic	NOUN
ap-1953	6	5	,	,	PUNCT
ap-1953	6	6	ultra	ultra	ADJ
ap-1953	6	7	high	high	ADJ
ap-1953	6	8	energy	energy	NOUN
ap-1953	6	9	cosmic	cosmic	ADJ
ap-1953	6	10	rays	ray	NOUN
ap-1953	6	11	,	,	PUNCT
ap-1953	6	12	astrophysical	astrophysical	ADJ
ap-1953	6	13	backgrounds	background	NOUN
ap-1953	6	14	.	.	PUNCT
ap-1953	7	1	1	1	X
ap-1953	7	2	.	.	X
ap-1953	7	3	introduction	introduction	NOUN
ap-1953	7	4	ultra	ultra	ADJ
ap-1953	7	5	high	high	ADJ
ap-1953	7	6	energy	energy	NOUN
ap-1953	7	7	cosmic	cosmic	ADJ
ap-1953	7	8	rays	ray	NOUN
ap-1953	7	9	(	(	PUNCT
ap-1953	7	10	uhecr	uhecr	NOUN
ap-1953	7	11	)	)	PUNCT
ap-1953	7	12	are	be	AUX
ap-1953	7	13	the	the	DET
ap-1953	7	14	most	most	ADV
ap-1953	7	15	energetic	energetic	ADJ
ap-1953	7	16	particles	particle	NOUN
ap-1953	7	17	observed	observe	VERB
ap-1953	7	18	in	in	ADP
ap-1953	7	19	nature	nature	NOUN
ap-1953	7	20	,	,	PUNCT
ap-1953	7	21	with	with	ADP
ap-1953	7	22	energies	energy	NOUN
ap-1953	7	23	up	up	ADP
ap-1953	7	24	to	to	ADP
ap-1953	7	25	a	a	DET
ap-1953	7	26	several	several	ADJ
ap-1953	7	27	1020	1020	NUM
ap-1953	7	28	ev	ev	INTJ
ap-1953	7	29	.	.	PROPN
ap-1953	7	30	experimental	experimental	ADJ
ap-1953	7	31	studies	study	NOUN
ap-1953	7	32	of	of	ADP
ap-1953	7	33	uhecr	uhecr	NOUN
ap-1953	7	34	are	be	AUX
ap-1953	7	35	currently	currently	ADV
ap-1953	7	36	being	be	AUX
ap-1953	7	37	conducted	conduct	VERB
ap-1953	7	38	in	in	ADP
ap-1953	7	39	three	three	NUM
ap-1953	7	40	different	different	ADJ
ap-1953	7	41	experiments	experiment	NOUN
ap-1953	7	42	:	:	PUNCT
ap-1953	7	43	auger	auger	NOUN
ap-1953	7	44	in	in	ADP
ap-1953	7	45	argentina	argentina	PROPN
ap-1953	7	46	,	,	PUNCT
ap-1953	7	47	hires	hire	NOUN
ap-1953	7	48	and	and	CCONJ
ap-1953	7	49	telescope	telescope	NOUN
ap-1953	7	50	array	array	NOUN
ap-1953	7	51	in	in	ADP
ap-1953	7	52	the	the	DET
ap-1953	7	53	usa	usa	PROPN
ap-1953	7	54	.	.	PUNCT
ap-1953	8	1	the	the	DET
ap-1953	8	2	propagation	propagation	NOUN
ap-1953	8	3	of	of	ADP
ap-1953	8	4	uhecr	uhecr	NOUN
ap-1953	8	5	from	from	ADP
ap-1953	8	6	the	the	DET
ap-1953	8	7	source	source	NOUN
ap-1953	8	8	to	to	ADP
ap-1953	8	9	the	the	DET
ap-1953	8	10	observer	observer	NOUN
ap-1953	8	11	is	be	AUX
ap-1953	8	12	conditioned	condition	VERB
ap-1953	8	13	by	by	ADP
ap-1953	8	14	their	their	PRON
ap-1953	8	15	interactions	interaction	NOUN
ap-1953	8	16	with	with	ADP
ap-1953	8	17	astrophysical	astrophysical	ADJ
ap-1953	8	18	backgrounds	background	NOUN
ap-1953	8	19	:	:	PUNCT
ap-1953	8	20	the	the	DET
ap-1953	8	21	cosmic	cosmic	ADJ
ap-1953	8	22	microwave	microwave	NOUN
ap-1953	8	23	background	background	NOUN
ap-1953	8	24	(	(	PUNCT
ap-1953	8	25	cmb	cmb	PROPN
ap-1953	8	26	)	)	PUNCT
ap-1953	8	27	and	and	CCONJ
ap-1953	8	28	the	the	DET
ap-1953	8	29	extragalactic	extragalactic	ADJ
ap-1953	8	30	background	background	NOUN
ap-1953	8	31	light	light	NOUN
ap-1953	8	32	(	(	PUNCT
ap-1953	8	33	ebl	ebl	PROPN
ap-1953	8	34	)	)	PUNCT
ap-1953	8	35	.	.	PUNCT
ap-1953	9	1	understanding	understand	VERB
ap-1953	9	2	the	the	DET
ap-1953	9	3	key	key	ADJ
ap-1953	9	4	features	feature	NOUN
ap-1953	9	5	of	of	ADP
ap-1953	9	6	propagation	propagation	NOUN
ap-1953	9	7	is	be	AUX
ap-1953	9	8	of	of	ADP
ap-1953	9	9	paramount	paramount	ADJ
ap-1953	9	10	importance	importance	NOUN
ap-1953	9	11	for	for	ADP
ap-1953	9	12	interpreting	interpret	VERB
ap-1953	9	13	experimental	experimental	ADJ
ap-1953	9	14	observations	observation	NOUN
ap-1953	9	15	paving	pave	VERB
ap-1953	9	16	the	the	DET
ap-1953	9	17	way	way	NOUN
ap-1953	9	18	for	for	ADP
ap-1953	9	19	the	the	DET
ap-1953	9	20	discovery	discovery	NOUN
ap-1953	9	21	of	of	ADP
ap-1953	9	22	the	the	DET
ap-1953	9	23	astrophysical	astrophysical	ADJ
ap-1953	9	24	origin	origin	NOUN
ap-1953	9	25	of	of	ADP
ap-1953	9	26	these	these	DET
ap-1953	9	27	fascinating	fascinating	ADJ
ap-1953	9	28	particles	particle	NOUN
ap-1953	9	29	.	.	PUNCT
ap-1953	10	1	several	several	ADJ
ap-1953	10	2	features	feature	NOUN
ap-1953	10	3	of	of	ADP
ap-1953	10	4	the	the	DET
ap-1953	10	5	observed	observed	ADJ
ap-1953	10	6	spectrum	spectrum	NOUN
ap-1953	10	7	can	can	AUX
ap-1953	10	8	be	be	AUX
ap-1953	10	9	linked	link	VERB
ap-1953	10	10	directly	directly	ADV
ap-1953	10	11	to	to	ADP
ap-1953	10	12	the	the	DET
ap-1953	10	13	chemical	chemical	NOUN
ap-1953	10	14	composition	composition	NOUN
ap-1953	10	15	of	of	ADP
ap-1953	10	16	uhecr	uhecr	NOUN
ap-1953	10	17	and	and	CCONJ
ap-1953	10	18	to	to	ADP
ap-1953	10	19	their	their	PRON
ap-1953	10	20	sources	source	NOUN
ap-1953	10	21	[	[	X
ap-1953	10	22	1	1	NUM
ap-1953	10	23	,	,	PUNCT
ap-1953	10	24	2	2	NUM
ap-1953	10	25	,	,	PUNCT
ap-1953	10	26	7	7	NUM
ap-1953	10	27	,	,	PUNCT
ap-1953	10	28	9	9	NUM
ap-1953	10	29	,	,	PUNCT
ap-1953	10	30	13	13	NUM
ap-1953	10	31	]	]	PUNCT
ap-1953	10	32	.	.	PUNCT
ap-1953	11	1	one	one	NUM
ap-1953	11	2	of	of	ADP
ap-1953	11	3	the	the	DET
ap-1953	11	4	particularly	particularly	ADV
ap-1953	11	5	important	important	ADJ
ap-1953	11	6	features	feature	NOUN
ap-1953	11	7	is	be	AUX
ap-1953	11	8	the	the	DET
ap-1953	11	9	greisin	greisin	NOUN
ap-1953	11	10	,	,	PUNCT
ap-1953	11	11	zatsepin	zatsepin	NOUN
ap-1953	11	12	and	and	CCONJ
ap-1953	11	13	kuzmin	kuzmin	PROPN
ap-1953	11	14	(	(	PUNCT
ap-1953	11	15	gzk	gzk	PROPN
ap-1953	11	16	)	)	PUNCT
ap-1953	11	17	suppression	suppression	NOUN
ap-1953	11	18	of	of	ADP
ap-1953	11	19	the	the	DET
ap-1953	11	20	flux	flux	NOUN
ap-1953	11	21	,	,	PUNCT
ap-1953	11	22	an	an	DET
ap-1953	11	23	abrupt	abrupt	ADJ
ap-1953	11	24	depletion	depletion	NOUN
ap-1953	11	25	of	of	ADP
ap-1953	11	26	the	the	DET
ap-1953	11	27	observed	observe	VERB
ap-1953	11	28	proton	proton	NOUN
ap-1953	11	29	spectrum	spectrum	NOUN
ap-1953	11	30	,	,	PUNCT
ap-1953	11	31	arising	arise	VERB
ap-1953	11	32	at	at	ADP
ap-1953	11	33	energies	energy	NOUN
ap-1953	11	34	e	e	X
ap-1953	11	35	'	'	NUM
ap-1953	11	36	5	5	NUM
ap-1953	11	37	×	×	NOUN
ap-1953	11	38	1019	1019	NUM
ap-1953	11	39	ev	ev	ADP
ap-1953	11	40	,	,	PUNCT
ap-1953	11	41	due	due	ADP
ap-1953	11	42	to	to	ADP
ap-1953	11	43	the	the	DET
ap-1953	11	44	interaction	interaction	NOUN
ap-1953	11	45	of	of	ADP
ap-1953	11	46	uhe	uhe	PROPN
ap-1953	11	47	protons	proton	NOUN
ap-1953	11	48	with	with	ADP
ap-1953	11	49	the	the	DET
ap-1953	11	50	cmb	cmb	PROPN
ap-1953	11	51	radiation	radiation	NOUN
ap-1953	11	52	field	field	NOUN
ap-1953	11	53	[	[	X
ap-1953	11	54	9	9	NUM
ap-1953	11	55	,	,	PUNCT
ap-1953	11	56	13	13	NUM
ap-1953	11	57	]	]	PUNCT
ap-1953	11	58	.	.	PUNCT
ap-1953	12	1	gzk	gzk	PROPN
ap-1953	12	2	suppression	suppression	NOUN
ap-1953	12	3	,	,	PUNCT
ap-1953	12	4	as	as	SCONJ
ap-1953	12	5	follows	follow	VERB
ap-1953	12	6	from	from	ADP
ap-1953	12	7	the	the	DET
ap-1953	12	8	original	original	ADJ
ap-1953	12	9	papers	paper	NOUN
ap-1953	12	10	,	,	PUNCT
ap-1953	12	11	refers	refer	VERB
ap-1953	12	12	to	to	ADP
ap-1953	12	13	protons	proton	NOUN
ap-1953	12	14	and	and	CCONJ
ap-1953	12	15	it	it	PRON
ap-1953	12	16	is	be	AUX
ap-1953	12	17	due	due	ADJ
ap-1953	12	18	to	to	ADP
ap-1953	12	19	the	the	DET
ap-1953	12	20	photopion	photopion	NOUN
ap-1953	12	21	production	production	NOUN
ap-1953	12	22	process	process	NOUN
ap-1953	12	23	on	on	ADP
ap-1953	12	24	the	the	DET
ap-1953	12	25	cmb	cmb	PROPN
ap-1953	12	26	radiation	radiation	NOUN
ap-1953	12	27	field	field	NOUN
ap-1953	12	28	(	(	PUNCT
ap-1953	12	29	p+γcmb	p+γcmb	PROPN
ap-1953	12	30	→	→	SYM
ap-1953	12	31	π+p	π+p	NOUN
ap-1953	12	32	)	)	PUNCT
ap-1953	12	33	.	.	PUNCT
ap-1953	13	1	in	in	ADP
ap-1953	13	2	the	the	DET
ap-1953	13	3	case	case	NOUN
ap-1953	13	4	of	of	ADP
ap-1953	13	5	nuclei	nucleus	NOUN
ap-1953	13	6	the	the	DET
ap-1953	13	7	expected	expect	VERB
ap-1953	13	8	flux	flux	NOUN
ap-1953	13	9	also	also	ADV
ap-1953	13	10	shows	show	VERB
ap-1953	13	11	a	a	DET
ap-1953	13	12	suppression	suppression	NOUN
ap-1953	13	13	at	at	ADP
ap-1953	13	14	the	the	DET
ap-1953	13	15	highest	high	ADJ
ap-1953	13	16	energies	energy	NOUN
ap-1953	13	17	which	which	PRON
ap-1953	13	18	,	,	PUNCT
ap-1953	13	19	depending	depend	VERB
ap-1953	13	20	on	on	ADP
ap-1953	13	21	the	the	DET
ap-1953	13	22	nucleus	nucleus	ADJ
ap-1953	13	23	species	specie	NOUN
ap-1953	13	24	,	,	PUNCT
ap-1953	13	25	is	be	AUX
ap-1953	13	26	due	due	ADJ
ap-1953	13	27	to	to	ADP
ap-1953	13	28	the	the	DET
ap-1953	13	29	photo	photo	NOUN
ap-1953	13	30	-	-	PUNCT
ap-1953	13	31	disintegration	disintegration	NOUN
ap-1953	13	32	process	process	NOUN
ap-1953	13	33	on	on	ADP
ap-1953	13	34	the	the	DET
ap-1953	13	35	cmb	cmb	PROPN
ap-1953	13	36	and	and	CCONJ
ap-1953	13	37	ebl	ebl	PROPN
ap-1953	13	38	radiation	radiation	NOUN
ap-1953	13	39	fields	field	NOUN
ap-1953	13	40	(	(	PUNCT
ap-1953	13	41	a+γcmb	a+γcmb	PROPN
ap-1953	13	42	,	,	PUNCT
ap-1953	13	43	ebl	ebl	PROPN
ap-1953	13	44	→	→	SYM
ap-1953	13	45	(	(	PUNCT
ap-1953	13	46	a−nn)+nn	a−nn)+nn	NOUN
ap-1953	13	47	)	)	PUNCT
ap-1953	14	1	[	[	X
ap-1953	14	2	3	3	NUM
ap-1953	14	3	]	]	PUNCT
ap-1953	14	4	.	.	PUNCT
ap-1953	15	1	another	another	DET
ap-1953	15	2	important	important	ADJ
ap-1953	15	3	feature	feature	NOUN
ap-1953	15	4	in	in	ADP
ap-1953	15	5	the	the	DET
ap-1953	15	6	spectrum	spectrum	NOUN
ap-1953	15	7	that	that	PRON
ap-1953	15	8	can	can	AUX
ap-1953	15	9	be	be	AUX
ap-1953	15	10	directly	directly	ADV
ap-1953	15	11	linked	link	VERB
ap-1953	15	12	with	with	ADP
ap-1953	15	13	the	the	DET
ap-1953	15	14	nature	nature	NOUN
ap-1953	15	15	of	of	ADP
ap-1953	15	16	the	the	DET
ap-1953	15	17	primary	primary	ADJ
ap-1953	15	18	particles	particle	NOUN
ap-1953	15	19	and	and	CCONJ
ap-1953	15	20	their	their	PRON
ap-1953	15	21	origin	origin	NOUN
ap-1953	15	22	(	(	PUNCT
ap-1953	15	23	galactic	galactic	ADJ
ap-1953	15	24	/	/	SYM
ap-1953	15	25	extra	extra	ADJ
ap-1953	15	26	-	-	ADJ
ap-1953	15	27	galactic	galactic	ADJ
ap-1953	15	28	)	)	PUNCT
ap-1953	15	29	is	be	AUX
ap-1953	15	30	the	the	DET
ap-1953	15	31	pair	pair	NOUN
ap-1953	15	32	-	-	PUNCT
ap-1953	15	33	production	production	NOUN
ap-1953	15	34	dip	dip	NOUN
ap-1953	16	1	[	[	X
ap-1953	16	2	1	1	NUM
ap-1953	16	3	,	,	PUNCT
ap-1953	16	4	7	7	NUM
ap-1953	16	5	]	]	PUNCT
ap-1953	16	6	.	.	PUNCT
ap-1953	17	1	this	this	DET
ap-1953	17	2	feature	feature	NOUN
ap-1953	17	3	is	be	AUX
ap-1953	17	4	present	present	ADJ
ap-1953	17	5	only	only	ADV
ap-1953	17	6	in	in	ADP
ap-1953	17	7	the	the	DET
ap-1953	17	8	spectrum	spectrum	NOUN
ap-1953	17	9	of	of	ADP
ap-1953	17	10	uhe	uhe	PROPN
ap-1953	17	11	extragalactic	extragalactic	ADJ
ap-1953	17	12	protons	proton	NOUN
ap-1953	17	13	and	and	CCONJ
ap-1953	17	14	,	,	PUNCT
ap-1953	17	15	like	like	ADP
ap-1953	17	16	gzk	gzk	PROPN
ap-1953	17	17	,	,	PUNCT
ap-1953	17	18	is	be	AUX
ap-1953	17	19	a	a	DET
ap-1953	17	20	direct	direct	ADJ
ap-1953	17	21	consequence	consequence	NOUN
ap-1953	17	22	of	of	ADP
ap-1953	17	23	the	the	DET
ap-1953	17	24	interaction	interaction	NOUN
ap-1953	17	25	of	of	ADP
ap-1953	17	26	the	the	DET
ap-1953	17	27	proton	proton	NOUN
ap-1953	17	28	with	with	ADP
ap-1953	17	29	the	the	DET
ap-1953	17	30	cmb	cmb	PROPN
ap-1953	17	31	radiation	radiation	NOUN
ap-1953	17	32	field	field	NOUN
ap-1953	17	33	.	.	PUNCT
ap-1953	18	1	in	in	ADP
ap-1953	18	2	particular	particular	ADJ
ap-1953	18	3	the	the	DET
ap-1953	18	4	dip	dip	NOUN
ap-1953	18	5	brings	bring	VERB
ap-1953	18	6	a	a	DET
ap-1953	18	7	direct	direct	ADJ
ap-1953	18	8	imprint	imprint	NOUN
ap-1953	18	9	of	of	ADP
ap-1953	18	10	the	the	DET
ap-1953	18	11	pair	pair	NOUN
ap-1953	18	12	production	production	NOUN
ap-1953	18	13	process	process	NOUN
ap-1953	18	14	p	p	NOUN
ap-1953	19	1	+	+	NUM
ap-1953	19	2	γcmb	γcmb	NOUN
ap-1953	19	3	→	→	X
ap-1953	19	4	p	p	X
ap-1953	19	5	+	+	CCONJ
ap-1953	19	6	e+	e+	VERB
ap-1953	19	7	+	+	CCONJ
ap-1953	19	8	e−	e−	PROPN
ap-1953	19	9	suffered	suffer	VERB
ap-1953	19	10	by	by	ADP
ap-1953	19	11	protons	proton	NOUN
ap-1953	19	12	.	.	PUNCT
ap-1953	20	1	from	from	ADP
ap-1953	20	2	the	the	DET
ap-1953	20	3	experimental	experimental	ADJ
ap-1953	20	4	point	point	NOUN
ap-1953	20	5	of	of	ADP
ap-1953	20	6	view	view	NOUN
ap-1953	20	7	the	the	DET
ap-1953	20	8	situation	situation	NOUN
ap-1953	20	9	is	be	AUX
ap-1953	20	10	far	far	ADV
ap-1953	20	11	from	from	ADP
ap-1953	20	12	being	be	AUX
ap-1953	20	13	clear	clear	ADJ
ap-1953	20	14	with	with	ADP
ap-1953	20	15	different	different	ADJ
ap-1953	20	16	experiments	experiment	NOUN
ap-1953	20	17	claiming	claim	VERB
ap-1953	20	18	contradictory	contradictory	ADJ
ap-1953	20	19	results	result	NOUN
ap-1953	20	20	.	.	PUNCT
ap-1953	21	1	the	the	DET
ap-1953	21	2	hires	hire	NOUN
ap-1953	21	3	experiment	experiment	NOUN
ap-1953	21	4	,	,	PUNCT
ap-1953	21	5	which	which	PRON
ap-1953	21	6	is	be	AUX
ap-1953	21	7	no	no	ADV
ap-1953	21	8	longer	long	ADV
ap-1953	21	9	taking	take	VERB
ap-1953	21	10	data	datum	NOUN
ap-1953	21	11	,	,	PUNCT
ap-1953	21	12	showed	show	VERB
ap-1953	21	13	a	a	DET
ap-1953	21	14	proton	proton	NOUN
ap-1953	21	15	dominated	dominate	VERB
ap-1953	21	16	spectrum	spectrum	NOUN
ap-1953	21	17	till	till	SCONJ
ap-1953	21	18	the	the	DET
ap-1953	21	19	highest	high	ADJ
ap-1953	21	20	energies	energy	NOUN
ap-1953	21	21	[	[	X
ap-1953	21	22	10	10	NUM
ap-1953	21	23	,	,	PUNCT
ap-1953	21	24	11	11	NUM
ap-1953	21	25	]	]	PUNCT
ap-1953	21	26	while	while	SCONJ
ap-1953	21	27	the	the	DET
ap-1953	21	28	auger	auger	NOUN
ap-1953	21	29	observations	observation	NOUN
ap-1953	21	30	show	show	VERB
ap-1953	21	31	a	a	DET
ap-1953	21	32	heavy	heavy	ADJ
ap-1953	21	33	mass	mass	NOUN
ap-1953	21	34	composition	composition	NOUN
ap-1953	21	35	at	at	ADP
ap-1953	21	36	energies	energy	NOUN
ap-1953	21	37	e	e	X
ap-1953	21	38	>	>	X
ap-1953	21	39	4×	4×	NOUN
ap-1953	21	40	1018	1018	NUM
ap-1953	21	41	ev	ev	X
ap-1953	22	1	[	[	X
ap-1953	22	2	5	5	NUM
ap-1953	22	3	]	]	PUNCT
ap-1953	22	4	.	.	PUNCT
ap-1953	23	1	this	this	DET
ap-1953	23	2	puzzling	puzzle	VERB
ap-1953	23	3	situation	situation	NOUN
ap-1953	23	4	,	,	PUNCT
ap-1953	23	5	with	with	ADP
ap-1953	23	6	different	different	ADJ
ap-1953	23	7	experiments	experiment	NOUN
ap-1953	23	8	favoring	favor	VERB
ap-1953	23	9	different	different	ADJ
ap-1953	23	10	scenarios	scenario	NOUN
ap-1953	23	11	,	,	PUNCT
ap-1953	23	12	shows	show	VERB
ap-1953	23	13	once	once	ADV
ap-1953	23	14	more	more	ADJ
ap-1953	23	15	the	the	DET
ap-1953	23	16	importance	importance	NOUN
ap-1953	23	17	of	of	ADP
ap-1953	23	18	a	a	DET
ap-1953	23	19	systematic	systematic	ADJ
ap-1953	23	20	study	study	NOUN
ap-1953	23	21	of	of	ADP
ap-1953	23	22	uhecr	uhecr	NOUN
ap-1953	23	23	propagation	propagation	NOUN
ap-1953	23	24	in	in	ADP
ap-1953	23	25	astrophysical	astrophysical	ADJ
ap-1953	23	26	backgrounds	background	NOUN
ap-1953	23	27	.	.	PUNCT
ap-1953	24	1	in	in	ADP
ap-1953	24	2	the	the	DET
ap-1953	24	3	present	present	ADJ
ap-1953	24	4	paper	paper	NOUN
ap-1953	24	5	we	we	PRON
ap-1953	24	6	will	will	AUX
ap-1953	24	7	review	review	VERB
ap-1953	24	8	the	the	DET
ap-1953	24	9	main	main	ADJ
ap-1953	24	10	points	point	NOUN
ap-1953	24	11	of	of	ADP
ap-1953	24	12	two	two	NUM
ap-1953	24	13	alternative	alternative	ADJ
ap-1953	24	14	computation	computation	NOUN
ap-1953	24	15	schemes	scheme	NOUN
ap-1953	24	16	which	which	PRON
ap-1953	24	17	enable	enable	VERB
ap-1953	24	18	the	the	DET
ap-1953	24	19	determination	determination	NOUN
ap-1953	24	20	of	of	ADP
ap-1953	24	21	the	the	DET
ap-1953	24	22	fluxes	flux	NOUN
ap-1953	24	23	expected	expect	VERB
ap-1953	24	24	on	on	ADP
ap-1953	24	25	earth	earth	NOUN
ap-1953	24	26	fixing	fix	VERB
ap-1953	24	27	the	the	DET
ap-1953	24	28	injection	injection	NOUN
ap-1953	24	29	spectrum	spectrum	NOUN
ap-1953	24	30	and	and	CCONJ
ap-1953	24	31	the	the	DET
ap-1953	24	32	distribution	distribution	NOUN
ap-1953	24	33	of	of	ADP
ap-1953	24	34	sources	source	NOUN
ap-1953	24	35	.	.	PUNCT
ap-1953	25	1	these	these	DET
ap-1953	25	2	two	two	NUM
ap-1953	25	3	schemes	scheme	NOUN
ap-1953	25	4	are	be	AUX
ap-1953	25	5	based	base	VERB
ap-1953	25	6	on	on	ADP
ap-1953	25	7	different	different	ADJ
ap-1953	25	8	approaches	approach	NOUN
ap-1953	25	9	to	to	ADP
ap-1953	25	10	modeling	model	VERB
ap-1953	25	11	the	the	DET
ap-1953	25	12	interactions	interaction	NOUN
ap-1953	25	13	between	between	ADP
ap-1953	25	14	particles	particle	NOUN
ap-1953	25	15	and	and	CCONJ
ap-1953	25	16	backgrounds	background	NOUN
ap-1953	25	17	:	:	PUNCT
ap-1953	25	18	the	the	DET
ap-1953	25	19	continuum	continuum	ADJ
ap-1953	25	20	energy	energy	NOUN
ap-1953	25	21	losses	loss	NOUN
ap-1953	25	22	(	(	PUNCT
ap-1953	25	23	cel	cel	PROPN
ap-1953	25	24	)	)	PUNCT
ap-1953	25	25	approximation	approximation	NOUN
ap-1953	25	26	,	,	PUNCT
ap-1953	25	27	which	which	PRON
ap-1953	25	28	forms	form	VERB
ap-1953	25	29	the	the	DET
ap-1953	25	30	basis	basis	NOUN
ap-1953	25	31	of	of	ADP
ap-1953	25	32	the	the	DET
ap-1953	25	33	kinetic	kinetic	ADJ
ap-1953	25	34	approach	approach	NOUN
ap-1953	25	35	,	,	PUNCT
ap-1953	25	36	and	and	CCONJ
ap-1953	25	37	the	the	DET
ap-1953	25	38	monte	monte	PROPN
ap-1953	25	39	carlo	carlo	PROPN
ap-1953	25	40	(	(	PUNCT
ap-1953	25	41	mc	mc	PROPN
ap-1953	25	42	)	)	PUNCT
ap-1953	25	43	technique	technique	NOUN
ap-1953	25	44	.	.	PUNCT
ap-1953	26	1	as	as	SCONJ
ap-1953	26	2	we	we	PRON
ap-1953	26	3	will	will	AUX
ap-1953	26	4	discuss	discuss	VERB
ap-1953	26	5	in	in	ADP
ap-1953	26	6	the	the	DET
ap-1953	26	7	following	follow	VERB
ap-1953	26	8	these	these	DET
ap-1953	26	9	two	two	NUM
ap-1953	26	10	different	different	ADJ
ap-1953	26	11	schemes	scheme	NOUN
ap-1953	26	12	give	give	VERB
ap-1953	26	13	reliable	reliable	ADJ
ap-1953	26	14	results	result	NOUN
ap-1953	26	15	that	that	SCONJ
ap-1953	26	16	,	,	PUNCT
ap-1953	26	17	in	in	ADP
ap-1953	26	18	the	the	DET
ap-1953	26	19	framework	framework	NOUN
ap-1953	26	20	of	of	ADP
ap-1953	26	21	different	different	ADJ
ap-1953	26	22	assumptions	assumption	NOUN
ap-1953	26	23	,	,	PUNCT
ap-1953	26	24	agree	agree	VERB
ap-1953	26	25	each	each	DET
ap-1953	26	26	other	other	ADJ
ap-1953	26	27	and	and	CCONJ
ap-1953	26	28	offer	offer	VERB
ap-1953	26	29	a	a	DET
ap-1953	26	30	suitable	suitable	ADJ
ap-1953	26	31	theoretical	theoretical	ADJ
ap-1953	26	32	framework	framework	NOUN
ap-1953	26	33	to	to	PART
ap-1953	26	34	study	study	VERB
ap-1953	26	35	experimental	experimental	ADJ
ap-1953	26	36	results	result	NOUN
ap-1953	26	37	unveiling	unveil	VERB
ap-1953	26	38	the	the	DET
ap-1953	26	39	intimate	intimate	ADJ
ap-1953	26	40	nature	nature	NOUN
ap-1953	26	41	of	of	ADP
ap-1953	26	42	uhecr	uhecr	NOUN
ap-1953	26	43	.	.	PUNCT
ap-1953	27	1	2	2	X
ap-1953	27	2	.	.	X
ap-1953	27	3	kinetic	kinetic	ADJ
ap-1953	27	4	equations	equation	NOUN
ap-1953	27	5	the	the	DET
ap-1953	27	6	main	main	ADJ
ap-1953	27	7	assumption	assumption	NOUN
ap-1953	27	8	under	under	ADP
ap-1953	27	9	which	which	PRON
ap-1953	27	10	the	the	DET
ap-1953	27	11	kinetic	kinetic	ADJ
ap-1953	27	12	theory	theory	NOUN
ap-1953	27	13	is	be	AUX
ap-1953	27	14	built	build	VERB
ap-1953	27	15	is	be	AUX
ap-1953	27	16	the	the	DET
ap-1953	27	17	cel	cel	PROPN
ap-1953	27	18	approximation	approximation	NOUN
ap-1953	27	19	[	[	X
ap-1953	27	20	6	6	NUM
ap-1953	27	21	]	]	PUNCT
ap-1953	27	22	,	,	PUNCT
ap-1953	27	23	through	through	ADP
ap-1953	27	24	which	which	PRON
ap-1953	27	25	particle	particle	NOUN
ap-1953	27	26	interactions	interaction	NOUN
ap-1953	27	27	are	be	AUX
ap-1953	27	28	treated	treat	VERB
ap-1953	27	29	as	as	ADP
ap-1953	27	30	a	a	DET
ap-1953	27	31	continuum	continuum	ADJ
ap-1953	27	32	process	process	NOUN
ap-1953	27	33	that	that	PRON
ap-1953	27	34	continuously	continuously	ADV
ap-1953	27	35	depletes	deplete	VERB
ap-1953	27	36	the	the	DET
ap-1953	27	37	energy	energy	NOUN
ap-1953	27	38	of	of	ADP
ap-1953	27	39	the	the	DET
ap-1953	27	40	particles	particle	NOUN
ap-1953	27	41	.	.	PUNCT
ap-1953	28	1	703	703	NUM
ap-1953	28	2	http://dx.doi.org/10.14311/ap.2013.53.0703	http://dx.doi.org/10.14311/ap.2013.53.0703	NOUN
ap-1953	28	3	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	AUX
ap-1953	28	4	roberto	roberto	PROPN
ap-1953	28	5	aloisio	aloisio	PROPN
ap-1953	28	6	acta	acta	PROPN
ap-1953	28	7	polytechnica	polytechnica	PROPN
ap-1953	28	8	uhecr	uhecr	NOUN
ap-1953	28	9	propagating	propagate	VERB
ap-1953	28	10	through	through	ADP
ap-1953	28	11	astrophysical	astrophysical	ADJ
ap-1953	28	12	backgrounds	background	NOUN
ap-1953	28	13	suffer	suffer	VERB
ap-1953	28	14	different	different	ADJ
ap-1953	28	15	interaction	interaction	NOUN
ap-1953	28	16	processes	process	NOUN
ap-1953	28	17	:	:	PUNCT
ap-1953	28	18	•	•	NUM
ap-1953	28	19	protons	proton	NOUN
ap-1953	28	20	–	–	PUNCT
ap-1953	28	21	uhe	uhe	PROPN
ap-1953	28	22	protons	proton	NOUN
ap-1953	28	23	interact	interact	VERB
ap-1953	28	24	only	only	ADV
ap-1953	28	25	with	with	ADP
ap-1953	28	26	the	the	DET
ap-1953	28	27	cmb	cmb	PROPN
ap-1953	28	28	radiation	radiation	NOUN
ap-1953	28	29	field	field	NOUN
ap-1953	28	30	giving	give	VERB
ap-1953	28	31	rise	rise	NOUN
ap-1953	28	32	to	to	ADP
ap-1953	28	33	the	the	DET
ap-1953	28	34	two	two	NUM
ap-1953	28	35	processes	process	NOUN
ap-1953	28	36	of	of	ADP
ap-1953	28	37	pair	pair	NOUN
ap-1953	28	38	production	production	NOUN
ap-1953	28	39	and	and	CCONJ
ap-1953	28	40	photo	photo	NOUN
ap-1953	28	41	-	-	PUNCT
ap-1953	28	42	pion	pion	NOUN
ap-1953	28	43	production	production	NOUN
ap-1953	28	44	.	.	PUNCT
ap-1953	29	1	both	both	PRON
ap-1953	29	2	of	of	ADP
ap-1953	29	3	these	these	DET
ap-1953	29	4	reactions	reaction	NOUN
ap-1953	29	5	can	can	AUX
ap-1953	29	6	be	be	AUX
ap-1953	29	7	treated	treat	VERB
ap-1953	29	8	in	in	ADP
ap-1953	29	9	the	the	DET
ap-1953	29	10	cel	cel	PROPN
ap-1953	29	11	hypothesis	hypothesis	NOUN
ap-1953	29	12	.	.	PUNCT
ap-1953	30	1	•	•	NUM
ap-1953	30	2	nuclei	nucleus	NOUN
ap-1953	30	3	–	–	PUNCT
ap-1953	30	4	uhe	uhe	PROPN
ap-1953	30	5	nuclei	nucleus	NOUN
ap-1953	30	6	interact	interact	VERB
ap-1953	30	7	with	with	ADP
ap-1953	30	8	the	the	DET
ap-1953	30	9	cmb	cmb	PROPN
ap-1953	30	10	and	and	CCONJ
ap-1953	30	11	ebl	ebl	PROPN
ap-1953	30	12	radiation	radiation	NOUN
ap-1953	30	13	fields	field	NOUN
ap-1953	30	14	,	,	PUNCT
ap-1953	30	15	suffering	suffer	VERB
ap-1953	30	16	the	the	DET
ap-1953	30	17	process	process	NOUN
ap-1953	30	18	of	of	ADP
ap-1953	30	19	pair	pair	NOUN
ap-1953	30	20	production	production	NOUN
ap-1953	30	21	,	,	PUNCT
ap-1953	30	22	for	for	ADP
ap-1953	30	23	which	which	PRON
ap-1953	30	24	only	only	ADV
ap-1953	30	25	cmb	cmb	PROPN
ap-1953	30	26	is	be	AUX
ap-1953	30	27	relevant	relevant	ADJ
ap-1953	30	28	,	,	PUNCT
ap-1953	30	29	and	and	CCONJ
ap-1953	30	30	photo	photo	NOUN
ap-1953	30	31	-	-	PUNCT
ap-1953	30	32	disintegration	disintegration	NOUN
ap-1953	30	33	,	,	PUNCT
ap-1953	30	34	which	which	PRON
ap-1953	30	35	involves	involve	VERB
ap-1953	30	36	both	both	DET
ap-1953	30	37	cmb	cmb	PROPN
ap-1953	30	38	and	and	CCONJ
ap-1953	30	39	ebl	ebl	PROPN
ap-1953	30	40	backgrounds	background	NOUN
ap-1953	30	41	.	.	PUNCT
ap-1953	31	1	while	while	SCONJ
ap-1953	31	2	the	the	DET
ap-1953	31	3	first	first	ADJ
ap-1953	31	4	process	process	NOUN
ap-1953	31	5	can	can	AUX
ap-1953	31	6	be	be	AUX
ap-1953	31	7	treated	treat	VERB
ap-1953	31	8	in	in	ADP
ap-1953	31	9	the	the	DET
ap-1953	31	10	cel	cel	PROPN
ap-1953	31	11	hypothesis	hypothesis	NOUN
ap-1953	31	12	,	,	PUNCT
ap-1953	31	13	the	the	DET
ap-1953	31	14	nucleus	nucleus	ADJ
ap-1953	31	15	species	specie	NOUN
ap-1953	31	16	being	be	AUX
ap-1953	31	17	conserved	conserve	VERB
ap-1953	31	18	,	,	PUNCT
ap-1953	31	19	the	the	DET
ap-1953	31	20	second	second	NOUN
ap-1953	31	21	can	can	AUX
ap-1953	31	22	not	not	PART
ap-1953	31	23	be	be	AUX
ap-1953	31	24	,	,	PUNCT
ap-1953	31	25	producing	produce	VERB
ap-1953	31	26	a	a	DET
ap-1953	31	27	change	change	NOUN
ap-1953	31	28	in	in	ADP
ap-1953	31	29	the	the	DET
ap-1953	31	30	nucleus	nucleus	ADJ
ap-1953	31	31	species	specie	NOUN
ap-1953	31	32	.	.	PUNCT
ap-1953	32	1	following	follow	VERB
ap-1953	32	2	aloisio	aloisio	PROPN
ap-1953	32	3	et	et	PROPN
ap-1953	32	4	al	al	PROPN
ap-1953	32	5	.	.	PUNCT
ap-1953	33	1	[	[	X
ap-1953	33	2	3	3	NUM
ap-1953	33	3	]	]	PUNCT
ap-1953	33	4	,	,	PUNCT
ap-1953	33	5	in	in	ADP
ap-1953	33	6	the	the	DET
ap-1953	33	7	framework	framework	NOUN
ap-1953	33	8	of	of	ADP
ap-1953	33	9	the	the	DET
ap-1953	33	10	kinetic	kinetic	ADJ
ap-1953	33	11	approach	approach	NOUN
ap-1953	33	12	,	,	PUNCT
ap-1953	33	13	we	we	PRON
ap-1953	33	14	will	will	AUX
ap-1953	33	15	treat	treat	VERB
ap-1953	33	16	the	the	DET
ap-1953	33	17	photo	photo	NOUN
ap-1953	33	18	-	-	PUNCT
ap-1953	33	19	disintegration	disintegration	NOUN
ap-1953	33	20	process	process	NOUN
ap-1953	33	21	as	as	ADP
ap-1953	33	22	a	a	DET
ap-1953	33	23	“	"	PUNCT
ap-1953	33	24	decaying	decay	VERB
ap-1953	33	25	”	"	PUNCT
ap-1953	33	26	process	process	NOUN
ap-1953	33	27	that	that	PRON
ap-1953	33	28	simply	simply	ADV
ap-1953	33	29	depletes	deplete	VERB
ap-1953	33	30	the	the	DET
ap-1953	33	31	flux	flux	NOUN
ap-1953	33	32	of	of	ADP
ap-1953	33	33	the	the	DET
ap-1953	33	34	propagating	propagate	VERB
ap-1953	33	35	nucleus	nucleus	NOUN
ap-1953	33	36	.	.	PUNCT
ap-1953	34	1	taking	take	VERB
ap-1953	34	2	into	into	ADP
ap-1953	34	3	account	account	NOUN
ap-1953	34	4	all	all	DET
ap-1953	34	5	energy	energy	NOUN
ap-1953	34	6	loss	loss	NOUN
ap-1953	34	7	processes	process	NOUN
ap-1953	34	8	we	we	PRON
ap-1953	34	9	can	can	AUX
ap-1953	34	10	describe	describe	VERB
ap-1953	34	11	the	the	DET
ap-1953	34	12	propagation	propagation	NOUN
ap-1953	34	13	of	of	ADP
ap-1953	34	14	protons	proton	NOUN
ap-1953	34	15	and	and	CCONJ
ap-1953	34	16	nuclei	nucleus	NOUN
ap-1953	34	17	through	through	ADP
ap-1953	34	18	kinetic	kinetic	ADJ
ap-1953	34	19	equations	equation	NOUN
ap-1953	34	20	of	of	ADP
ap-1953	34	21	the	the	DET
ap-1953	34	22	type	type	NOUN
ap-1953	34	23	:	:	PUNCT
ap-1953	34	24	∂np(γ	∂np(γ	NOUN
ap-1953	34	25	,	,	PUNCT
ap-1953	34	26	t	t	PROPN
ap-1953	34	27	)	)	PUNCT
ap-1953	34	28	∂t	∂t	PROPN
ap-1953	34	29	−	−	PROPN
ap-1953	34	30	∂	∂	NOUN
ap-1953	34	31	∂γ	∂γ	NOUN
ap-1953	35	1	[	[	X
ap-1953	35	2	bp(γ	bp(γ	ADP
ap-1953	35	3	,	,	PUNCT
ap-1953	35	4	t)np(γ	t)np(γ	ADV
ap-1953	35	5	,	,	PUNCT
ap-1953	35	6	t	t	PROPN
ap-1953	35	7	)	)	PUNCT
ap-1953	35	8	]	]	PUNCT
ap-1953	36	1	=	=	PUNCT
ap-1953	36	2	qp(γ	qp(γ	NOUN
ap-1953	36	3	,	,	PUNCT
ap-1953	36	4	t	t	PROPN
ap-1953	36	5	)	)	PUNCT
ap-1953	36	6	(	(	PUNCT
ap-1953	36	7	1	1	X
ap-1953	36	8	)	)	PUNCT
ap-1953	36	9	∂na(γ	∂na(γ	PROPN
ap-1953	36	10	,	,	PUNCT
ap-1953	36	11	t	t	PROPN
ap-1953	36	12	)	)	PUNCT
ap-1953	36	13	∂t	∂t	PROPN
ap-1953	36	14	−	−	PROPN
ap-1953	36	15	∂	∂	NOUN
ap-1953	36	16	∂γ	∂γ	NOUN
ap-1953	37	1	[	[	X
ap-1953	37	2	na(γ	na(γ	X
ap-1953	37	3	,	,	PUNCT
ap-1953	37	4	t)ba(γ	t)ba(γ	NOUN
ap-1953	37	5	,	,	PUNCT
ap-1953	37	6	t)]+na(γ	t)]+na(γ	NOUN
ap-1953	37	7	,	,	PUNCT
ap-1953	37	8	t	t	PROPN
ap-1953	37	9	)	)	PUNCT
ap-1953	37	10	τa(γ	τa(γ	PUNCT
ap-1953	37	11	,	,	PUNCT
ap-1953	37	12	t	t	NOUN
ap-1953	37	13	)	)	PUNCT
ap-1953	37	14	=	=	SYM
ap-1953	37	15	qa(γ	qa(γ	X
ap-1953	37	16	,	,	PUNCT
ap-1953	37	17	t	t	PROPN
ap-1953	37	18	)	)	PUNCT
ap-1953	37	19	(	(	PUNCT
ap-1953	37	20	2	2	X
ap-1953	37	21	)	)	PUNCT
ap-1953	37	22	where	where	SCONJ
ap-1953	37	23	n	n	PRON
ap-1953	37	24	is	be	AUX
ap-1953	37	25	the	the	DET
ap-1953	37	26	equilibrium	equilibrium	NOUN
ap-1953	37	27	distribution	distribution	NOUN
ap-1953	37	28	of	of	ADP
ap-1953	37	29	particles	particle	NOUN
ap-1953	37	30	,	,	PUNCT
ap-1953	37	31	b	b	X
ap-1953	37	32	are	be	AUX
ap-1953	37	33	the	the	DET
ap-1953	37	34	energy	energy	NOUN
ap-1953	37	35	losses	loss	NOUN
ap-1953	37	36	(	(	PUNCT
ap-1953	37	37	adiabatic	adiabatic	ADJ
ap-1953	37	38	expansion	expansion	NOUN
ap-1953	37	39	of	of	ADP
ap-1953	37	40	the	the	DET
ap-1953	37	41	universe	universe	NOUN
ap-1953	37	42	and	and	CCONJ
ap-1953	37	43	pair	pair	NOUN
ap-1953	37	44	/	/	SYM
ap-1953	37	45	photo	photo	NOUN
ap-1953	37	46	-	-	PUNCT
ap-1953	37	47	pion	pion	NOUN
ap-1953	37	48	production	production	NOUN
ap-1953	37	49	for	for	ADP
ap-1953	37	50	protons	proton	NOUN
ap-1953	37	51	or	or	CCONJ
ap-1953	37	52	only	only	ADV
ap-1953	37	53	pair	pair	NOUN
ap-1953	37	54	-	-	PUNCT
ap-1953	37	55	production	production	NOUN
ap-1953	37	56	for	for	ADP
ap-1953	37	57	nuclei	nucleus	NOUN
ap-1953	37	58	)	)	PUNCT
ap-1953	37	59	q	q	PUNCT
ap-1953	37	60	is	be	AUX
ap-1953	37	61	the	the	DET
ap-1953	37	62	injection	injection	NOUN
ap-1953	37	63	of	of	ADP
ap-1953	37	64	freshly	freshly	ADV
ap-1953	37	65	accelerated	accelerate	VERB
ap-1953	37	66	particles	particle	NOUN
ap-1953	37	67	and	and	CCONJ
ap-1953	37	68	,	,	PUNCT
ap-1953	37	69	in	in	ADP
ap-1953	37	70	the	the	DET
ap-1953	37	71	case	case	NOUN
ap-1953	37	72	of	of	ADP
ap-1953	37	73	nuclei	nucleus	NOUN
ap-1953	37	74	,	,	PUNCT
ap-1953	37	75	also	also	ADV
ap-1953	37	76	the	the	DET
ap-1953	37	77	injection	injection	NOUN
ap-1953	37	78	of	of	ADP
ap-1953	37	79	secondary	secondary	ADJ
ap-1953	37	80	particles	particle	NOUN
ap-1953	37	81	produced	produce	VERB
ap-1953	37	82	by	by	ADP
ap-1953	37	83	photo	photo	NOUN
ap-1953	37	84	-	-	PUNCT
ap-1953	37	85	disintegration	disintegration	NOUN
ap-1953	37	86	(	(	PUNCT
ap-1953	37	87	see	see	VERB
ap-1953	37	88	below	below	ADV
ap-1953	37	89	)	)	PUNCT
ap-1953	37	90	.	.	PUNCT
ap-1953	38	1	the	the	DET
ap-1953	38	2	energy	energy	NOUN
ap-1953	38	3	losses	loss	NOUN
ap-1953	38	4	b	b	NOUN
ap-1953	38	5	for	for	ADP
ap-1953	38	6	protons	proton	NOUN
ap-1953	38	7	or	or	CCONJ
ap-1953	38	8	nuclei	nucleus	NOUN
ap-1953	38	9	depend	depend	VERB
ap-1953	38	10	only	only	ADV
ap-1953	38	11	on	on	ADP
ap-1953	38	12	the	the	DET
ap-1953	38	13	cmb	cmb	NOUN
ap-1953	38	14	field	field	NOUN
ap-1953	38	15	and	and	CCONJ
ap-1953	38	16	in	in	ADP
ap-1953	38	17	the	the	DET
ap-1953	38	18	cel	cel	PROPN
ap-1953	38	19	hypothesis	hypothesis	NOUN
ap-1953	38	20	they	they	PRON
ap-1953	38	21	can	can	AUX
ap-1953	38	22	be	be	AUX
ap-1953	38	23	computed	compute	VERB
ap-1953	38	24	analytically	analytically	ADV
ap-1953	38	25	[	[	X
ap-1953	38	26	1	1	NUM
ap-1953	38	27	,	,	PUNCT
ap-1953	38	28	3	3	NUM
ap-1953	38	29	,	,	PUNCT
ap-1953	38	30	7	7	NUM
ap-1953	38	31	]	]	PUNCT
ap-1953	38	32	.	.	PUNCT
ap-1953	39	1	the	the	DET
ap-1953	39	2	second	second	ADJ
ap-1953	39	3	process	process	NOUN
ap-1953	39	4	that	that	PRON
ap-1953	39	5	affects	affect	VERB
ap-1953	39	6	nuclei	nucleus	NOUN
ap-1953	39	7	propagation	propagation	NOUN
ap-1953	39	8	is	be	AUX
ap-1953	39	9	photo	photo	NOUN
ap-1953	39	10	-	-	PUNCT
ap-1953	39	11	disintegration	disintegration	NOUN
ap-1953	39	12	over	over	ADP
ap-1953	39	13	cmb	cmb	PROPN
ap-1953	39	14	and	and	CCONJ
ap-1953	39	15	ebl	ebl	PROPN
ap-1953	39	16	backgrounds	background	NOUN
ap-1953	39	17	.	.	PUNCT
ap-1953	40	1	this	this	DET
ap-1953	40	2	process	process	NOUN
ap-1953	40	3	is	be	AUX
ap-1953	40	4	treated	treat	VERB
ap-1953	40	5	as	as	ADP
ap-1953	40	6	a	a	DET
ap-1953	40	7	decaying	decay	VERB
ap-1953	40	8	process	process	NOUN
ap-1953	40	9	that	that	PRON
ap-1953	40	10	depletes	deplete	VERB
ap-1953	40	11	the	the	DET
ap-1953	40	12	flux	flux	NOUN
ap-1953	40	13	of	of	ADP
ap-1953	40	14	nuclei	nucleus	NOUN
ap-1953	40	15	.	.	PUNCT
ap-1953	41	1	it	it	PRON
ap-1953	41	2	enters	enter	VERB
ap-1953	41	3	in	in	ADP
ap-1953	41	4	the	the	DET
ap-1953	41	5	kinetic	kinetic	ADJ
ap-1953	41	6	equation	equation	NOUN
ap-1953	41	7	(	(	PUNCT
ap-1953	41	8	see	see	VERB
ap-1953	41	9	eq	eq	NOUN
ap-1953	41	10	.	.	NOUN
ap-1953	41	11	2	2	NUM
ap-1953	41	12	)	)	PUNCT
ap-1953	41	13	through	through	ADP
ap-1953	41	14	a	a	DET
ap-1953	41	15	sort	sort	NOUN
ap-1953	41	16	of	of	ADP
ap-1953	41	17	“	"	PUNCT
ap-1953	41	18	life	life	NOUN
ap-1953	41	19	-	-	PUNCT
ap-1953	41	20	time	time	NOUN
ap-1953	41	21	”	"	PUNCT
ap-1953	41	22	of	of	ADP
ap-1953	41	23	the	the	DET
ap-1953	41	24	nucleus	nucleus	NOUN
ap-1953	41	25	under	under	ADP
ap-1953	41	26	the	the	DET
ap-1953	41	27	photo	photo	NOUN
ap-1953	41	28	-	-	PUNCT
ap-1953	41	29	disintegration	disintegration	NOUN
ap-1953	41	30	process	process	NOUN
ap-1953	41	31	.	.	PUNCT
ap-1953	42	1	this	this	DET
ap-1953	42	2	“	"	PUNCT
ap-1953	42	3	life	life	NOUN
ap-1953	42	4	-	-	PUNCT
ap-1953	42	5	time	time	NOUN
ap-1953	42	6	”	"	PUNCT
ap-1953	42	7	corresponds	correspond	VERB
ap-1953	42	8	to	to	ADP
ap-1953	42	9	the	the	DET
ap-1953	42	10	mean	mean	ADJ
ap-1953	42	11	time	time	NOUN
ap-1953	42	12	needed	need	VERB
ap-1953	42	13	for	for	ADP
ap-1953	42	14	a	a	DET
ap-1953	42	15	nucleus	nucleus	NOUN
ap-1953	42	16	of	of	ADP
ap-1953	42	17	lorentz	lorentz	PROPN
ap-1953	42	18	factor	factor	NOUN
ap-1953	42	19	γ	γ	PROPN
ap-1953	42	20	and	and	CCONJ
ap-1953	42	21	atomic	atomic	ADJ
ap-1953	42	22	mass	mass	NOUN
ap-1953	42	23	number	number	NOUN
ap-1953	42	24	a	a	PRON
ap-1953	42	25	to	to	PART
ap-1953	42	26	lose	lose	VERB
ap-1953	42	27	,	,	PUNCT
ap-1953	42	28	at	at	ADP
ap-1953	42	29	least	least	ADJ
ap-1953	42	30	,	,	PUNCT
ap-1953	42	31	one	one	NUM
ap-1953	42	32	of	of	ADP
ap-1953	42	33	its	its	PRON
ap-1953	42	34	nucleons	nucleon	NOUN
ap-1953	42	35	:	:	PUNCT
ap-1953	42	36	1	1	NUM
ap-1953	42	37	τa	τa	ADP
ap-1953	42	38	=	=	SYM
ap-1953	42	39	c	c	NOUN
ap-1953	42	40	2γ	2γ	X
ap-1953	42	41	2	2	NUM
ap-1953	42	42	∫	∫	NOUN
ap-1953	42	43	∞	∞	PROPN
ap-1953	42	44	ε0(a	ε0(a	PROPN
ap-1953	42	45	)	)	PUNCT
ap-1953	42	46	dεrσ(εr	dεrσ(εr	ADJ
ap-1953	42	47	,	,	PUNCT
ap-1953	42	48	a)ν(εr)εr	a)ν(εr)εr	ADJ
ap-1953	42	49	∫	∫	PROPN
ap-1953	42	50	∞	∞	PROPN
ap-1953	42	51	εr/(2γ	εr/(2γ	NOUN
ap-1953	42	52	)	)	PUNCT
ap-1953	42	53	dεnbkg(ε	dεnbkg(ε	NOUN
ap-1953	42	54	)	)	PUNCT
ap-1953	42	55	ε2	ε2	NOUN
ap-1953	42	56	(	(	PUNCT
ap-1953	42	57	3	3	NUM
ap-1953	42	58	)	)	PUNCT
ap-1953	42	59	where	where	SCONJ
ap-1953	42	60	σ(εr	σ(εr	PROPN
ap-1953	42	61	,	,	PUNCT
ap-1953	42	62	a	a	PRON
ap-1953	42	63	)	)	PUNCT
ap-1953	42	64	is	be	AUX
ap-1953	42	65	the	the	DET
ap-1953	42	66	photo	photo	NOUN
ap-1953	42	67	-	-	PUNCT
ap-1953	42	68	disintegration	disintegration	NOUN
ap-1953	42	69	cross	cross	NOUN
ap-1953	42	70	-	-	NOUN
ap-1953	42	71	section	section	NOUN
ap-1953	42	72	and	and	CCONJ
ap-1953	42	73	ν(εr	ν(εr	PROPN
ap-1953	42	74	)	)	PUNCT
ap-1953	43	1	is	be	AUX
ap-1953	43	2	the	the	DET
ap-1953	43	3	multiplicity	multiplicity	NOUN
ap-1953	43	4	associated	associate	VERB
ap-1953	43	5	with	with	ADP
ap-1953	43	6	this	this	DET
ap-1953	43	7	process	process	NOUN
ap-1953	43	8	,	,	PUNCT
ap-1953	43	9	namely	namely	ADV
ap-1953	43	10	the	the	DET
ap-1953	43	11	average	average	ADJ
ap-1953	43	12	number	number	NOUN
ap-1953	43	13	of	of	ADP
ap-1953	43	14	nucleons	nucleon	NOUN
ap-1953	43	15	extracted	extract	VERB
ap-1953	43	16	from	from	ADP
ap-1953	43	17	the	the	DET
ap-1953	43	18	nucleus	nucleus	NOUN
ap-1953	43	19	by	by	ADP
ap-1953	43	20	a	a	DET
ap-1953	43	21	single	single	ADJ
ap-1953	43	22	interaction	interaction	NOUN
ap-1953	43	23	and	and	CCONJ
ap-1953	43	24	nbkg	nbkg	NOUN
ap-1953	43	25	=	=	SYM
ap-1953	43	26	ncmb	ncmb	PROPN
ap-1953	44	1	+	+	NOUN
ap-1953	45	1	nebl	nebl	ADJ
ap-1953	45	2	.	.	PUNCT
ap-1953	46	1	the	the	DET
ap-1953	46	2	dependence	dependence	NOUN
ap-1953	46	3	on	on	ADP
ap-1953	46	4	red	red	ADJ
ap-1953	46	5	-	-	PUNCT
ap-1953	46	6	shift	shift	NOUN
ap-1953	46	7	of	of	ADP
ap-1953	46	8	τa	τa	PRON
ap-1953	46	9	follows	follow	VERB
ap-1953	46	10	directly	directly	ADV
ap-1953	46	11	from	from	ADP
ap-1953	46	12	the	the	DET
ap-1953	46	13	evolution	evolution	NOUN
ap-1953	46	14	with	with	ADP
ap-1953	46	15	red	red	ADJ
ap-1953	46	16	-	-	PUNCT
ap-1953	46	17	shift	shift	NOUN
ap-1953	46	18	of	of	ADP
ap-1953	46	19	the	the	DET
ap-1953	46	20	background	background	NOUN
ap-1953	46	21	photon	photon	NOUN
ap-1953	46	22	densities	densitie	VERB
ap-1953	46	23	ncmb	ncmb	NOUN
ap-1953	46	24	and	and	CCONJ
ap-1953	46	25	nebl	nebl	NOUN
ap-1953	46	26	.	.	PUNCT
ap-1953	47	1	in	in	ADP
ap-1953	47	2	the	the	DET
ap-1953	47	3	case	case	NOUN
ap-1953	47	4	of	of	ADP
ap-1953	47	5	cmb	cmb	PROPN
ap-1953	47	6	this	this	DET
ap-1953	47	7	dependence	dependence	NOUN
ap-1953	47	8	is	be	AUX
ap-1953	47	9	known	know	VERB
ap-1953	47	10	analytically	analytically	ADV
ap-1953	47	11	while	while	SCONJ
ap-1953	47	12	for	for	ADP
ap-1953	47	13	ebl	ebl	PROPN
ap-1953	47	14	one	one	PRON
ap-1953	47	15	should	should	AUX
ap-1953	47	16	refer	refer	VERB
ap-1953	47	17	to	to	ADP
ap-1953	47	18	evolution	evolution	NOUN
ap-1953	47	19	models	model	NOUN
ap-1953	47	20	(	(	PUNCT
ap-1953	47	21	in	in	ADP
ap-1953	47	22	our	our	PRON
ap-1953	47	23	computations	computation	NOUN
ap-1953	47	24	we	we	PRON
ap-1953	47	25	have	have	AUX
ap-1953	47	26	used	use	VERB
ap-1953	47	27	the	the	DET
ap-1953	47	28	model	model	NOUN
ap-1953	47	29	by	by	ADP
ap-1953	47	30	stecker	stecker	NOUN
ap-1953	47	31	et	et	PROPN
ap-1953	47	32	al	al	PROPN
ap-1953	47	33	.	.	PUNCT
ap-1953	48	1	[	[	X
ap-1953	48	2	12	12	NUM
ap-1953	48	3	]	]	PUNCT
ap-1953	48	4	)	)	PUNCT
ap-1953	48	5	.	.	PUNCT
ap-1953	49	1	one	one	NUM
ap-1953	49	2	important	important	ADJ
ap-1953	49	3	feature	feature	NOUN
ap-1953	49	4	of	of	ADP
ap-1953	49	5	the	the	DET
ap-1953	49	6	photo	photo	NOUN
ap-1953	49	7	-	-	PUNCT
ap-1953	49	8	disintegration	disintegration	NOUN
ap-1953	49	9	process	process	NOUN
ap-1953	49	10	is	be	AUX
ap-1953	49	11	that	that	SCONJ
ap-1953	49	12	it	it	PRON
ap-1953	49	13	starts	start	VERB
ap-1953	49	14	to	to	PART
ap-1953	49	15	contribute	contribute	VERB
ap-1953	49	16	to	to	ADP
ap-1953	49	17	the	the	DET
ap-1953	49	18	propagation	propagation	NOUN
ap-1953	49	19	of	of	ADP
ap-1953	49	20	nuclei	nucleus	NOUN
ap-1953	49	21	at	at	ADP
ap-1953	49	22	a	a	DET
ap-1953	49	23	lorentz	lorentz	ADJ
ap-1953	49	24	factor	factor	NOUN
ap-1953	49	25	that	that	PRON
ap-1953	49	26	is	be	AUX
ap-1953	49	27	almost	almost	ADV
ap-1953	49	28	independent	independent	ADJ
ap-1953	49	29	of	of	ADP
ap-1953	49	30	the	the	DET
ap-1953	49	31	nuclei	nuclei	PROPN
ap-1953	49	32	species	specie	NOUN
ap-1953	49	33	γcr	γcr	NOUN
ap-1953	49	34	'	'	PART
ap-1953	49	35	2	2	NUM
ap-1953	49	36	×	×	NOUN
ap-1953	49	37	109	109	NUM
ap-1953	50	1	[	[	X
ap-1953	50	2	3	3	NUM
ap-1953	50	3	]	]	PUNCT
ap-1953	50	4	.	.	PUNCT
ap-1953	51	1	this	this	PRON
ap-1953	51	2	is	be	AUX
ap-1953	51	3	an	an	DET
ap-1953	51	4	important	important	ADJ
ap-1953	51	5	general	general	ADJ
ap-1953	51	6	characteristic	characteristic	NOUN
ap-1953	51	7	of	of	ADP
ap-1953	51	8	nuclei	nucleus	NOUN
ap-1953	51	9	photo	photo	NOUN
ap-1953	51	10	-	-	PUNCT
ap-1953	51	11	disintegration	disintegration	NOUN
ap-1953	51	12	process	process	NOUN
ap-1953	51	13	from	from	ADP
ap-1953	51	14	which	which	PRON
ap-1953	51	15	we	we	PRON
ap-1953	51	16	can	can	AUX
ap-1953	51	17	immediately	immediately	ADV
ap-1953	51	18	deduce	deduce	VERB
ap-1953	51	19	the	the	DET
ap-1953	51	20	dependence	dependence	NOUN
ap-1953	51	21	on	on	ADP
ap-1953	51	22	the	the	DET
ap-1953	51	23	nuclei	nucleus	NOUN
ap-1953	51	24	species	specie	NOUN
ap-1953	51	25	of	of	ADP
ap-1953	51	26	the	the	DET
ap-1953	51	27	energy	energy	NOUN
ap-1953	51	28	corresponding	correspond	VERB
ap-1953	51	29	to	to	ADP
ap-1953	51	30	the	the	DET
ap-1953	51	31	photo	photo	NOUN
ap-1953	51	32	-	-	PUNCT
ap-1953	51	33	disintegration	disintegration	NOUN
ap-1953	51	34	suppression	suppression	NOUN
ap-1953	51	35	of	of	ADP
ap-1953	51	36	the	the	DET
ap-1953	51	37	flux	flux	NOUN
ap-1953	51	38	:	:	PUNCT
ap-1953	51	39	eacut	eacut	NOUN
ap-1953	51	40	=	=	SYM
ap-1953	51	41	amnγcr	amnγcr	PROPN
ap-1953	51	42	.	.	PUNCT
ap-1953	52	1	a	a	DET
ap-1953	52	2	being	be	AUX
ap-1953	52	3	the	the	DET
ap-1953	52	4	atomic	atomic	ADJ
ap-1953	52	5	mass	mass	NOUN
ap-1953	52	6	number	number	NOUN
ap-1953	52	7	of	of	ADP
ap-1953	52	8	the	the	DET
ap-1953	52	9	nucleus	nucleus	NOUN
ap-1953	52	10	andmn	andmn	VERB
ap-1953	52	11	the	the	DET
ap-1953	52	12	proton	proton	NOUN
ap-1953	52	13	mass	mass	NOUN
ap-1953	52	14	.	.	PUNCT
ap-1953	53	1	from	from	ADP
ap-1953	53	2	this	this	DET
ap-1953	53	3	expression	expression	NOUN
ap-1953	53	4	for	for	ADP
ap-1953	53	5	eacut	eacut	NOUN
ap-1953	53	6	it	it	PRON
ap-1953	53	7	is	be	AUX
ap-1953	53	8	evident	evident	ADJ
ap-1953	53	9	how	how	SCONJ
ap-1953	53	10	the	the	DET
ap-1953	53	11	flux	flux	NOUN
ap-1953	53	12	behavior	behavior	NOUN
ap-1953	53	13	could	could	AUX
ap-1953	53	14	provide	provide	VERB
ap-1953	53	15	informations	information	NOUN
ap-1953	53	16	on	on	ADP
ap-1953	53	17	the	the	DET
ap-1953	53	18	chemical	chemical	NOUN
ap-1953	53	19	composition	composition	NOUN
ap-1953	53	20	of	of	ADP
ap-1953	53	21	uhecr	uhecr	NOUN
ap-1953	53	22	.	.	PUNCT
ap-1953	54	1	in	in	ADP
ap-1953	54	2	the	the	DET
ap-1953	54	3	case	case	NOUN
ap-1953	54	4	of	of	ADP
ap-1953	54	5	helium	helium	NOUN
ap-1953	54	6	(	(	PUNCT
ap-1953	54	7	a	a	DET
ap-1953	54	8	=	=	NOUN
ap-1953	54	9	4	4	NUM
ap-1953	54	10	)	)	PUNCT
ap-1953	54	11	,	,	PUNCT
ap-1953	54	12	suppression	suppression	NOUN
ap-1953	54	13	is	be	AUX
ap-1953	54	14	expected	expect	VERB
ap-1953	54	15	around	around	ADP
ap-1953	54	16	energies	energy	NOUN
ap-1953	54	17	e	e	X
ap-1953	54	18	'	'	NUM
ap-1953	54	19	1019	1019	NUM
ap-1953	54	20	ev	ev	ADP
ap-1953	54	21	while	while	SCONJ
ap-1953	54	22	in	in	ADP
ap-1953	54	23	the	the	DET
ap-1953	54	24	case	case	NOUN
ap-1953	54	25	of	of	ADP
ap-1953	54	26	iron	iron	NOUN
ap-1953	54	27	(	(	PUNCT
ap-1953	54	28	a	a	DET
ap-1953	54	29	=	=	SYM
ap-1953	54	30	56	56	NUM
ap-1953	54	31	)	)	PUNCT
ap-1953	54	32	suppression	suppression	NOUN
ap-1953	54	33	is	be	AUX
ap-1953	54	34	expected	expect	VERB
ap-1953	54	35	at	at	ADP
ap-1953	54	36	higher	high	ADJ
ap-1953	54	37	energies	energy	NOUN
ap-1953	55	1	e	e	X
ap-1953	55	2	'	'	NUM
ap-1953	55	3	1020	1020	NUM
ap-1953	55	4	ev	ev	PRON
ap-1953	55	5	.	.	PROPN
ap-1953	56	1	let	let	VERB
ap-1953	56	2	us	we	PRON
ap-1953	56	3	now	now	ADV
ap-1953	56	4	discuss	discuss	VERB
ap-1953	56	5	the	the	DET
ap-1953	56	6	generation	generation	NOUN
ap-1953	56	7	function	function	NOUN
ap-1953	56	8	qa(γ	qa(γ	PROPN
ap-1953	56	9	,	,	PUNCT
ap-1953	56	10	t	t	PROPN
ap-1953	56	11	)	)	PUNCT
ap-1953	56	12	on	on	ADP
ap-1953	56	13	the	the	DET
ap-1953	56	14	right	right	ADJ
ap-1953	56	15	hand	hand	NOUN
ap-1953	56	16	side	side	NOUN
ap-1953	56	17	of	of	ADP
ap-1953	56	18	eq	eq	NOUN
ap-1953	56	19	.	.	PROPN
ap-1953	57	1	2	2	X
ap-1953	57	2	.	.	X
ap-1953	57	3	one	one	PRON
ap-1953	57	4	should	should	AUX
ap-1953	57	5	distinguish	distinguish	VERB
ap-1953	57	6	between	between	ADP
ap-1953	57	7	primary	primary	ADJ
ap-1953	57	8	nuclei	nucleus	NOUN
ap-1953	57	9	,	,	PUNCT
ap-1953	57	10	i.e.	i.e.	X
ap-1953	57	11	nuclei	nucleus	NOUN
ap-1953	57	12	accelerated	accelerate	VERB
ap-1953	57	13	at	at	ADP
ap-1953	57	14	the	the	DET
ap-1953	57	15	source	source	NOUN
ap-1953	57	16	and	and	CCONJ
ap-1953	57	17	injected	inject	VERB
ap-1953	57	18	in	in	ADP
ap-1953	57	19	the	the	DET
ap-1953	57	20	intergalactic	intergalactic	ADJ
ap-1953	57	21	space	space	NOUN
ap-1953	57	22	,	,	PUNCT
ap-1953	57	23	and	and	CCONJ
ap-1953	57	24	secondary	secondary	ADJ
ap-1953	57	25	nuclei	nucleus	NOUN
ap-1953	57	26	and	and	CCONJ
ap-1953	57	27	nucleons	nucleon	NOUN
ap-1953	57	28	,	,	PUNCT
ap-1953	57	29	i.e.	i.e.	X
ap-1953	57	30	particles	particle	NOUN
ap-1953	57	31	produced	produce	VERB
ap-1953	57	32	as	as	ADP
ap-1953	57	33	secondaries	secondary	NOUN
ap-1953	57	34	in	in	ADP
ap-1953	57	35	the	the	DET
ap-1953	57	36	photo	photo	NOUN
ap-1953	57	37	-	-	PUNCT
ap-1953	57	38	disintegration	disintegration	NOUN
ap-1953	57	39	chain	chain	NOUN
ap-1953	57	40	.	.	PUNCT
ap-1953	58	1	in	in	ADP
ap-1953	58	2	the	the	DET
ap-1953	58	3	case	case	NOUN
ap-1953	58	4	of	of	ADP
ap-1953	58	5	primaries	primary	NOUN
ap-1953	58	6	the	the	DET
ap-1953	58	7	injection	injection	NOUN
ap-1953	58	8	function	function	NOUN
ap-1953	58	9	is	be	AUX
ap-1953	58	10	an	an	DET
ap-1953	58	11	assumption	assumption	NOUN
ap-1953	58	12	of	of	ADP
ap-1953	58	13	the	the	DET
ap-1953	58	14	source	source	NOUN
ap-1953	58	15	model	model	NOUN
ap-1953	58	16	,	,	PUNCT
ap-1953	58	17	while	while	SCONJ
ap-1953	58	18	the	the	DET
ap-1953	58	19	injection	injection	NOUN
ap-1953	58	20	of	of	ADP
ap-1953	58	21	secondaries	secondary	NOUN
ap-1953	58	22	should	should	AUX
ap-1953	58	23	be	be	AUX
ap-1953	58	24	modeled	model	VERB
ap-1953	58	25	taking	take	VERB
ap-1953	58	26	into	into	ADP
ap-1953	58	27	account	account	NOUN
ap-1953	58	28	the	the	DET
ap-1953	58	29	characteristics	characteristic	NOUN
ap-1953	58	30	of	of	ADP
ap-1953	58	31	the	the	DET
ap-1953	58	32	photo	photo	NOUN
ap-1953	58	33	-	-	PUNCT
ap-1953	58	34	disintegration	disintegration	NOUN
ap-1953	58	35	process	process	NOUN
ap-1953	58	36	.	.	PUNCT
ap-1953	59	1	the	the	DET
ap-1953	59	2	dominant	dominant	ADJ
ap-1953	59	3	process	process	NOUN
ap-1953	59	4	of	of	ADP
ap-1953	59	5	photo	photo	NOUN
ap-1953	59	6	-	-	PUNCT
ap-1953	59	7	disintegration	disintegration	NOUN
ap-1953	59	8	is	be	AUX
ap-1953	59	9	one	one	NUM
ap-1953	59	10	nucleon	nucleon	NOUN
ap-1953	59	11	(	(	PUNCT
ap-1953	59	12	n	n	CCONJ
ap-1953	59	13	)	)	PUNCT
ap-1953	59	14	emission	emission	NOUN
ap-1953	59	15	,	,	PUNCT
ap-1953	59	16	namely	namely	ADV
ap-1953	59	17	the	the	DET
ap-1953	59	18	process	process	NOUN
ap-1953	59	19	(	(	PUNCT
ap-1953	59	20	a+	a+	X
ap-1953	59	21	1	1	NUM
ap-1953	59	22	)	)	PUNCT
ap-1953	59	23	+	+	NUM
ap-1953	59	24	γbkg	γbkg	NOUN
ap-1953	59	25	→	→	PUNCT
ap-1953	59	26	a+n	a+n	PROPN
ap-1953	59	27	.	.	PUNCT
ap-1953	60	1	this	this	PRON
ap-1953	60	2	follows	follow	VERB
ap-1953	60	3	directly	directly	ADV
ap-1953	60	4	from	from	ADP
ap-1953	60	5	the	the	DET
ap-1953	60	6	behavior	behavior	NOUN
ap-1953	60	7	of	of	ADP
ap-1953	60	8	the	the	DET
ap-1953	60	9	photo	photo	NOUN
ap-1953	60	10	-	-	PUNCT
ap-1953	60	11	disintegration	disintegration	NOUN
ap-1953	60	12	cross	cross	NOUN
ap-1953	60	13	-	-	NOUN
ap-1953	60	14	section	section	NOUN
ap-1953	60	15	(	(	PUNCT
ap-1953	60	16	see	see	VERB
ap-1953	60	17	[	[	X
ap-1953	60	18	3	3	NUM
ap-1953	60	19	,	,	PUNCT
ap-1953	60	20	and	and	CCONJ
ap-1953	60	21	references	reference	NOUN
ap-1953	60	22	therein	therein	ADV
ap-1953	60	23	]	]	PUNCT
ap-1953	60	24	)	)	PUNCT
ap-1953	60	25	which	which	PRON
ap-1953	60	26	shows	show	VERB
ap-1953	60	27	the	the	DET
ap-1953	60	28	giant	giant	ADJ
ap-1953	60	29	dipole	dipole	NOUN
ap-1953	60	30	resonance	resonance	NOUN
ap-1953	60	31	corresponding	correspond	VERB
ap-1953	60	32	to	to	ADP
ap-1953	60	33	one	one	NUM
ap-1953	60	34	nucleon	nucleon	NOUN
ap-1953	60	35	emission	emission	NOUN
ap-1953	60	36	.	.	PUNCT
ap-1953	61	1	moreover	moreover	ADV
ap-1953	61	2	,	,	PUNCT
ap-1953	61	3	at	at	ADP
ap-1953	61	4	the	the	DET
ap-1953	61	5	typical	typical	ADJ
ap-1953	61	6	energies	energy	NOUN
ap-1953	61	7	of	of	ADP
ap-1953	61	8	uhecr	uhecr	NOUN
ap-1953	61	9	(	(	PUNCT
ap-1953	61	10	e	e	X
ap-1953	61	11	>	>	X
ap-1953	61	12	1017	1017	NUM
ap-1953	61	13	ev	ev	NOUN
ap-1953	61	14	)	)	PUNCT
ap-1953	61	15	one	one	NOUN
ap-1953	61	16	can	can	AUX
ap-1953	61	17	safely	safely	ADV
ap-1953	61	18	neglect	neglect	VERB
ap-1953	61	19	the	the	DET
ap-1953	61	20	nucleus	nucleus	ADJ
ap-1953	61	21	recoil	recoil	NOUN
ap-1953	61	22	so	so	SCONJ
ap-1953	61	23	that	that	SCONJ
ap-1953	61	24	photo	photo	NOUN
ap-1953	61	25	-	-	PUNCT
ap-1953	61	26	disintegration	disintegration	NOUN
ap-1953	61	27	will	will	AUX
ap-1953	61	28	conserve	conserve	VERB
ap-1953	61	29	the	the	DET
ap-1953	61	30	lorentz	lorentz	PROPN
ap-1953	61	31	factor	factor	NOUN
ap-1953	61	32	of	of	ADP
ap-1953	61	33	the	the	DET
ap-1953	61	34	particles	particle	NOUN
ap-1953	61	35	.	.	PUNCT
ap-1953	62	1	the	the	DET
ap-1953	62	2	production	production	NOUN
ap-1953	62	3	rate	rate	NOUN
ap-1953	62	4	of	of	ADP
ap-1953	62	5	secondary	secondary	ADJ
ap-1953	62	6	a	a	PROPN
ap-1953	62	7	-	-	PUNCT
ap-1953	62	8	nucleus	nucleus	NOUN
ap-1953	62	9	and	and	CCONJ
ap-1953	62	10	a	a	PRON
ap-1953	62	11	-	-	PUNCT
ap-1953	62	12	associated	associate	VERB
ap-1953	62	13	nucleons	nucleon	NOUN
ap-1953	62	14	will	will	AUX
ap-1953	62	15	therefore	therefore	ADV
ap-1953	62	16	be	be	AUX
ap-1953	62	17	given	give	VERB
ap-1953	62	18	by	by	ADP
ap-1953	62	19	qa(γ	qa(γ	NOUN
ap-1953	62	20	,	,	PUNCT
ap-1953	62	21	z	z	NOUN
ap-1953	62	22	)	)	PUNCT
ap-1953	62	23	=	=	SYM
ap-1953	62	24	qap	qap	NOUN
ap-1953	62	25	(	(	PUNCT
ap-1953	62	26	γ	γ	X
ap-1953	62	27	,	,	PUNCT
ap-1953	62	28	z	z	NOUN
ap-1953	62	29	)	)	PUNCT
ap-1953	62	30	=	=	SYM
ap-1953	62	31	na+1(γ	na+1(γ	PROPN
ap-1953	62	32	,	,	PUNCT
ap-1953	62	33	z	z	NOUN
ap-1953	62	34	)	)	PUNCT
ap-1953	62	35	τa+1(γ	τa+1(γ	PROPN
ap-1953	62	36	,	,	PUNCT
ap-1953	62	37	z	z	NOUN
ap-1953	62	38	)	)	PUNCT
ap-1953	62	39	(	(	PUNCT
ap-1953	62	40	4	4	X
ap-1953	62	41	)	)	PUNCT
ap-1953	62	42	where	where	SCONJ
ap-1953	62	43	τa+1	τa+1	PRON
ap-1953	62	44	is	be	AUX
ap-1953	62	45	the	the	DET
ap-1953	62	46	photo	photo	NOUN
ap-1953	62	47	-	-	PUNCT
ap-1953	62	48	disintegration	disintegration	NOUN
ap-1953	62	49	life	life	NOUN
ap-1953	62	50	-	-	PUNCT
ap-1953	62	51	time	time	NOUN
ap-1953	62	52	of	of	ADP
ap-1953	62	53	the	the	DET
ap-1953	62	54	nucleus	nucleus	PROPN
ap-1953	62	55	father	father	NOUN
ap-1953	62	56	(	(	PUNCT
ap-1953	62	57	a	a	DET
ap-1953	62	58	+	+	NUM
ap-1953	62	59	1	1	NUM
ap-1953	62	60	)	)	PUNCT
ap-1953	62	61	and	and	CCONJ
ap-1953	62	62	na+1	na+1	NUM
ap-1953	62	63	is	be	AUX
ap-1953	62	64	its	its	PRON
ap-1953	62	65	equilibrium	equilibrium	NOUN
ap-1953	62	66	distribution	distribution	NOUN
ap-1953	62	67	,	,	PUNCT
ap-1953	62	68	the	the	DET
ap-1953	62	69	solution	solution	NOUN
ap-1953	62	70	of	of	ADP
ap-1953	62	71	the	the	DET
ap-1953	62	72	kinetic	kinetic	ADJ
ap-1953	62	73	equation	equation	NOUN
ap-1953	62	74	(	(	PUNCT
ap-1953	62	75	eq	eq	NOUN
ap-1953	62	76	.	.	NOUN
ap-1953	62	77	2	2	NUM
ap-1953	62	78	)	)	PUNCT
ap-1953	62	79	.	.	PUNCT
ap-1953	63	1	using	use	VERB
ap-1953	63	2	eq	eq	ADP
ap-1953	63	3	.	.	PROPN
ap-1953	63	4	4	4	NUM
ap-1953	63	5	we	we	PRON
ap-1953	63	6	can	can	AUX
ap-1953	63	7	build	build	VERB
ap-1953	63	8	a	a	DET
ap-1953	63	9	system	system	NOUN
ap-1953	63	10	of	of	ADP
ap-1953	63	11	coupled	couple	VERB
ap-1953	63	12	differential	differential	ADJ
ap-1953	63	13	equations	equation	NOUN
ap-1953	63	14	that	that	SCONJ
ap-1953	63	15	starting	start	VERB
ap-1953	63	16	from	from	ADP
ap-1953	63	17	the	the	DET
ap-1953	63	18	primary	primary	ADJ
ap-1953	63	19	injected	inject	VERB
ap-1953	63	20	nuclei	nucleus	NOUN
ap-1953	63	21	(	(	PUNCT
ap-1953	63	22	a0	a0	PROPN
ap-1953	63	23	)	)	PUNCT
ap-1953	63	24	follows	follow	VERB
ap-1953	63	25	the	the	DET
ap-1953	63	26	complete	complete	ADJ
ap-1953	63	27	photodisintegration	photodisintegration	NOUN
ap-1953	63	28	chain	chain	NOUN
ap-1953	63	29	for	for	ADP
ap-1953	63	30	all	all	DET
ap-1953	63	31	secondary	secondary	ADJ
ap-1953	63	32	nuclei	nucleus	NOUN
ap-1953	63	33	(	(	PUNCT
ap-1953	63	34	a	a	DET
ap-1953	63	35	<	<	X
ap-1953	63	36	a0	a0	NOUN
ap-1953	63	37	)	)	PUNCT
ap-1953	63	38	and	and	CCONJ
ap-1953	63	39	nucleons	nucleon	NOUN
ap-1953	63	40	.	.	PUNCT
ap-1953	64	1	clearly	clearly	ADV
ap-1953	64	2	secondary	secondary	ADJ
ap-1953	64	3	proton1	proton1	NOUN
ap-1953	64	4	propagation	propagation	NOUN
ap-1953	64	5	will	will	AUX
ap-1953	64	6	be	be	AUX
ap-1953	64	7	described	describe	VERB
ap-1953	64	8	by	by	ADP
ap-1953	64	9	the	the	DET
ap-1953	64	10	proper	proper	ADJ
ap-1953	64	11	kinetic	kinetic	ADJ
ap-1953	64	12	equation	equation	NOUN
ap-1953	64	13	(	(	PUNCT
ap-1953	64	14	eq	eq	NOUN
ap-1953	64	15	.	.	NOUN
ap-1953	64	16	1	1	NUM
ap-1953	64	17	)	)	PUNCT
ap-1953	64	18	with	with	ADP
ap-1953	64	19	an	an	DET
ap-1953	64	20	injection	injection	NOUN
ap-1953	64	21	term	term	NOUN
ap-1953	64	22	given	give	VERB
ap-1953	64	23	by	by	ADP
ap-1953	64	24	eq	eq	ADJ
ap-1953	64	25	.	.	PROPN
ap-1953	64	26	4	4	X
ap-1953	64	27	.	.	X
ap-1953	65	1	the	the	DET
ap-1953	65	2	solution	solution	NOUN
ap-1953	65	3	1neutrons	1neutrons	NUM
ap-1953	65	4	decay	decay	VERB
ap-1953	65	5	very	very	ADV
ap-1953	65	6	fast	fast	ADV
ap-1953	65	7	into	into	ADP
ap-1953	65	8	protons	proton	NOUN
ap-1953	65	9	,	,	PUNCT
ap-1953	65	10	so	so	SCONJ
ap-1953	65	11	we	we	PRON
ap-1953	65	12	will	will	AUX
ap-1953	65	13	always	always	ADV
ap-1953	65	14	refer	refer	VERB
ap-1953	65	15	to	to	ADP
ap-1953	65	16	secondary	secondary	ADJ
ap-1953	65	17	protons	proton	NOUN
ap-1953	65	18	.	.	PUNCT
ap-1953	66	1	704	704	NUM
ap-1953	66	2	vol	vol	NOUN
ap-1953	66	3	.	.	PUNCT
ap-1953	67	1	53	53	NUM
ap-1953	67	2	supplement/2013	supplement/2013	ADJ
ap-1953	67	3	computational	computational	ADJ
ap-1953	67	4	schemes	scheme	NOUN
ap-1953	67	5	for	for	ADP
ap-1953	67	6	the	the	DET
ap-1953	67	7	propagation	propagation	NOUN
ap-1953	67	8	of	of	ADP
ap-1953	67	9	ultra	ultra	ADJ
ap-1953	67	10	high	high	ADJ
ap-1953	67	11	energy	energy	NOUN
ap-1953	67	12	cosmic	cosmic	ADJ
ap-1953	67	13	rays	ray	NOUN
ap-1953	67	14	(	(	PUNCT
ap-1953	67	15	e	e	X
ap-1953	67	16	/	/	SYM
ap-1953	67	17	ev	ev	VERB
ap-1953	67	18	)	)	PUNCT
ap-1953	67	19	10	10	NUM
ap-1953	67	20	log	log	NOUN
ap-1953	67	21	18	18	NUM
ap-1953	67	22	18.5	18.5	NUM
ap-1953	67	23	19	19	NUM
ap-1953	67	24	19.5	19.5	NUM
ap-1953	67	25	20	20	NUM
ap-1953	67	26	20.5	20.5	NUM
ap-1953	67	27	]	]	PUNCT
ap-1953	67	28	­1	­1	PROPN
ap-1953	67	29	y	y	PROPN
ap-1953	67	30	r	r	NOUN
ap-1953	67	31	­1	­1	PROPN
ap-1953	67	32	sr	sr	PROPN
ap-1953	67	33	­2	­2	PROPN
ap-1953	68	1	k	k	PROPN
ap-1953	68	2	m	m	VERB
ap-1953	68	3	2	2	NUM
ap-1953	68	4	j	j	NOUN
ap-1953	69	1	[	[	X
ap-1953	69	2	e	e	X
ap-1953	69	3	v	v	ADP
ap-1953	69	4	3	3	NUM
ap-1953	69	5	e	e	NOUN
ap-1953	69	6	33	33	NUM
ap-1953	69	7	10	10	NUM
ap-1953	69	8	34	34	NUM
ap-1953	69	9	10	10	NUM
ap-1953	69	10	35	35	NUM
ap-1953	69	11	10	10	NUM
ap-1953	69	12	36	36	NUM
ap-1953	69	13	10	10	NUM
ap-1953	69	14	37	37	NUM
ap-1953	69	15	10	10	NUM
ap-1953	69	16	56	56	NUM
ap-1953	69	17	50	50	NUM
ap-1953	69	18	40	40	NUM
ap-1953	69	19	30	30	NUM
ap-1953	69	20	20	20	NUM
ap-1953	69	21	10	10	NUM
ap-1953	69	22	figure	figure	NOUN
ap-1953	69	23	1	1	NUM
ap-1953	69	24	.	.	PUNCT
ap-1953	69	25	flux	flux	NOUN
ap-1953	69	26	of	of	ADP
ap-1953	69	27	iron	iron	NOUN
ap-1953	69	28	and	and	CCONJ
ap-1953	69	29	secondary	secondary	ADJ
ap-1953	69	30	nuclei	nucleus	NOUN
ap-1953	69	31	(	(	PUNCT
ap-1953	69	32	a	a	DET
ap-1953	69	33	=	=	SYM
ap-1953	69	34	50	50	NUM
ap-1953	69	35	,	,	PUNCT
ap-1953	69	36	40	40	NUM
ap-1953	69	37	,	,	PUNCT
ap-1953	69	38	30	30	NUM
ap-1953	69	39	,	,	PUNCT
ap-1953	69	40	20	20	NUM
ap-1953	69	41	,	,	PUNCT
ap-1953	69	42	10	10	NUM
ap-1953	69	43	)	)	PUNCT
ap-1953	69	44	at	at	ADP
ap-1953	69	45	z	z	NOUN
ap-1953	69	46	=	=	SYM
ap-1953	69	47	0	0	NUM
ap-1953	69	48	in	in	ADP
ap-1953	69	49	the	the	DET
ap-1953	69	50	case	case	NOUN
ap-1953	69	51	of	of	ADP
ap-1953	69	52	pure	pure	ADJ
ap-1953	69	53	iron	iron	NOUN
ap-1953	69	54	injection	injection	NOUN
ap-1953	69	55	at	at	ADP
ap-1953	69	56	the	the	DET
ap-1953	69	57	source	source	NOUN
ap-1953	69	58	with	with	ADP
ap-1953	69	59	a	a	DET
ap-1953	69	60	power	power	NOUN
ap-1953	69	61	law	law	NOUN
ap-1953	69	62	injection	injection	NOUN
ap-1953	69	63	index	index	NOUN
ap-1953	69	64	γ	γ	X
ap-1953	69	65	=	=	SYM
ap-1953	69	66	2.2	2.2	NUM
ap-1953	69	67	.	.	PUNCT
ap-1953	70	1	full	full	ADJ
ap-1953	70	2	squares	square	NOUN
ap-1953	70	3	correspond	correspond	VERB
ap-1953	70	4	to	to	ADP
ap-1953	70	5	the	the	DET
ap-1953	70	6	simprop	simprop	NOUN
ap-1953	70	7	result	result	NOUN
ap-1953	70	8	[	[	X
ap-1953	70	9	4	4	X
ap-1953	70	10	]	]	PUNCT
ap-1953	70	11	while	while	SCONJ
ap-1953	70	12	continuous	continuous	ADJ
ap-1953	70	13	lines	line	NOUN
ap-1953	70	14	correspond	correspond	VERB
ap-1953	70	15	to	to	ADP
ap-1953	70	16	the	the	DET
ap-1953	70	17	solution	solution	NOUN
ap-1953	70	18	of	of	ADP
ap-1953	70	19	the	the	DET
ap-1953	70	20	nuclei	nucleus	NOUN
ap-1953	70	21	kinetic	kinetic	ADJ
ap-1953	70	22	equation	equation	NOUN
ap-1953	70	23	of	of	ADP
ap-1953	70	24	[	[	X
ap-1953	70	25	3	3	NUM
ap-1953	70	26	]	]	PUNCT
ap-1953	70	27	.	.	PUNCT
ap-1953	71	1	of	of	ADP
ap-1953	71	2	the	the	DET
ap-1953	71	3	kinetic	kinetic	ADJ
ap-1953	71	4	equation	equation	NOUN
ap-1953	71	5	for	for	ADP
ap-1953	71	6	protons	proton	NOUN
ap-1953	71	7	and	and	CCONJ
ap-1953	71	8	nuclei	nucleus	NOUN
ap-1953	71	9	can	can	AUX
ap-1953	71	10	be	be	AUX
ap-1953	71	11	worked	work	VERB
ap-1953	71	12	out	out	ADP
ap-1953	71	13	analytically	analytically	ADV
ap-1953	71	14	.	.	PUNCT
ap-1953	72	1	in	in	ADP
ap-1953	72	2	the	the	DET
ap-1953	72	3	case	case	NOUN
ap-1953	72	4	of	of	ADP
ap-1953	72	5	protons	proton	NOUN
ap-1953	72	6	:	:	PUNCT
ap-1953	72	7	np(γ	np(γ	NOUN
ap-1953	72	8	,	,	PUNCT
ap-1953	72	9	z	z	NOUN
ap-1953	72	10	)	)	PUNCT
ap-1953	72	11	=	=	SYM
ap-1953	73	1	∫	∫	PROPN
ap-1953	73	2	zmax	zmax	PROPN
ap-1953	73	3	z	z	X
ap-1953	73	4	dz′	dz′	X
ap-1953	73	5	(	(	PUNCT
ap-1953	73	6	1	1	NUM
ap-1953	73	7	+	+	NUM
ap-1953	73	8	z′)h(z′)qp(γ	z′)h(z′)qp(γ	NUM
ap-1953	73	9	′	′	NOUN
ap-1953	73	10	,	,	PUNCT
ap-1953	73	11	z)dγ	z)dγ	PROPN
ap-1953	73	12	′	′	NUM
ap-1953	74	1	dγ	dγ	ADP
ap-1953	74	2	,	,	PUNCT
ap-1953	74	3	(	(	PUNCT
ap-1953	74	4	5	5	X
ap-1953	74	5	)	)	PUNCT
ap-1953	74	6	beingqp	beingqp	NOUN
ap-1953	74	7	the	the	DET
ap-1953	74	8	injection	injection	NOUN
ap-1953	74	9	of	of	ADP
ap-1953	74	10	primary	primary	ADJ
ap-1953	74	11	protons	proton	NOUN
ap-1953	74	12	or	or	CCONJ
ap-1953	74	13	secondary	secondary	ADJ
ap-1953	74	14	protons	proton	NOUN
ap-1953	74	15	(	(	PUNCT
ap-1953	74	16	eq	eq	NOUN
ap-1953	74	17	.	.	NOUN
ap-1953	74	18	4	4	NUM
ap-1953	74	19	)	)	PUNCT
ap-1953	74	20	and	and	CCONJ
ap-1953	74	21	γ	γ	X
ap-1953	74	22	′	′	NUM
ap-1953	74	23	=	=	PUNCT
ap-1953	74	24	γ	γ	X
ap-1953	74	25	′(γ	′(γ	NOUN
ap-1953	74	26	,	,	PUNCT
ap-1953	74	27	z	z	NOUN
ap-1953	74	28	)	)	PUNCT
ap-1953	74	29	is	be	AUX
ap-1953	74	30	the	the	DET
ap-1953	74	31	characteristic	characteristic	ADJ
ap-1953	74	32	function	function	NOUN
ap-1953	74	33	of	of	ADP
ap-1953	74	34	the	the	DET
ap-1953	74	35	kinetic	kinetic	ADJ
ap-1953	74	36	equation	equation	NOUN
ap-1953	74	37	[	[	X
ap-1953	74	38	3	3	NUM
ap-1953	74	39	]	]	PUNCT
ap-1953	74	40	.	.	PUNCT
ap-1953	75	1	in	in	ADP
ap-1953	75	2	the	the	DET
ap-1953	75	3	case	case	NOUN
ap-1953	75	4	of	of	ADP
ap-1953	75	5	nuclei	nucleus	NOUN
ap-1953	75	6	:	:	PUNCT
ap-1953	75	7	na(γ	na(γ	NUM
ap-1953	75	8	,	,	PUNCT
ap-1953	75	9	z	z	NOUN
ap-1953	75	10	)	)	PUNCT
ap-1953	75	11	=	=	PUNCT
ap-1953	75	12	=	=	SYM
ap-1953	75	13	∫	∫	PROPN
ap-1953	75	14	zmax	zmax	PROPN
ap-1953	75	15	z	z	X
ap-1953	75	16	dz′	dz′	X
ap-1953	75	17	(	(	PUNCT
ap-1953	75	18	1	1	NUM
ap-1953	75	19	+	+	CCONJ
ap-1953	75	20	z′)h(z′)qa(γ	z′)h(z′)qa(γ	NUM
ap-1953	75	21	′	′	NUM
ap-1953	75	22	,	,	PUNCT
ap-1953	75	23	z)dγ	z)dγ	PROPN
ap-1953	75	24	′	′	NUM
ap-1953	75	25	dγ	dγ	AUX
ap-1953	75	26	e−ηa(γ	e−ηa(γ	PROPN
ap-1953	75	27	′,z′	′,z′	NOUN
ap-1953	75	28	)	)	PUNCT
ap-1953	75	29	,	,	PUNCT
ap-1953	75	30	(	(	PUNCT
ap-1953	75	31	6	6	X
ap-1953	75	32	)	)	PUNCT
ap-1953	75	33	being	be	AUX
ap-1953	75	34	,	,	PUNCT
ap-1953	75	35	again	again	ADV
ap-1953	75	36	,	,	PUNCT
ap-1953	75	37	qa	qa	PROPN
ap-1953	75	38	the	the	DET
ap-1953	75	39	injection	injection	NOUN
ap-1953	75	40	of	of	ADP
ap-1953	75	41	primary	primary	ADJ
ap-1953	75	42	or	or	CCONJ
ap-1953	75	43	secondary	secondary	ADJ
ap-1953	75	44	(	(	PUNCT
ap-1953	75	45	eq	eq	NOUN
ap-1953	75	46	.	.	NOUN
ap-1953	75	47	4	4	NUM
ap-1953	75	48	)	)	PUNCT
ap-1953	75	49	nuclei	nucleus	NOUN
ap-1953	75	50	.	.	PUNCT
ap-1953	76	1	the	the	DET
ap-1953	76	2	exponential	exponential	ADJ
ap-1953	76	3	term	term	NOUN
ap-1953	76	4	in	in	ADP
ap-1953	76	5	eq	eq	NOUN
ap-1953	76	6	.	.	PROPN
ap-1953	76	7	6	6	NUM
ap-1953	76	8	represents	represent	VERB
ap-1953	76	9	the	the	DET
ap-1953	76	10	survival	survival	NOUN
ap-1953	76	11	probability	probability	NOUN
ap-1953	76	12	during	during	ADP
ap-1953	76	13	the	the	DET
ap-1953	76	14	propagation	propagation	NOUN
ap-1953	76	15	time	time	NOUN
ap-1953	76	16	t′	t′	NUM
ap-1953	76	17	−	−	PROPN
ap-1953	76	18	t	t	PROPN
ap-1953	76	19	for	for	ADP
ap-1953	76	20	a	a	DET
ap-1953	76	21	nucleus	nucleus	NOUN
ap-1953	76	22	with	with	ADP
ap-1953	76	23	fixed	fix	VERB
ap-1953	76	24	a	a	PRON
ap-1953	76	25	and	and	CCONJ
ap-1953	76	26	can	can	AUX
ap-1953	76	27	be	be	AUX
ap-1953	76	28	computed	compute	VERB
ap-1953	76	29	according	accord	VERB
ap-1953	76	30	to	to	ADP
ap-1953	76	31	aloisio	aloisio	PROPN
ap-1953	76	32	et	et	PROPN
ap-1953	76	33	al	al	PROPN
ap-1953	76	34	.	.	PUNCT
ap-1953	77	1	[	[	X
ap-1953	77	2	3	3	NUM
ap-1953	77	3	]	]	PUNCT
ap-1953	77	4	.	.	PUNCT
ap-1953	78	1	the	the	DET
ap-1953	78	2	derivative	derivative	ADJ
ap-1953	78	3	term	term	NOUN
ap-1953	78	4	dγ	dγ	ADP
ap-1953	78	5	′/dγ	′/dγ	PROPN
ap-1953	78	6	present	present	ADJ
ap-1953	78	7	in	in	ADP
ap-1953	78	8	both	both	DET
ap-1953	78	9	solutions	solution	NOUN
ap-1953	78	10	eq	eq	ADP
ap-1953	78	11	.	.	PROPN
ap-1953	78	12	5	5	NUM
ap-1953	78	13	and	and	CCONJ
ap-1953	78	14	eq	eq	NOUN
ap-1953	78	15	.	.	PROPN
ap-1953	78	16	6	6	NUM
ap-1953	78	17	is	be	AUX
ap-1953	78	18	analytically	analytically	ADV
ap-1953	78	19	given	give	VERB
ap-1953	78	20	[	[	X
ap-1953	78	21	3	3	NUM
ap-1953	78	22	]	]	PUNCT
ap-1953	78	23	.	.	PUNCT
ap-1953	79	1	3	3	X
ap-1953	79	2	.	.	X
ap-1953	79	3	monte	monte	PROPN
ap-1953	79	4	carlo	carlo	PROPN
ap-1953	79	5	the	the	DET
ap-1953	79	6	kinetic	kinetic	ADJ
ap-1953	79	7	approach	approach	NOUN
ap-1953	79	8	outlined	outline	VERB
ap-1953	79	9	above	above	ADV
ap-1953	79	10	neglects	neglect	VERB
ap-1953	79	11	interactions	interaction	NOUN
ap-1953	79	12	fluctuations	fluctuation	NOUN
ap-1953	79	13	considering	consider	VERB
ap-1953	79	14	an	an	DET
ap-1953	79	15	(	(	PUNCT
ap-1953	79	16	average	average	ADJ
ap-1953	79	17	)	)	PUNCT
ap-1953	79	18	continuum	continuum	ADJ
ap-1953	79	19	loss	loss	NOUN
ap-1953	79	20	of	of	ADP
ap-1953	79	21	energy	energy	NOUN
ap-1953	79	22	suffered	suffer	VERB
ap-1953	79	23	by	by	ADP
ap-1953	79	24	particles	particle	NOUN
ap-1953	79	25	.	.	PUNCT
ap-1953	80	1	in	in	ADP
ap-1953	80	2	the	the	DET
ap-1953	80	3	case	case	NOUN
ap-1953	80	4	of	of	ADP
ap-1953	80	5	protons	proton	NOUN
ap-1953	80	6	,	,	PUNCT
ap-1953	80	7	this	this	DET
ap-1953	80	8	approximation	approximation	NOUN
ap-1953	80	9	has	have	VERB
ap-1953	80	10	a	a	DET
ap-1953	80	11	limited	limited	ADJ
ap-1953	80	12	effect	effect	NOUN
ap-1953	80	13	on	on	ADP
ap-1953	80	14	the	the	DET
ap-1953	80	15	flux	flux	NOUN
ap-1953	80	16	computation	computation	NOUN
ap-1953	80	17	only	only	ADV
ap-1953	80	18	at	at	ADP
ap-1953	80	19	the	the	DET
ap-1953	80	20	highest	high	ADJ
ap-1953	80	21	energies	energy	NOUN
ap-1953	80	22	(	(	PUNCT
ap-1953	80	23	e	e	X
ap-1953	80	24	>	>	X
ap-1953	80	25	100eev	100eev	NUM
ap-1953	80	26	)	)	PUNCT
ap-1953	81	1	[	[	X
ap-1953	81	2	1	1	NUM
ap-1953	81	3	,	,	PUNCT
ap-1953	81	4	7	7	NUM
ap-1953	81	5	,	,	PUNCT
ap-1953	81	6	8	8	NUM
ap-1953	81	7	]	]	PUNCT
ap-1953	81	8	.	.	PUNCT
ap-1953	82	1	in	in	ADP
ap-1953	82	2	order	order	NOUN
ap-1953	82	3	to	to	PART
ap-1953	82	4	evaluate	evaluate	VERB
ap-1953	82	5	the	the	DET
ap-1953	82	6	effects	effect	NOUN
ap-1953	82	7	of	of	ADP
ap-1953	82	8	fluctuations	fluctuation	NOUN
ap-1953	82	9	on	on	ADP
ap-1953	82	10	the	the	DET
ap-1953	82	11	expected	expect	VERB
ap-1953	82	12	nuclei	nucleus	NOUN
ap-1953	82	13	flux	flux	NOUN
ap-1953	82	14	,	,	PUNCT
ap-1953	82	15	we	we	PRON
ap-1953	82	16	have	have	AUX
ap-1953	82	17	built	build	VERB
ap-1953	82	18	a	a	DET
ap-1953	82	19	computation	computation	NOUN
ap-1953	82	20	scheme	scheme	NOUN
ap-1953	82	21	alternative	alternative	NOUN
ap-1953	82	22	to	to	ADP
ap-1953	82	23	the	the	DET
ap-1953	82	24	kinetic	kinetic	ADJ
ap-1953	82	25	one	one	NOUN
ap-1953	82	26	,	,	PUNCT
ap-1953	82	27	which	which	PRON
ap-1953	82	28	uses	use	VERB
ap-1953	82	29	the	the	DET
ap-1953	82	30	mc	mc	PROPN
ap-1953	82	31	technique	technique	NOUN
ap-1953	82	32	to	to	PART
ap-1953	82	33	simulate	simulate	VERB
ap-1953	82	34	nuclei	nucleus	NOUN
ap-1953	82	35	interactions	interaction	NOUN
ap-1953	82	36	.	.	PUNCT
ap-1953	83	1	first	first	ADV
ap-1953	83	2	of	of	ADP
ap-1953	83	3	all	all	PRON
ap-1953	83	4	,	,	PUNCT
ap-1953	83	5	let	let	VERB
ap-1953	83	6	us	we	PRON
ap-1953	83	7	remark	remark	VERB
ap-1953	83	8	that	that	SCONJ
ap-1953	83	9	fluctuations	fluctuation	NOUN
ap-1953	83	10	could	could	AUX
ap-1953	83	11	be	be	AUX
ap-1953	83	12	relevant	relevant	ADJ
ap-1953	83	13	only	only	ADV
ap-1953	83	14	in	in	ADP
ap-1953	83	15	the	the	DET
ap-1953	83	16	case	case	NOUN
ap-1953	83	17	of	of	ADP
ap-1953	83	18	nuclei	nucleus	NOUN
ap-1953	83	19	photo	photo	NOUN
ap-1953	83	20	-	-	PUNCT
ap-1953	83	21	disintegration	disintegration	NOUN
ap-1953	83	22	.	.	PUNCT
ap-1953	84	1	this	this	PRON
ap-1953	84	2	follows	follow	VERB
ap-1953	84	3	from	from	ADP
ap-1953	84	4	the	the	DET
ap-1953	84	5	fact	fact	NOUN
ap-1953	84	6	that	that	SCONJ
ap-1953	84	7	the	the	DET
ap-1953	84	8	pair	pair	NOUN
ap-1953	84	9	-	-	PUNCT
ap-1953	84	10	production	production	NOUN
ap-1953	84	11	process	process	NOUN
ap-1953	84	12	involving	involve	VERB
ap-1953	84	13	nuclei	nucleus	NOUN
ap-1953	84	14	can	can	AUX
ap-1953	84	15	be	be	AUX
ap-1953	84	16	considered	consider	VERB
ap-1953	84	17	as	as	ADP
ap-1953	84	18	an	an	DET
ap-1953	84	19	interaction	interaction	NOUN
ap-1953	84	20	process	process	NOUN
ap-1953	84	21	of	of	ADP
ap-1953	84	22	the	the	DET
ap-1953	84	23	inside	inside	ADJ
ap-1953	84	24	nucleon	nucleon	NOUN
ap-1953	84	25	,	,	PUNCT
ap-1953	84	26	therefore	therefore	ADV
ap-1953	84	27	fluctuations	fluctuation	NOUN
ap-1953	84	28	in	in	ADP
ap-1953	84	29	proton	proton	NOUN
ap-1953	84	30	pair	pair	NOUN
ap-1953	84	31	-	-	PUNCT
ap-1953	84	32	production	production	NOUN
ap-1953	84	33	are	be	AUX
ap-1953	84	34	irrelevant	irrelevant	ADJ
ap-1953	84	35	[	[	X
ap-1953	84	36	8	8	NUM
ap-1953	84	37	]	]	PUNCT
ap-1953	84	38	,	,	PUNCT
ap-1953	84	39	and	and	CCONJ
ap-1953	84	40	the	the	DET
ap-1953	84	41	same	same	ADJ
ap-1953	84	42	holds	hold	VERB
ap-1953	84	43	for	for	ADP
ap-1953	84	44	nuclei	nucleus	NOUN
ap-1953	84	45	.	.	PUNCT
ap-1953	85	1	the	the	DET
ap-1953	85	2	simprop	simprop	NOUN
ap-1953	85	3	mc	mc	PROPN
ap-1953	85	4	simulation	simulation	PROPN
ap-1953	85	5	scheme	scheme	NOUN
ap-1953	85	6	that	that	SCONJ
ap-1953	85	7	we	we	PRON
ap-1953	85	8	have	have	AUX
ap-1953	85	9	developed	develop	VERB
ap-1953	85	10	[	[	PUNCT
ap-1953	85	11	4	4	NUM
ap-1953	85	12	]	]	PUNCT
ap-1953	85	13	is	be	AUX
ap-1953	85	14	mono	mono	NOUN
ap-1953	85	15	-	-	PUNCT
ap-1953	85	16	dimensional	dimensional	ADJ
ap-1953	85	17	:	:	PUNCT
ap-1953	85	18	it	it	PRON
ap-1953	85	19	does	do	AUX
ap-1953	85	20	not	not	PART
ap-1953	85	21	take	take	VERB
ap-1953	85	22	into	into	ADP
ap-1953	85	23	account	account	NOUN
ap-1953	85	24	spatial	spatial	ADJ
ap-1953	85	25	distributions	distribution	NOUN
ap-1953	85	26	tagging	tag	VERB
ap-1953	85	27	sources	source	NOUN
ap-1953	85	28	only	only	ADV
ap-1953	85	29	through	through	ADP
ap-1953	85	30	their	their	PRON
ap-1953	85	31	distance	distance	NOUN
ap-1953	85	32	from	from	ADP
ap-1953	85	33	the	the	DET
ap-1953	85	34	observer	observer	NOUN
ap-1953	85	35	(	(	PUNCT
ap-1953	85	36	red	red	ADJ
ap-1953	85	37	-	-	PUNCT
ap-1953	85	38	shift	shift	NOUN
ap-1953	85	39	)	)	PUNCT
ap-1953	85	40	.	.	PUNCT
ap-1953	86	1	the	the	DET
ap-1953	86	2	mc	mc	PROPN
ap-1953	86	3	simulation	simulation	PROPN
ap-1953	86	4	propagates	propagate	VERB
ap-1953	86	5	particles	particle	NOUN
ap-1953	86	6	in	in	ADP
ap-1953	86	7	steps	step	NOUN
ap-1953	86	8	of	of	ADP
ap-1953	86	9	red	red	ADJ
ap-1953	86	10	-	-	PUNCT
ap-1953	86	11	shift	shift	NOUN
ap-1953	86	12	following	follow	VERB
ap-1953	86	13	the	the	DET
ap-1953	86	14	injected	inject	VERB
ap-1953	86	15	nucleus	nucleus	NOUN
ap-1953	86	16	,	,	PUNCT
ap-1953	86	17	the	the	DET
ap-1953	86	18	secondary	secondary	ADJ
ap-1953	86	19	nuclei	nucleus	NOUN
ap-1953	86	20	and	and	CCONJ
ap-1953	86	21	protons	proton	NOUN
ap-1953	86	22	produced	produce	VERB
ap-1953	86	23	at	at	ADP
ap-1953	86	24	each	each	DET
ap-1953	86	25	photo	photo	NOUN
ap-1953	86	26	-	-	PUNCT
ap-1953	86	27	disintegration	disintegration	NOUN
ap-1953	86	28	interaction	interaction	NOUN
ap-1953	86	29	and	and	CCONJ
ap-1953	86	30	calculates	calculate	VERB
ap-1953	86	31	their	their	PRON
ap-1953	86	32	losses	loss	NOUN
ap-1953	86	33	up	up	ADP
ap-1953	86	34	to	to	ADP
ap-1953	86	35	the	the	DET
ap-1953	86	36	observer	observer	NOUN
ap-1953	86	37	,	,	PUNCT
ap-1953	86	38	placed	place	VERB
ap-1953	86	39	at	at	ADP
ap-1953	86	40	red	red	ADJ
ap-1953	86	41	shift	shift	NOUN
ap-1953	86	42	zero	zero	NUM
ap-1953	86	43	.	.	PUNCT
ap-1953	87	1	the	the	DET
ap-1953	87	2	nuclear	nuclear	ADJ
ap-1953	87	3	model	model	NOUN
ap-1953	87	4	on	on	ADP
ap-1953	87	5	which	which	PRON
ap-1953	87	6	simprop	simprop	NOUN
ap-1953	87	7	is	be	AUX
ap-1953	87	8	based	base	VERB
ap-1953	87	9	is	be	AUX
ap-1953	87	10	the	the	DET
ap-1953	87	11	same	same	ADJ
ap-1953	87	12	as	as	SCONJ
ap-1953	87	13	is	be	AUX
ap-1953	87	14	used	use	VERB
ap-1953	87	15	for	for	ADP
ap-1953	87	16	the	the	DET
ap-1953	87	17	kinetic	kinetic	ADJ
ap-1953	87	18	approach	approach	NOUN
ap-1953	87	19	(	(	PUNCT
ap-1953	87	20	see	see	VERB
ap-1953	87	21	[	[	X
ap-1953	87	22	3	3	NUM
ap-1953	87	23	,	,	PUNCT
ap-1953	87	24	4	4	NUM
ap-1953	87	25	,	,	PUNCT
ap-1953	87	26	and	and	CCONJ
ap-1953	87	27	references	reference	NOUN
ap-1953	87	28	therein	therein	ADV
ap-1953	87	29	]	]	PUNCT
ap-1953	87	30	)	)	PUNCT
ap-1953	87	31	.	.	PUNCT
ap-1953	88	1	the	the	DET
ap-1953	88	2	stochastic	stochastic	ADJ
ap-1953	88	3	nature	nature	NOUN
ap-1953	88	4	of	of	ADP
ap-1953	88	5	the	the	DET
ap-1953	88	6	nuclei	nuclei	PROPN
ap-1953	88	7	photo	photo	NOUN
ap-1953	88	8	-	-	PUNCT
ap-1953	88	9	disintegration	disintegration	NOUN
ap-1953	88	10	process	process	NOUN
ap-1953	88	11	is	be	AUX
ap-1953	88	12	modeled	model	VERB
ap-1953	88	13	through	through	ADP
ap-1953	88	14	the	the	DET
ap-1953	88	15	survival	survival	NOUN
ap-1953	88	16	probability	probability	NOUN
ap-1953	88	17	of	of	ADP
ap-1953	88	18	a	a	DET
ap-1953	88	19	nucleus	nucleus	NOUN
ap-1953	88	20	of	of	ADP
ap-1953	88	21	atomic	atomic	ADJ
ap-1953	88	22	mass	mass	NOUN
ap-1953	88	23	number	number	NOUN
ap-1953	88	24	a	a	DET
ap-1953	88	25	and	and	CCONJ
ap-1953	88	26	lorentz	lorentz	PROPN
ap-1953	88	27	factor	factor	NOUN
ap-1953	88	28	γ	γ	PROPN
ap-1953	88	29	p	p	PROPN
ap-1953	88	30	(	(	PUNCT
ap-1953	88	31	γ	γ	PROPN
ap-1953	88	32	,	,	PUNCT
ap-1953	88	33	z	z	NOUN
ap-1953	88	34	)	)	PUNCT
ap-1953	88	35	=	=	SYM
ap-1953	88	36	exp	exp	NOUN
ap-1953	88	37	(	(	PUNCT
ap-1953	88	38	−	−	PROPN
ap-1953	88	39	∫	∫	PROPN
ap-1953	88	40	z∗	z∗	PROPN
ap-1953	88	41	z	z	NOUN
ap-1953	88	42	1	1	NUM
ap-1953	88	43	τa(γ	τa(γ	NOUN
ap-1953	88	44	,	,	PUNCT
ap-1953	88	45	z′	z′	NUM
ap-1953	88	46	)	)	PUNCT
ap-1953	88	47	∣∣∣∣	∣∣∣∣	NOUN
ap-1953	88	48	dtdz′	dtdz′	NOUN
ap-1953	88	49	∣∣∣∣	∣∣∣∣	NOUN
ap-1953	88	50	dz′	dz′	X
ap-1953	88	51	)	)	PUNCT
ap-1953	88	52	(	(	PUNCT
ap-1953	88	53	7	7	X
ap-1953	88	54	)	)	PUNCT
ap-1953	88	55	where	where	SCONJ
ap-1953	88	56	z	z	NOUN
ap-1953	88	57	and	and	CCONJ
ap-1953	88	58	z∗	z∗	PROPN
ap-1953	88	59	are	be	AUX
ap-1953	88	60	the	the	DET
ap-1953	88	61	values	value	NOUN
ap-1953	88	62	of	of	ADP
ap-1953	88	63	the	the	DET
ap-1953	88	64	redshift	redshift	NOUN
ap-1953	88	65	of	of	ADP
ap-1953	88	66	the	the	DET
ap-1953	88	67	current	current	ADJ
ap-1953	88	68	step	step	NOUN
ap-1953	88	69	(	(	PUNCT
ap-1953	88	70	from	from	ADP
ap-1953	88	71	z∗	z∗	PROPN
ap-1953	88	72	to	to	ADP
ap-1953	88	73	z	z	PROPN
ap-1953	88	74	)	)	PUNCT
ap-1953	88	75	.	.	PUNCT
ap-1953	89	1	the	the	DET
ap-1953	89	2	simprop	simprop	PROPN
ap-1953	89	3	code	code	NOUN
ap-1953	89	4	is	be	AUX
ap-1953	89	5	designed	design	VERB
ap-1953	89	6	in	in	ADP
ap-1953	89	7	such	such	DET
ap-1953	89	8	a	a	DET
ap-1953	89	9	way	way	NOUN
ap-1953	89	10	that	that	PRON
ap-1953	89	11	any	any	DET
ap-1953	89	12	red	red	ADJ
ap-1953	89	13	-	-	PUNCT
ap-1953	89	14	shift	shift	NOUN
ap-1953	89	15	distribution	distribution	NOUN
ap-1953	89	16	of	of	ADP
ap-1953	89	17	sources	source	NOUN
ap-1953	89	18	and	and	CCONJ
ap-1953	89	19	any	any	DET
ap-1953	89	20	injection	injection	NOUN
ap-1953	89	21	spectrum	spectrum	NOUN
ap-1953	89	22	can	can	AUX
ap-1953	89	23	be	be	AUX
ap-1953	89	24	simulated	simulate	VERB
ap-1953	89	25	.	.	PUNCT
ap-1953	90	1	this	this	PRON
ap-1953	90	2	is	be	AUX
ap-1953	90	3	achieved	achieve	VERB
ap-1953	90	4	by	by	ADP
ap-1953	90	5	drawing	draw	VERB
ap-1953	90	6	events	event	NOUN
ap-1953	90	7	from	from	ADP
ap-1953	90	8	a	a	DET
ap-1953	90	9	flat	flat	ADJ
ap-1953	90	10	distribution	distribution	NOUN
ap-1953	90	11	in	in	ADP
ap-1953	90	12	the	the	DET
ap-1953	90	13	red	red	ADJ
ap-1953	90	14	-	-	PUNCT
ap-1953	90	15	shift	shift	NOUN
ap-1953	90	16	of	of	ADP
ap-1953	90	17	the	the	DET
ap-1953	90	18	sources	source	NOUN
ap-1953	90	19	and	and	CCONJ
ap-1953	90	20	of	of	ADP
ap-1953	90	21	the	the	DET
ap-1953	90	22	logarithm	logarithm	NOUN
ap-1953	90	23	of	of	ADP
ap-1953	90	24	the	the	DET
ap-1953	90	25	injection	injection	NOUN
ap-1953	90	26	energy	energy	NOUN
ap-1953	90	27	.	.	PUNCT
ap-1953	91	1	once	once	SCONJ
ap-1953	91	2	the	the	DET
ap-1953	91	3	event	event	NOUN
ap-1953	91	4	is	be	AUX
ap-1953	91	5	recorded	record	VERB
ap-1953	91	6	at	at	ADP
ap-1953	91	7	z	z	NOUN
ap-1953	91	8	=	=	SYM
ap-1953	91	9	0	0	NUM
ap-1953	92	1	the	the	DET
ap-1953	92	2	actual	actual	ADJ
ap-1953	92	3	source	source	NOUN
ap-1953	92	4	/	/	SYM
ap-1953	92	5	energy	energy	NOUN
ap-1953	92	6	distribution	distribution	NOUN
ap-1953	92	7	is	be	AUX
ap-1953	92	8	recovered	recover	VERB
ap-1953	92	9	through	through	ADP
ap-1953	92	10	a	a	DET
ap-1953	92	11	proper	proper	ADJ
ap-1953	92	12	weight	weight	NOUN
ap-1953	92	13	attributed	attribute	VERB
ap-1953	92	14	to	to	ADP
ap-1953	92	15	the	the	DET
ap-1953	92	16	event	event	NOUN
ap-1953	92	17	[	[	X
ap-1953	92	18	4	4	NUM
ap-1953	92	19	]	]	PUNCT
ap-1953	92	20	.	.	PUNCT
ap-1953	93	1	we	we	PRON
ap-1953	93	2	will	will	AUX
ap-1953	93	3	now	now	ADV
ap-1953	93	4	compare	compare	VERB
ap-1953	93	5	the	the	DET
ap-1953	93	6	spectra	spectra	NOUN
ap-1953	93	7	obtained	obtain	VERB
ap-1953	93	8	using	use	VERB
ap-1953	93	9	simprop	simprop	NOUN
ap-1953	93	10	[	[	X
ap-1953	93	11	4	4	X
ap-1953	93	12	]	]	PUNCT
ap-1953	93	13	with	with	SCONJ
ap-1953	93	14	the	the	DET
ap-1953	93	15	spectra	spectra	NOUN
ap-1953	93	16	calculated	calculate	VERB
ap-1953	93	17	solving	solve	VERB
ap-1953	93	18	the	the	DET
ap-1953	93	19	kinetic	kinetic	ADJ
ap-1953	93	20	equation	equation	NOUN
ap-1953	93	21	associated	associate	VERB
ap-1953	93	22	to	to	ADP
ap-1953	93	23	the	the	DET
ap-1953	93	24	propagation	propagation	NOUN
ap-1953	93	25	of	of	ADP
ap-1953	93	26	nuclei	nucleus	NOUN
ap-1953	93	27	[	[	X
ap-1953	93	28	3	3	NUM
ap-1953	93	29	]	]	PUNCT
ap-1953	93	30	.	.	PUNCT
ap-1953	94	1	to	to	PART
ap-1953	94	2	pursue	pursue	VERB
ap-1953	94	3	this	this	DET
ap-1953	94	4	comparison	comparison	NOUN
ap-1953	94	5	,	,	PUNCT
ap-1953	94	6	a	a	DET
ap-1953	94	7	pure	pure	ADJ
ap-1953	94	8	iron	iron	NOUN
ap-1953	94	9	injection	injection	NOUN
ap-1953	94	10	with	with	ADP
ap-1953	94	11	a	a	DET
ap-1953	94	12	power	power	NOUN
ap-1953	94	13	law	law	NOUN
ap-1953	94	14	injection	injection	NOUN
ap-1953	94	15	of	of	ADP
ap-1953	94	16	the	the	DET
ap-1953	94	17	type	type	NOUN
ap-1953	94	18	∝	∝	PROPN
ap-1953	94	19	e−γg	e−γg	NOUN
ap-1953	94	20	with	with	ADP
ap-1953	94	21	γ	γ	X
ap-1953	94	22	=	=	SYM
ap-1953	94	23	2.2	2.2	NUM
ap-1953	94	24	has	have	AUX
ap-1953	94	25	been	be	AUX
ap-1953	94	26	assumed	assume	VERB
ap-1953	94	27	.	.	PUNCT
ap-1953	95	1	the	the	DET
ap-1953	95	2	sources	source	NOUN
ap-1953	95	3	have	have	AUX
ap-1953	95	4	been	be	AUX
ap-1953	95	5	assumed	assume	VERB
ap-1953	95	6	to	to	PART
ap-1953	95	7	be	be	AUX
ap-1953	95	8	homogeneously	homogeneously	ADV
ap-1953	95	9	distributed	distribute	VERB
ap-1953	95	10	in	in	ADP
ap-1953	95	11	the	the	DET
ap-1953	95	12	red	red	ADJ
ap-1953	95	13	-	-	PUNCT
ap-1953	95	14	shift	shift	NOUN
ap-1953	95	15	range	range	NOUN
ap-1953	95	16	0	0	PUNCT
ap-1953	95	17	<	<	X
ap-1953	95	18	z	z	X
ap-1953	95	19	<	<	X
ap-1953	95	20	3	3	NUM
ap-1953	95	21	.	.	PUNCT
ap-1953	96	1	in	in	ADP
ap-1953	96	2	fig	fig	NOUN
ap-1953	96	3	.	.	PUNCT
ap-1953	97	1	1	1	NUM
ap-1953	97	2	the	the	DET
ap-1953	97	3	fluxes	flux	NOUN
ap-1953	97	4	expected	expect	VERB
ap-1953	97	5	at	at	ADP
ap-1953	97	6	z	z	NOUN
ap-1953	97	7	=	=	SYM
ap-1953	97	8	0	0	NUM
ap-1953	97	9	are	be	AUX
ap-1953	97	10	shown	show	VERB
ap-1953	97	11	for	for	ADP
ap-1953	97	12	iron	iron	NOUN
ap-1953	97	13	and	and	CCONJ
ap-1953	97	14	secondary	secondary	ADJ
ap-1953	97	15	nuclei	nucleus	NOUN
ap-1953	97	16	produced	produce	VERB
ap-1953	97	17	in	in	ADP
ap-1953	97	18	the	the	DET
ap-1953	97	19	photo	photo	NOUN
ap-1953	97	20	-	-	PUNCT
ap-1953	97	21	disintegration	disintegration	NOUN
ap-1953	97	22	chain	chain	NOUN
ap-1953	97	23	suffered	suffer	VERB
ap-1953	97	24	by	by	ADP
ap-1953	97	25	primary	primary	ADJ
ap-1953	97	26	injected	inject	VERB
ap-1953	97	27	irons	iron	NOUN
ap-1953	97	28	.	.	PUNCT
ap-1953	98	1	the	the	DET
ap-1953	98	2	points	point	NOUN
ap-1953	98	3	refer	refer	VERB
ap-1953	98	4	to	to	ADP
ap-1953	98	5	the	the	DET
ap-1953	98	6	simprop	simprop	NOUN
ap-1953	98	7	results	result	NOUN
ap-1953	98	8	,	,	PUNCT
ap-1953	98	9	while	while	SCONJ
ap-1953	98	10	the	the	DET
ap-1953	98	11	continuous	continuous	ADJ
ap-1953	98	12	lines	line	NOUN
ap-1953	98	13	refer	refer	VERB
ap-1953	98	14	to	to	ADP
ap-1953	98	15	the	the	DET
ap-1953	98	16	fluxes	flux	NOUN
ap-1953	98	17	computed	compute	VERB
ap-1953	98	18	in	in	ADP
ap-1953	98	19	the	the	DET
ap-1953	98	20	kinetic	kinetic	ADJ
ap-1953	98	21	approach	approach	NOUN
ap-1953	98	22	.	.	PUNCT
ap-1953	99	1	good	good	ADJ
ap-1953	99	2	agreement	agreement	NOUN
ap-1953	99	3	between	between	ADP
ap-1953	99	4	the	the	DET
ap-1953	99	5	two	two	NUM
ap-1953	99	6	schemes	scheme	NOUN
ap-1953	99	7	is	be	AUX
ap-1953	99	8	clearly	clearly	ADV
ap-1953	99	9	visible	visible	ADJ
ap-1953	99	10	in	in	ADP
ap-1953	99	11	fig	fig	NOUN
ap-1953	99	12	.	.	PUNCT
ap-1953	100	1	1	1	X
ap-1953	100	2	.	.	X
ap-1953	101	1	at	at	ADP
ap-1953	101	2	the	the	DET
ap-1953	101	3	highest	high	ADJ
ap-1953	101	4	energies	energy	NOUN
ap-1953	101	5	the	the	DET
ap-1953	101	6	path	path	NOUN
ap-1953	101	7	-	-	PUNCT
ap-1953	101	8	length	length	NOUN
ap-1953	101	9	of	of	ADP
ap-1953	101	10	iron	iron	NOUN
ap-1953	101	11	nuclei	nucleus	NOUN
ap-1953	101	12	is	be	AUX
ap-1953	101	13	very	very	ADV
ap-1953	101	14	short	short	ADJ
ap-1953	101	15	.	.	PUNCT
ap-1953	102	1	therefore	therefore	ADV
ap-1953	102	2	,	,	PUNCT
ap-1953	102	3	to	to	PART
ap-1953	102	4	achieve	achieve	VERB
ap-1953	102	5	good	good	ADJ
ap-1953	102	6	sampling	sampling	NOUN
ap-1953	102	7	in	in	ADP
ap-1953	102	8	the	the	DET
ap-1953	102	9	mc	mc	PROPN
ap-1953	102	10	simulation	simulation	PROPN
ap-1953	102	11	,	,	PUNCT
ap-1953	102	12	higher	high	ADJ
ap-1953	102	13	statistics	statistic	NOUN
ap-1953	102	14	is	be	AUX
ap-1953	102	15	needed	need	VERB
ap-1953	102	16	;	;	PUNCT
ap-1953	102	17	this	this	PRON
ap-1953	102	18	is	be	AUX
ap-1953	102	19	the	the	DET
ap-1953	102	20	reason	reason	NOUN
ap-1953	102	21	for	for	ADP
ap-1953	102	22	the	the	DET
ap-1953	102	23	larger	large	ADJ
ap-1953	102	24	errors	error	NOUN
ap-1953	102	25	bars	bar	NOUN
ap-1953	102	26	in	in	ADP
ap-1953	102	27	the	the	DET
ap-1953	102	28	simprop	simprop	NOUN
ap-1953	102	29	results	result	NOUN
ap-1953	102	30	at	at	ADP
ap-1953	102	31	the	the	DET
ap-1953	102	32	highest	high	ADJ
ap-1953	102	33	energies	energy	NOUN
ap-1953	102	34	.	.	PUNCT
ap-1953	103	1	let	let	VERB
ap-1953	103	2	us	we	PRON
ap-1953	103	3	conclude	conclude	VERB
ap-1953	103	4	by	by	ADP
ap-1953	103	5	discussing	discuss	VERB
ap-1953	103	6	why	why	SCONJ
ap-1953	103	7	it	it	PRON
ap-1953	103	8	is	be	AUX
ap-1953	103	9	useful	useful	ADJ
ap-1953	103	10	to	to	PART
ap-1953	103	11	go	go	VERB
ap-1953	103	12	beyond	beyond	ADP
ap-1953	103	13	the	the	DET
ap-1953	103	14	kinetic	kinetic	ADJ
ap-1953	103	15	approach	approach	NOUN
ap-1953	103	16	.	.	PUNCT
ap-1953	104	1	the	the	DET
ap-1953	104	2	kinetic	kinetic	ADJ
ap-1953	104	3	approach	approach	NOUN
ap-1953	104	4	has	have	VERB
ap-1953	104	5	the	the	DET
ap-1953	104	6	important	important	ADJ
ap-1953	104	7	feature	feature	NOUN
ap-1953	104	8	of	of	ADP
ap-1953	104	9	being	be	AUX
ap-1953	104	10	analytical	analytical	ADJ
ap-1953	104	11	:	:	PUNCT
ap-1953	104	12	the	the	DET
ap-1953	104	13	fluxes	flux	NOUN
ap-1953	104	14	are	be	AUX
ap-1953	104	15	computed	compute	VERB
ap-1953	104	16	mathematically	mathematically	ADV
ap-1953	104	17	by	by	ADP
ap-1953	104	18	solving	solve	VERB
ap-1953	104	19	a	a	DET
ap-1953	104	20	first	first	ADJ
ap-1953	104	21	principles	principle	NOUN
ap-1953	104	22	equation	equation	NOUN
ap-1953	104	23	[	[	X
ap-1953	104	24	3	3	NUM
ap-1953	104	25	]	]	PUNCT
ap-1953	104	26	.	.	PUNCT
ap-1953	105	1	this	this	PRON
ap-1953	105	2	means	mean	VERB
ap-1953	105	3	that	that	SCONJ
ap-1953	105	4	the	the	DET
ap-1953	105	5	flux	flux	NOUN
ap-1953	105	6	of	of	ADP
ap-1953	105	7	primaries	primary	NOUN
ap-1953	105	8	and	and	CCONJ
ap-1953	105	9	secondaries	secondary	NOUN
ap-1953	105	10	is	be	AUX
ap-1953	105	11	expressed	express	VERB
ap-1953	105	12	in	in	ADP
ap-1953	105	13	terms	term	NOUN
ap-1953	105	14	of	of	ADP
ap-1953	105	15	several	several	ADJ
ap-1953	105	16	integrals	integral	NOUN
ap-1953	105	17	that	that	PRON
ap-1953	105	18	can	can	AUX
ap-1953	105	19	be	be	AUX
ap-1953	105	20	computed	compute	VERB
ap-1953	105	21	numerically	numerically	ADV
ap-1953	105	22	,	,	PUNCT
ap-1953	105	23	once	once	SCONJ
ap-1953	105	24	the	the	DET
ap-1953	105	25	injection	injection	NOUN
ap-1953	105	26	spectrum	spectrum	NOUN
ap-1953	105	27	and	and	CCONJ
ap-1953	105	28	the	the	DET
ap-1953	105	29	sources	source	NOUN
ap-1953	105	30	distribution	distribution	NOUN
ap-1953	105	31	are	be	AUX
ap-1953	105	32	specified	specify	VERB
ap-1953	105	33	.	.	PUNCT
ap-1953	106	1	in	in	ADP
ap-1953	106	2	particular	particular	ADJ
ap-1953	106	3	,	,	PUNCT
ap-1953	106	4	the	the	DET
ap-1953	106	5	flux	flux	NOUN
ap-1953	106	6	of	of	ADP
ap-1953	106	7	secondary	secondary	ADJ
ap-1953	106	8	nuclei	nucleus	NOUN
ap-1953	106	9	and	and	CCONJ
ap-1953	106	10	nucleons	nucleon	NOUN
ap-1953	106	11	produced	produce	VERB
ap-1953	106	12	in	in	ADP
ap-1953	106	13	the	the	DET
ap-1953	106	14	photo	photo	NOUN
ap-1953	106	15	-	-	PUNCT
ap-1953	106	16	disintegration	disintegration	NOUN
ap-1953	106	17	705	705	NUM
ap-1953	106	18	roberto	roberto	PROPN
ap-1953	106	19	aloisio	aloisio	PROPN
ap-1953	106	20	acta	acta	PROPN
ap-1953	106	21	polytechnica	polytechnica	PROPN
ap-1953	106	22	chain	chain	NOUN
ap-1953	106	23	of	of	ADP
ap-1953	106	24	primary	primary	ADJ
ap-1953	106	25	a0	a0	PROPN
ap-1953	106	26	is	be	AUX
ap-1953	106	27	obtained	obtain	VERB
ap-1953	106	28	by	by	ADP
ap-1953	106	29	the	the	DET
ap-1953	106	30	numerical	numerical	ADJ
ap-1953	106	31	computation	computation	NOUN
ap-1953	106	32	of	of	ADP
ap-1953	106	33	a0	a0	PROPN
ap-1953	106	34	nested	nest	VERB
ap-1953	106	35	integrals	integral	NOUN
ap-1953	106	36	and	and	CCONJ
ap-1953	106	37	this	this	DET
ap-1953	106	38	computation	computation	NOUN
ap-1953	106	39	should	should	AUX
ap-1953	106	40	be	be	AUX
ap-1953	106	41	repeated	repeat	VERB
ap-1953	106	42	each	each	DET
ap-1953	106	43	time	time	NOUN
ap-1953	106	44	the	the	DET
ap-1953	106	45	hypothesis	hypothesis	NOUN
ap-1953	106	46	on	on	ADP
ap-1953	106	47	sources	source	NOUN
ap-1953	106	48	(	(	PUNCT
ap-1953	106	49	injection	injection	NOUN
ap-1953	106	50	and	and	CCONJ
ap-1953	106	51	distribution	distribution	NOUN
ap-1953	106	52	)	)	PUNCT
ap-1953	106	53	is	be	AUX
ap-1953	106	54	changed	change	VERB
ap-1953	106	55	.	.	PUNCT
ap-1953	107	1	this	this	DET
ap-1953	107	2	computation	computation	NOUN
ap-1953	107	3	,	,	PUNCT
ap-1953	107	4	while	while	SCONJ
ap-1953	107	5	it	it	PRON
ap-1953	107	6	is	be	AUX
ap-1953	107	7	always	always	ADV
ap-1953	107	8	feasible	feasible	ADJ
ap-1953	107	9	numerically	numerically	ADV
ap-1953	107	10	,	,	PUNCT
ap-1953	107	11	takes	take	VERB
ap-1953	107	12	some	some	DET
ap-1953	107	13	time	time	NOUN
ap-1953	107	14	.	.	PUNCT
ap-1953	108	1	however	however	ADV
ap-1953	108	2	the	the	DET
ap-1953	108	3	time	time	NOUN
ap-1953	108	4	can	can	AUX
ap-1953	108	5	be	be	AUX
ap-1953	108	6	substantially	substantially	ADV
ap-1953	108	7	reduced	reduce	VERB
ap-1953	108	8	by	by	ADP
ap-1953	108	9	using	use	VERB
ap-1953	108	10	a	a	DET
ap-1953	108	11	mc	mc	PROPN
ap-1953	108	12	computation	computation	NOUN
ap-1953	108	13	scheme	scheme	NOUN
ap-1953	108	14	.	.	PUNCT
ap-1953	109	1	this	this	PRON
ap-1953	109	2	follows	follow	VERB
ap-1953	109	3	from	from	ADP
ap-1953	109	4	the	the	DET
ap-1953	109	5	fact	fact	NOUN
ap-1953	109	6	that	that	SCONJ
ap-1953	109	7	,	,	PUNCT
ap-1953	109	8	as	as	SCONJ
ap-1953	109	9	discussed	discuss	VERB
ap-1953	109	10	above	above	ADV
ap-1953	109	11	,	,	PUNCT
ap-1953	109	12	it	it	PRON
ap-1953	109	13	is	be	AUX
ap-1953	109	14	possible	possible	ADJ
ap-1953	109	15	within	within	ADP
ap-1953	109	16	the	the	DET
ap-1953	109	17	simprop	simprop	NOUN
ap-1953	109	18	approach	approach	NOUN
ap-1953	109	19	to	to	PART
ap-1953	109	20	simulate	simulate	VERB
ap-1953	109	21	different	different	ADJ
ap-1953	109	22	source	source	NOUN
ap-1953	109	23	distributions	distribution	NOUN
ap-1953	109	24	and	and	CCONJ
ap-1953	109	25	injection	injection	NOUN
ap-1953	109	26	spectra	spectra	NOUN
ap-1953	109	27	without	without	ADP
ap-1953	109	28	repeating	repeat	VERB
ap-1953	109	29	the	the	DET
ap-1953	109	30	overall	overall	ADJ
ap-1953	109	31	propagation	propagation	NOUN
ap-1953	109	32	of	of	ADP
ap-1953	109	33	particles	particle	NOUN
ap-1953	109	34	.	.	PUNCT
ap-1953	110	1	in	in	ADP
ap-1953	110	2	this	this	DET
ap-1953	110	3	sense	sense	NOUN
ap-1953	110	4	,	,	PUNCT
ap-1953	110	5	a	a	DET
ap-1953	110	6	faster	fast	ADJ
ap-1953	110	7	computation	computation	NOUN
ap-1953	110	8	scheme	scheme	NOUN
ap-1953	110	9	is	be	AUX
ap-1953	110	10	provided	provide	VERB
ap-1953	110	11	by	by	ADP
ap-1953	110	12	the	the	DET
ap-1953	110	13	mc	mc	PROPN
ap-1953	110	14	approach	approach	NOUN
ap-1953	110	15	presented	present	VERB
ap-1953	110	16	here	here	ADV
ap-1953	110	17	,	,	PUNCT
ap-1953	110	18	which	which	PRON
ap-1953	110	19	is	be	AUX
ap-1953	110	20	the	the	DET
ap-1953	110	21	minimal	minimal	ADJ
ap-1953	110	22	stochastic	stochastic	ADJ
ap-1953	110	23	extension	extension	NOUN
ap-1953	110	24	of	of	ADP
ap-1953	110	25	the	the	DET
ap-1953	110	26	kinetic	kinetic	ADJ
ap-1953	110	27	approach	approach	NOUN
ap-1953	110	28	.	.	PUNCT
ap-1953	111	1	acknowledgements	acknowledgement	NOUN
ap-1953	111	2	i	i	PRON
ap-1953	111	3	am	be	AUX
ap-1953	111	4	grateful	grateful	ADJ
ap-1953	111	5	to	to	ADP
ap-1953	111	6	all	all	DET
ap-1953	111	7	collaborators	collaborator	NOUN
ap-1953	111	8	with	with	ADP
ap-1953	111	9	whom	whom	PRON
ap-1953	111	10	the	the	DET
ap-1953	111	11	works	work	NOUN
ap-1953	111	12	presented	present	VERB
ap-1953	111	13	here	here	ADV
ap-1953	111	14	were	be	AUX
ap-1953	111	15	developed	develop	VERB
ap-1953	111	16	:	:	PUNCT
ap-1953	111	17	v.	v.	ADP
ap-1953	111	18	berezinsky	berezinsky	NOUN
ap-1953	111	19	,	,	PUNCT
ap-1953	111	20	a.	a.	NOUN
ap-1953	111	21	gazizov	gazizov	NOUN
ap-1953	111	22	and	and	CCONJ
ap-1953	111	23	s.	s.	PROPN
ap-1953	111	24	grigorieva	grigorieva	PROPN
ap-1953	111	25	,	,	PUNCT
ap-1953	111	26	from	from	ADP
ap-1953	111	27	the	the	DET
ap-1953	111	28	theory	theory	NOUN
ap-1953	111	29	group	group	NOUN
ap-1953	111	30	of	of	ADP
ap-1953	111	31	the	the	DET
ap-1953	111	32	gran	gran	PROPN
ap-1953	111	33	sasso	sasso	PROPN
ap-1953	111	34	laboratory	laboratory	PROPN
ap-1953	111	35	,	,	PUNCT
ap-1953	111	36	d.	d.	PROPN
ap-1953	111	37	boncioli	boncioli	PROPN
ap-1953	111	38	,	,	PUNCT
ap-1953	111	39	a.	a.	PROPN
ap-1953	111	40	grillo	grillo	PROPN
ap-1953	111	41	,	,	PUNCT
ap-1953	111	42	s.	s.	PROPN
ap-1953	111	43	petrera	petrera	PROPN
ap-1953	111	44	and	and	CCONJ
ap-1953	111	45	f.	f.	PROPN
ap-1953	111	46	salamida	salamida	PROPN
ap-1953	111	47	,	,	PUNCT
ap-1953	111	48	auger	auger	NOUN
ap-1953	111	49	group	group	NOUN
ap-1953	111	50	of	of	ADP
ap-1953	111	51	l’aquila	l’aquila	PROPN
ap-1953	111	52	university	university	NOUN
ap-1953	111	53	and	and	CCONJ
ap-1953	111	54	p.	p.	PROPN
ap-1953	111	55	blasi	blasi	PROPN
ap-1953	111	56	,	,	PUNCT
ap-1953	111	57	from	from	ADP
ap-1953	111	58	the	the	DET
ap-1953	111	59	high	high	ADJ
ap-1953	111	60	energy	energy	NOUN
ap-1953	111	61	astrophysics	astrophysic	NOUN
ap-1953	111	62	group	group	NOUN
ap-1953	111	63	of	of	ADP
ap-1953	111	64	the	the	DET
ap-1953	111	65	arcetri	arcetri	ADJ
ap-1953	111	66	astrophysical	astrophysical	ADJ
ap-1953	111	67	observatory	observatory	NOUN
ap-1953	111	68	.	.	PUNCT
ap-1953	112	1	references	reference	NOUN
ap-1953	112	2	[	[	X
ap-1953	112	3	1	1	NUM
ap-1953	112	4	]	]	PUNCT
ap-1953	112	5	r.	r.	PROPN
ap-1953	112	6	aloisio	aloisio	PROPN
ap-1953	112	7	,	,	PUNCT
ap-1953	112	8	v.	v.	ADP
ap-1953	112	9	berezinsky	berezinsky	NOUN
ap-1953	112	10	,	,	PUNCT
ap-1953	112	11	p.	p.	PROPN
ap-1953	112	12	blasi	blasi	PROPN
ap-1953	112	13	,	,	PUNCT
ap-1953	112	14	a.	a.	NOUN
ap-1953	112	15	gazizov	gazizov	PROPN
ap-1953	112	16	,	,	PUNCT
ap-1953	112	17	s.	s.	PROPN
ap-1953	112	18	grigorieva	grigorieva	PROPN
ap-1953	112	19	and	and	CCONJ
ap-1953	112	20	b.	b.	PROPN
ap-1953	112	21	hnatyk	hnatyk	PROPN
ap-1953	112	22	,	,	PUNCT
ap-1953	112	23	astrop	astrop	NOUN
ap-1953	112	24	.	.	PUNCT
ap-1953	113	1	phys	phy	NOUN
ap-1953	113	2	.	.	PUNCT
ap-1953	114	1	27	27	NUM
ap-1953	114	2	(	(	PUNCT
ap-1953	114	3	2007	2007	NUM
ap-1953	114	4	)	)	PUNCT
ap-1953	114	5	76	76	NUM
ap-1953	115	1	[	[	X
ap-1953	115	2	2	2	NUM
ap-1953	115	3	]	]	PUNCT
ap-1953	115	4	r.	r.	PROPN
ap-1953	115	5	aloisio	aloisio	PROPN
ap-1953	115	6	and	and	CCONJ
ap-1953	115	7	d.	d.	PROPN
ap-1953	115	8	boncioli	boncioli	PROPN
ap-1953	115	9	,	,	PUNCT
ap-1953	115	10	astropart	astropart	NOUN
ap-1953	115	11	.	.	PUNCT
ap-1953	116	1	phys	phy	NOUN
ap-1953	116	2	.	.	PUNCT
ap-1953	117	1	35	35	NUM
ap-1953	117	2	(	(	PUNCT
ap-1953	117	3	2011	2011	NUM
ap-1953	117	4	)	)	PUNCT
ap-1953	117	5	152	152	NUM
ap-1953	118	1	[	[	X
ap-1953	118	2	3	3	NUM
ap-1953	118	3	]	]	X
ap-1953	118	4	r.	r.	PROPN
ap-1953	118	5	aloisio	aloisio	PROPN
ap-1953	118	6	,	,	PUNCT
ap-1953	118	7	v.	v.	ADP
ap-1953	118	8	berezinsky	berezinsky	NOUN
ap-1953	118	9	and	and	CCONJ
ap-1953	118	10	s.	s.	PROPN
ap-1953	118	11	grigorieva	grigorieva	PROPN
ap-1953	118	12	(	(	PUNCT
ap-1953	118	13	2012a	2012a	NUM
ap-1953	118	14	)	)	PUNCT
ap-1953	118	15	,	,	PUNCT
ap-1953	118	16	astrop	astrop	NOUN
ap-1953	118	17	.	.	PUNCT
ap-1953	119	1	phys	phy	NOUN
ap-1953	119	2	.	.	PUNCT
ap-1953	120	1	in	in	ADP
ap-1953	120	2	press	press	NOUN
ap-1953	120	3	doi	doi	NOUN
ap-1953	120	4	:	:	PUNCT
ap-1953	120	5	10.1016	10.1016	NUM
ap-1953	120	6	/	/	SYM
ap-1953	120	7	j.astropartphys.2012.07.010	j.astropartphys.2012.07.010	PROPN
ap-1953	120	8	,	,	PUNCT
ap-1953	120	9	astrop	astrop	NOUN
ap-1953	120	10	.	.	PUNCT
ap-1953	121	1	phys	phy	NOUN
ap-1953	121	2	.	.	PUNCT
ap-1953	122	1	in	in	ADP
ap-1953	122	2	press	press	NOUN
ap-1953	122	3	doi	doi	NOUN
ap-1953	122	4	:	:	PUNCT
ap-1953	122	5	10.1016	10.1016	NUM
ap-1953	122	6	/	/	SYM
ap-1953	122	7	j.astropartphys.2012.06.003	j.astropartphys.2012.06.003	PROPN
ap-1953	123	1	[	[	X
ap-1953	123	2	4	4	NUM
ap-1953	123	3	]	]	X
ap-1953	123	4	r.	r.	PROPN
ap-1953	123	5	aloisio	aloisio	PROPN
ap-1953	123	6	,	,	PUNCT
ap-1953	123	7	d.	d.	PROPN
ap-1953	123	8	boncioli	boncioli	PROPN
ap-1953	123	9	,	,	PUNCT
ap-1953	123	10	a.	a.	PROPN
ap-1953	123	11	grillo	grillo	PROPN
ap-1953	123	12	,	,	PUNCT
ap-1953	123	13	s.	s.	PROPN
ap-1953	123	14	petrera	petrera	PROPN
ap-1953	123	15	and	and	CCONJ
ap-1953	123	16	f.	f.	PROPN
ap-1953	123	17	salamida	salamida	PROPN
ap-1953	123	18	,	,	PUNCT
ap-1953	123	19	arxiv:1204.2970	arxiv:1204.2970	PROPN
ap-1953	123	20	,	,	PUNCT
ap-1953	123	21	(	(	PUNCT
ap-1953	123	22	2012b	2012b	NOUN
ap-1953	123	23	)	)	PUNCT
ap-1953	123	24	,	,	PUNCT
ap-1953	123	25	jcap	jcap	NOUN
ap-1953	123	26	in	in	ADP
ap-1953	123	27	press	press	NOUN
ap-1953	123	28	[	[	X
ap-1953	123	29	5	5	NUM
ap-1953	123	30	]	]	PUNCT
ap-1953	123	31	auger	auger	NOUN
ap-1953	123	32	collaboration	collaboration	NOUN
ap-1953	123	33	,	,	PUNCT
ap-1953	123	34	phys	phy	NOUN
ap-1953	123	35	.	.	PUNCT
ap-1953	124	1	letters	letter	NOUN
ap-1953	124	2	b	b	X
ap-1953	124	3	685	685	NUM
ap-1953	124	4	(	(	PUNCT
ap-1953	124	5	2010	2010	NUM
ap-1953	124	6	)	)	PUNCT
ap-1953	124	7	239	239	NUM
ap-1953	124	8	;	;	PUNCT
ap-1953	124	9	phys	phy	NOUN
ap-1953	124	10	.	.	PUNCT
ap-1953	125	1	rev	rev	PROPN
ap-1953	125	2	.	.	PROPN
ap-1953	125	3	lett	lett	PROPN
ap-1953	125	4	.	.	PUNCT
ap-1953	126	1	104	104	NUM
ap-1953	126	2	(	(	PUNCT
ap-1953	126	3	2010	2010	NUM
ap-1953	126	4	)	)	PUNCT
ap-1953	126	5	091101	091101	NUM
ap-1953	127	1	[	[	X
ap-1953	127	2	6	6	X
ap-1953	127	3	]	]	PUNCT
ap-1953	127	4	v.	v.	ADP
ap-1953	127	5	berezinsky	berezinsky	NOUN
ap-1953	127	6	,	,	PUNCT
ap-1953	127	7	s.	s.	PROPN
ap-1953	127	8	bulanov	bulanov	PROPN
ap-1953	127	9	,	,	PUNCT
ap-1953	127	10	v.	v.	ADP
ap-1953	127	11	dogiel	dogiel	PROPN
ap-1953	127	12	,	,	PUNCT
ap-1953	127	13	v.	v.	ADP
ap-1953	127	14	ginzburg	ginzburg	NOUN
ap-1953	127	15	and	and	CCONJ
ap-1953	127	16	v.	v.	ADP
ap-1953	127	17	ptuskin	ptuskin	NOUN
ap-1953	127	18	,	,	PUNCT
ap-1953	127	19	astrophysics	astrophysic	NOUN
ap-1953	127	20	of	of	ADP
ap-1953	127	21	cosmic	cosmic	ADJ
ap-1953	127	22	rays	ray	NOUN
ap-1953	127	23	,	,	PUNCT
ap-1953	127	24	north	north	NOUN
ap-1953	127	25	-	-	PUNCT
ap-1953	127	26	holland	holland	NOUN
ap-1953	127	27	,	,	PUNCT
ap-1953	127	28	1990	1990	NUM
ap-1953	128	1	[	[	X
ap-1953	128	2	7	7	X
ap-1953	128	3	]	]	PUNCT
ap-1953	128	4	v.	v.	ADP
ap-1953	128	5	berezinsky	berezinsky	NOUN
ap-1953	128	6	,	,	PUNCT
ap-1953	128	7	a.	a.	NOUN
ap-1953	128	8	gazizov	gazizov	NOUN
ap-1953	128	9	and	and	CCONJ
ap-1953	128	10	s.	s.	PROPN
ap-1953	128	11	grigorieva	grigorieva	PROPN
ap-1953	128	12	,	,	PUNCT
ap-1953	128	13	(	(	PUNCT
ap-1953	128	14	2006a	2006a	NOUN
ap-1953	128	15	)	)	PUNCT
ap-1953	128	16	phys	phy	NOUN
ap-1953	128	17	.	.	PUNCT
ap-1953	129	1	rev	rev	PROPN
ap-1953	129	2	.	.	PUNCT
ap-1953	130	1	d	d	X
ap-1953	130	2	74	74	NUM
ap-1953	130	3	(	(	PUNCT
ap-1953	130	4	2006	2006	NUM
ap-1953	130	5	)	)	PUNCT
ap-1953	130	6	043005	043005	NUM
ap-1953	131	1	[	[	X
ap-1953	131	2	8	8	X
ap-1953	131	3	]	]	PUNCT
ap-1953	131	4	v.	v.	ADP
ap-1953	131	5	berezinsky	berezinsky	NOUN
ap-1953	131	6	,	,	PUNCT
ap-1953	131	7	a.	a.	NOUN
ap-1953	131	8	gazizov	gazizov	NOUN
ap-1953	131	9	and	and	CCONJ
ap-1953	131	10	m.	m.	NOUN
ap-1953	131	11	kachelriess	kachelriess	PROPN
ap-1953	131	12	,	,	PUNCT
ap-1953	131	13	(	(	PUNCT
ap-1953	131	14	2006b	2006b	NUM
ap-1953	131	15	)	)	PUNCT
ap-1953	131	16	phys	phy	NOUN
ap-1953	131	17	.	.	PUNCT
ap-1953	132	1	rev	rev	PROPN
ap-1953	132	2	.	.	PROPN
ap-1953	132	3	lett	lett	PROPN
ap-1953	132	4	.	.	PUNCT
ap-1953	133	1	97	97	NUM
ap-1953	133	2	(	(	PUNCT
ap-1953	133	3	2006	2006	NUM
ap-1953	133	4	)	)	PUNCT
ap-1953	133	5	23110	23110	NUM
ap-1953	134	1	[	[	X
ap-1953	134	2	9	9	NUM
ap-1953	134	3	]	]	PUNCT
ap-1953	134	4	k.	k.	PROPN
ap-1953	134	5	greisen	greisen	PROPN
ap-1953	134	6	,	,	PUNCT
ap-1953	134	7	phys	phy	NOUN
ap-1953	134	8	.	.	PUNCT
ap-1953	135	1	rev	rev	PROPN
ap-1953	135	2	.	.	PROPN
ap-1953	135	3	lett	lett	PROPN
ap-1953	135	4	.	.	PUNCT
ap-1953	136	1	16	16	NUM
ap-1953	136	2	(	(	PUNCT
ap-1953	136	3	1966	1966	NUM
ap-1953	136	4	)	)	PUNCT
ap-1953	136	5	748	748	NUM
ap-1953	137	1	[	[	SYM
ap-1953	137	2	10	10	NUM
ap-1953	137	3	]	]	PUNCT
ap-1953	137	4	hires	hire	VERB
ap-1953	137	5	collaboration	collaboration	NOUN
ap-1953	137	6	,	,	PUNCT
ap-1953	137	7	phys	phy	NOUN
ap-1953	137	8	.	.	PUNCT
ap-1953	138	1	rev	rev	PROPN
ap-1953	138	2	.	.	PROPN
ap-1953	138	3	lett	lett	PROPN
ap-1953	138	4	.	.	PROPN
ap-1953	139	1	100	100	NUM
ap-1953	139	2	(	(	PUNCT
ap-1953	139	3	2008	2008	NUM
ap-1953	139	4	)	)	PUNCT
ap-1953	139	5	101101	101101	NUM
ap-1953	140	1	[	[	X
ap-1953	140	2	11	11	NUM
ap-1953	140	3	]	]	PUNCT
ap-1953	140	4	hires	hire	VERB
ap-1953	140	5	collaboration	collaboration	NOUN
ap-1953	140	6	,	,	PUNCT
ap-1953	140	7	phys	phy	NOUN
ap-1953	140	8	.	.	PUNCT
ap-1953	141	1	rev	rev	PROPN
ap-1953	141	2	.	.	PROPN
ap-1953	141	3	lett	lett	PROPN
ap-1953	141	4	.	.	PUNCT
ap-1953	142	1	104	104	NUM
ap-1953	142	2	(	(	PUNCT
ap-1953	142	3	2010	2010	NUM
ap-1953	142	4	)	)	PUNCT
ap-1953	142	5	161101	161101	NUM
ap-1953	143	1	[	[	X
ap-1953	143	2	12	12	NUM
ap-1953	143	3	]	]	PUNCT
ap-1953	143	4	f.	f.	PROPN
ap-1953	143	5	w.	w.	PROPN
ap-1953	143	6	stecker	stecker	PROPN
ap-1953	143	7	,	,	PUNCT
ap-1953	143	8	m.	m.	NOUN
ap-1953	143	9	a.	a.	PROPN
ap-1953	143	10	malkan	malkan	PROPN
ap-1953	143	11	and	and	CCONJ
ap-1953	143	12	s.	s.	PROPN
ap-1953	143	13	t.	t.	PROPN
ap-1953	143	14	scully	scully	PROPN
ap-1953	143	15	,	,	PUNCT
ap-1953	143	16	apj	apj	PROPN
ap-1953	143	17	648	648	NUM
ap-1953	143	18	(	(	PUNCT
ap-1953	143	19	2006	2006	NUM
ap-1953	143	20	)	)	PUNCT
ap-1953	143	21	774	774	NUM
ap-1953	144	1	[	[	PUNCT
ap-1953	144	2	13	13	NUM
ap-1953	144	3	]	]	X
ap-1953	144	4	g.t	g.t	PROPN
ap-1953	144	5	.	.	PROPN
ap-1953	144	6	zatsepin	zatsepin	PROPN
ap-1953	144	7	and	and	CCONJ
ap-1953	144	8	v.a	v.a	PROPN
ap-1953	144	9	.	.	PROPN
ap-1953	144	10	kuzmin	kuzmin	PROPN
ap-1953	144	11	,	,	PUNCT
ap-1953	144	12	pisma	pisma	PROPN
ap-1953	144	13	zh	zh	PROPN
ap-1953	144	14	.	.	PUNCT
ap-1953	144	15	experim	experim	PROPN
ap-1953	144	16	.	.	PUNCT
ap-1953	145	1	theor	theor	PROPN
ap-1953	145	2	.	.	PUNCT
ap-1953	146	1	phys	phy	NOUN
ap-1953	146	2	.	.	PUNCT
ap-1953	147	1	4	4	NUM
ap-1953	147	2	(	(	PUNCT
ap-1953	147	3	1966	1966	NUM
ap-1953	147	4	)	)	PUNCT
ap-1953	147	5	114	114	NUM
ap-1953	147	6	discussion	discussion	NOUN
ap-1953	147	7	carlo	carlo	PROPN
ap-1953	147	8	gustavino	gustavino	PROPN
ap-1953	147	9	—	—	PUNCT
ap-1953	147	10	the	the	DET
ap-1953	147	11	difference	difference	NOUN
ap-1953	147	12	between	between	ADP
ap-1953	147	13	auger	auger	NOUN
ap-1953	147	14	and	and	CCONJ
ap-1953	147	15	the	the	DET
ap-1953	147	16	other	other	ADJ
ap-1953	147	17	experiments	experiment	NOUN
ap-1953	147	18	can	can	AUX
ap-1953	147	19	be	be	AUX
ap-1953	147	20	due	due	ADJ
ap-1953	147	21	to	to	ADP
ap-1953	147	22	the	the	DET
ap-1953	147	23	fact	fact	NOUN
ap-1953	147	24	they	they	PRON
ap-1953	147	25	are	be	AUX
ap-1953	147	26	looking	look	VERB
ap-1953	147	27	from	from	ADP
ap-1953	147	28	different	different	ADJ
ap-1953	147	29	hemispheres	hemisphere	NOUN
ap-1953	147	30	?	?	PUNCT
ap-1953	148	1	roberto	roberto	PROPN
ap-1953	148	2	aloisio	aloisio	PROPN
ap-1953	148	3	—	—	PUNCT
ap-1953	148	4	this	this	PRON
ap-1953	148	5	is	be	AUX
ap-1953	148	6	an	an	DET
ap-1953	148	7	hypothesis	hypothesis	NOUN
ap-1953	148	8	that	that	PRON
ap-1953	148	9	was	be	AUX
ap-1953	148	10	recently	recently	ADV
ap-1953	148	11	put	put	VERB
ap-1953	148	12	forward	forward	ADV
ap-1953	148	13	.	.	PUNCT
ap-1953	149	1	i	i	PRON
ap-1953	149	2	personally	personally	ADV
ap-1953	149	3	do	do	AUX
ap-1953	149	4	not	not	PART
ap-1953	149	5	believe	believe	VERB
ap-1953	149	6	in	in	ADP
ap-1953	149	7	such	such	ADJ
ap-1953	149	8	explanation	explanation	NOUN
ap-1953	149	9	because	because	SCONJ
ap-1953	149	10	of	of	ADP
ap-1953	149	11	the	the	DET
ap-1953	149	12	simple	simple	ADJ
ap-1953	149	13	reason	reason	NOUN
ap-1953	149	14	that	that	SCONJ
ap-1953	149	15	at	at	ADP
ap-1953	149	16	energies	energy	NOUN
ap-1953	149	17	around	around	ADV
ap-1953	149	18	(	(	PUNCT
ap-1953	149	19	2	2	NUM
ap-1953	149	20	÷	÷	NUM
ap-1953	149	21	3	3	NUM
ap-1953	149	22	)	)	PUNCT
ap-1953	149	23	×	×	NOUN
ap-1953	149	24	1019	1019	NUM
ap-1953	149	25	ev	ev	ADP
ap-1953	149	26	,	,	PUNCT
ap-1953	149	27	where	where	SCONJ
ap-1953	149	28	already	already	ADV
ap-1953	149	29	the	the	DET
ap-1953	149	30	difference	difference	NOUN
ap-1953	149	31	between	between	ADP
ap-1953	149	32	auger	auger	NOUN
ap-1953	149	33	and	and	CCONJ
ap-1953	149	34	hires	hire	NOUN
ap-1953	149	35	starts	start	NOUN
ap-1953	149	36	,	,	PUNCT
ap-1953	149	37	the	the	DET
ap-1953	149	38	universe	universe	NOUN
ap-1953	149	39	visible	visible	ADJ
ap-1953	149	40	in	in	ADP
ap-1953	149	41	uhecr	uhecr	NOUN
ap-1953	149	42	has	have	VERB
ap-1953	149	43	a	a	DET
ap-1953	149	44	huge	huge	ADJ
ap-1953	149	45	scale	scale	NOUN
ap-1953	149	46	of	of	ADP
ap-1953	149	47	the	the	DET
ap-1953	149	48	order	order	NOUN
ap-1953	149	49	of	of	ADP
ap-1953	149	50	gpc	gpc	PROPN
ap-1953	149	51	.	.	PUNCT
ap-1953	150	1	therefore	therefore	ADV
ap-1953	150	2	it	it	PRON
ap-1953	150	3	is	be	AUX
ap-1953	150	4	very	very	ADV
ap-1953	150	5	unlikely	unlikely	ADJ
ap-1953	150	6	to	to	PART
ap-1953	150	7	have	have	VERB
ap-1953	150	8	differences	difference	NOUN
ap-1953	150	9	between	between	ADP
ap-1953	150	10	observations	observation	NOUN
ap-1953	150	11	carried	carry	VERB
ap-1953	150	12	out	out	ADP
ap-1953	150	13	from	from	ADP
ap-1953	150	14	the	the	DET
ap-1953	150	15	southern	southern	ADJ
ap-1953	150	16	and	and	CCONJ
ap-1953	150	17	northern	northern	ADJ
ap-1953	150	18	hemispheres	hemisphere	NOUN
ap-1953	150	19	.	.	PUNCT
ap-1953	151	1	706	706	NUM
ap-1953	151	2	acta	acta	PROPN
ap-1953	151	3	polytechnica	polytechnica	PROPN
ap-1953	151	4	53(supplement):703–706	53(supplement):703–706	NUM
ap-1953	151	5	,	,	PUNCT
ap-1953	151	6	2013	2013	NUM
ap-1953	151	7	1	1	NUM
ap-1953	151	8	introduction	introduction	NOUN
ap-1953	151	9	2	2	NUM
ap-1953	151	10	kinetic	kinetic	NOUN
ap-1953	151	11	equations	equation	NOUN
ap-1953	151	12	3	3	NUM
ap-1953	151	13	monte	monte	PROPN
ap-1953	151	14	carlo	carlo	PROPN
ap-1953	151	15	acknowledgements	acknowledgement	NOUN
ap-1953	151	16	references	reference	NOUN