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PROPN iajs-2523 4 1 33 33 NUM iajs-2523 4 2 ( ( PUNCT iajs-2523 4 3 4 4 NUM iajs-2523 4 4 ) ) PUNCT iajs-2523 4 5 2020 2020 NUM iajs-2523 4 6     SPACE iajs-2523 4 7 34 34 NUM iajs-2523 4 8         SPACE iajs-2523 4 9 theoretical theoretical ADJ iajs-2523 4 10 study study NOUN iajs-2523 4 11 of of ADP iajs-2523 4 12 the the DET iajs-2523 4 13 photons photon NOUN iajs-2523 4 14 production production NOUN iajs-2523 4 15 kinetic kinetic NOUN iajs-2523 4 16 in in ADP iajs-2523 4 17 hot hot ADJ iajs-2523 4 18 quark quark NOUN iajs-2523 4 19 - - PUNCT iajs-2523 4 20 gluon gluon NOUN iajs-2523 4 21 plasma plasma NOUN iajs-2523 4 22 matter matter NOUN iajs-2523 4 23 article article NOUN iajs-2523 4 24 history history NOUN iajs-2523 4 25 : : PUNCT iajs-2523 4 26 received receive VERB iajs-2523 4 27 28 28 NUM iajs-2523 4 28 january january PROPN iajs-2523 4 29 2020 2020 NUM iajs-2523 4 30 , , PUNCT iajs-2523 4 31 accepted accept VERB iajs-2523 4 32 15 15 NUM iajs-2523 4 33 march march NOUN iajs-2523 4 34 , , PUNCT iajs-2523 4 35 published publish VERB iajs-2523 4 36 october october PROPN iajs-2523 4 37 2020 2020 NUM iajs-2523 4 38 . . 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PUNCT iajs-2523 10 1 in in ADP iajs-2523 10 2 both both DET iajs-2523 10 3 cases case NOUN iajs-2523 10 4 , , PUNCT iajs-2523 10 5 the the DET iajs-2523 10 6 flow flow NOUN iajs-2523 10 7 rate rate NOUN iajs-2523 10 8 of of ADP iajs-2523 10 9 photons photon NOUN iajs-2523 10 10 production production NOUN iajs-2523 10 11 in in ADP iajs-2523 10 12 the the DET iajs-2523 10 13 qg qg PROPN iajs-2523 10 14 plasmais plasmais PROPN iajs-2523 10 15 increased increase VERB iajs-2523 10 16 with with ADP iajs-2523 10 17 increased increase VERB iajs-2523 10 18 temperature temperature NOUN iajs-2523 10 19 of of ADP iajs-2523 10 20 system system NOUN iajs-2523 10 21 and and CCONJ iajs-2523 10 22 photons photon NOUN iajs-2523 10 23 energy energy NOUN iajs-2523 10 24 and and CCONJ iajs-2523 10 25 decreases decrease VERB iajs-2523 10 26 with with ADP iajs-2523 10 27 increases increase NOUN iajs-2523 10 28 the the DET iajs-2523 10 29 strength strength NOUN iajs-2523 10 30 coupling coupling NOUN iajs-2523 10 31 strength strength NOUN iajs-2523 10 32 . . 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PUNCT iajs-2523 22 1 the the DET iajs-2523 22 2 interaction interaction NOUN iajs-2523 22 3 of of ADP iajs-2523 22 4 quark quark PROPN iajs-2523 22 5 – – PUNCT iajs-2523 22 6 gluon gluon VERB iajs-2523 22 7 plasma plasma NOUN iajs-2523 22 8 in in ADP iajs-2523 22 9 hot hot ADJ iajs-2523 22 10 media medium NOUN iajs-2523 22 11 has have AUX iajs-2523 22 12 radiated radiate VERB iajs-2523 22 13 thermal thermal ADJ iajs-2523 22 14 photons photon NOUN iajs-2523 22 15 due due ADP iajs-2523 22 16 to to PART iajs-2523 22 17 transverse transverse VERB iajs-2523 22 18 momenta momenta NOUN iajs-2523 22 19 [ [ X iajs-2523 22 20 5 5 NUM iajs-2523 22 21 ] ] PUNCT iajs-2523 22 22 . . PUNCT iajs-2523 23 1 hard hard ADJ iajs-2523 23 2 photons photon NOUN iajs-2523 23 3 are be AUX iajs-2523 23 4 a a DET iajs-2523 23 5 important important ADJ iajs-2523 23 6 tool tool NOUN iajs-2523 23 7 to to PART iajs-2523 23 8 investigate investigate VERB iajs-2523 23 9 and and CCONJ iajs-2523 23 10 study study VERB iajs-2523 23 11 the the DET iajs-2523 23 12 characteristic characteristic ADJ iajs-2523 23 13 and and CCONJ iajs-2523 23 14 properties property NOUN iajs-2523 23 15 of of ADP iajs-2523 23 16 quark quark PROPN iajs-2523 23 17 matter matter NOUN iajs-2523 23 18 in in ADP iajs-2523 23 19 ultrarelativistic ultrarelativistic ADJ iajs-2523 23 20 heavy heavy ADJ iajs-2523 23 21 - - PUNCT iajs-2523 23 22 ion ion NOUN iajs-2523 23 23 collision collision NOUN iajs-2523 23 24 . . 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PUNCT iajs-2523 25 1 in in ADP iajs-2523 25 2 this this DET iajs-2523 25 3 paper paper NOUN iajs-2523 25 4 , , PUNCT iajs-2523 25 5 we we PRON iajs-2523 25 6 can can AUX iajs-2523 25 7 find find VERB iajs-2523 25 8 the the DET iajs-2523 25 9 relation relation NOUN iajs-2523 25 10 between between ADP iajs-2523 25 11 the the DET iajs-2523 25 12 photons photon NOUN iajs-2523 25 13 rate rate NOUN iajs-2523 25 14 and and CCONJ iajs-2523 25 15 properties property NOUN iajs-2523 25 16 in in ADP iajs-2523 25 17 𝑐𝑡̅ 𝑐𝑡̅ NOUN iajs-2523 25 18 → → SYM iajs-2523 25 19 𝛾𝑔quark 𝛾𝑔quark NOUN iajs-2523 25 20 system system NOUN iajs-2523 25 21 in in ADP iajs-2523 25 22 plasma plasma NOUN iajs-2523 25 23 media medium NOUN iajs-2523 25 24 according accord VERB iajs-2523 25 25 to to ADP iajs-2523 25 26 the the DET iajs-2523 25 27 quantum quantum ADJ iajs-2523 25 28 chromodynamic chromodynamic ADJ iajs-2523 25 29 postulate postulate NOUN iajs-2523 25 30 theory theory NOUN iajs-2523 25 31 using use VERB iajs-2523 25 32 matlap matlap NOUN iajs-2523 25 33 program program NOUN iajs-2523 25 34 . . PUNCT iajs-2523 26 1 2.theory 2.theory NUM iajs-2523 26 2 the the DET iajs-2523 26 3 production production NOUN iajs-2523 26 4 of of ADP iajs-2523 26 5 gamma gamma NOUN iajs-2523 26 6 photons photon NOUN iajs-2523 26 7 from from ADP iajs-2523 26 8 plasma plasma NOUN iajs-2523 26 9 quark quark NOUN iajs-2523 26 10 gluon gluon NOUN iajs-2523 26 11 interaction interaction NOUN iajs-2523 26 12 has have AUX iajs-2523 26 13 been be AUX iajs-2523 26 14 related relate VERB iajs-2523 26 15 to to ADP iajs-2523 26 16 the the DET iajs-2523 26 17 retarded retarded ADJ iajs-2523 26 18 polarization polarization NOUN iajs-2523 26 19 of of ADP iajs-2523 26 20 the the DET iajs-2523 26 21 gamma gamma NOUN iajs-2523 26 22 photon photon PROPN iajs-2523 26 23 using use VERB iajs-2523 26 24 field field NOUN iajs-2523 26 25 theory theory NOUN iajs-2523 26 26 the the DET iajs-2523 26 27 number number NOUN iajs-2523 26 28 of of ADP iajs-2523 26 29 photons photon NOUN iajs-2523 26 30 emitted emit VERB iajs-2523 26 31 from from ADP iajs-2523 26 32 quarks quarks PROPN iajs-2523 26 33 gluon gluon NOUN iajs-2523 26 34 plasma plasma NOUN iajs-2523 26 35 interaction interaction NOUN iajs-2523 26 36 per per ADP iajs-2523 26 37 unit unit NOUN iajs-2523 26 38 time time NOUN iajs-2523 26 39 and and CCONJ iajs-2523 26 40 per per ADP iajs-2523 26 41 unit unit NOUN iajs-2523 26 42 volume volume NOUN iajs-2523 26 43 is be AUX iajs-2523 26 44 [ [ X iajs-2523 26 45 7 7 NUM iajs-2523 26 46 - - SYM iajs-2523 26 47 8 8 NUM iajs-2523 26 48 ] ] PUNCT iajs-2523 26 49 . . PUNCT iajs-2523 27 1 𝐸 𝐸 PROPN iajs-2523 27 2 f f NOUN iajs-2523 27 3 e e PROPN iajs-2523 28 1 i i PRON iajs-2523 28 2 m m VERB iajs-2523 28 3 ∏ ∏ PROPN iajs-2523 28 4 𝐸 𝐸 PROPN iajs-2523 28 5 , , PUNCT iajs-2523 28 6 𝑞 𝑞 X iajs-2523 28 7 ( ( PUNCT iajs-2523 28 8 1 1 NUM iajs-2523 28 9 ) ) PUNCT iajs-2523 28 10 where where SCONJ iajs-2523 28 11 e e NOUN iajs-2523 28 12 is be AUX iajs-2523 28 13 the the DET iajs-2523 28 14 energy energy NOUN iajs-2523 28 15 of of ADP iajs-2523 28 16 system system NOUN iajs-2523 28 17 , , PUNCT iajs-2523 28 18 q q PROPN iajs-2523 28 19 is be AUX iajs-2523 28 20 momentum momentum NOUN iajs-2523 28 21 of of ADP iajs-2523 28 22 quarks quarks PROPN iajs-2523 28 23 , , PUNCT iajs-2523 28 24 ∏ ∏ PROPN iajs-2523 28 25 𝐸 𝐸 PROPN iajs-2523 28 26 , , PUNCT iajs-2523 28 27 𝑞 𝑞 PROPN iajs-2523 28 28 is be AUX iajs-2523 28 29 the the DET iajs-2523 28 30 retarded retarded ADJ iajs-2523 28 31 selfenergy selfenergy NOUN iajs-2523 28 32 for for ADP iajs-2523 28 33 photons photon NOUN iajs-2523 28 34 emitted emit VERB iajs-2523 28 35 at at ADP iajs-2523 28 36 temperature temperature NOUN iajs-2523 28 37 t t PROPN iajs-2523 28 38 and and CCONJ iajs-2523 28 39 f f PROPN iajs-2523 28 40 e e PROPN iajs-2523 28 41 is be AUX iajs-2523 28 42 the the DET iajs-2523 28 43 bose bose NOUN iajs-2523 28 44 - - PUNCT iajs-2523 28 45 einstein einstein NOUN iajs-2523 28 46 distribution distribution NOUN iajs-2523 28 47 function function NOUN iajs-2523 28 48 for for ADP iajs-2523 28 49 gluon gluon NOUN iajs-2523 28 50 and and CCONJ iajs-2523 28 51 given give VERB iajs-2523 28 52 by by ADP iajs-2523 28 53 [ [ PUNCT iajs-2523 28 54 9 9 NUM iajs-2523 28 55 ] ] PUNCT iajs-2523 28 56 . . PUNCT iajs-2523 29 1 f f X iajs-2523 29 2 e e X iajs-2523 29 3 ( ( PUNCT iajs-2523 29 4 2 2 NUM iajs-2523 29 5 ) ) PUNCT iajs-2523 29 6 where where SCONJ iajs-2523 29 7 𝜆 𝜆 NOUN iajs-2523 29 8 is be AUX iajs-2523 29 9 the the DET iajs-2523 29 10 fugacity fugacity NOUN iajs-2523 29 11 of of ADP iajs-2523 29 12 gluon gluon NOUN iajs-2523 29 13 .substituting .substitute VERB iajs-2523 29 14 eq.(2 eq.(2 NOUN iajs-2523 29 15 ) ) PUNCT iajs-2523 29 16 in in ADP iajs-2523 29 17 eq.(1 eq.(1 ADJ iajs-2523 29 18 ) ) PUNCT iajs-2523 29 19 to to PART iajs-2523 29 20 produce produce VERB iajs-2523 29 21 : : PUNCT iajs-2523 29 22 𝐸 𝐸 PROPN iajs-2523 29 23 𝜆 𝜆 ADP iajs-2523 29 24 𝑒 𝑒 PROPN iajs-2523 29 25 1 1 NUM iajs-2523 29 26 i i NOUN iajs-2523 29 27 m m VERB iajs-2523 29 28 ∏ ∏ PROPN iajs-2523 29 29 𝐸 𝐸 PROPN iajs-2523 29 30 , , PUNCT iajs-2523 29 31 𝑞 𝑞 X iajs-2523 29 32 ( ( PUNCT iajs-2523 29 33 3 3 NUM iajs-2523 29 34 ) ) PUNCT iajs-2523 29 35 the the DET iajs-2523 29 36 retarded retarded ADJ iajs-2523 29 37 propagators propagator NOUN iajs-2523 29 38 self self NOUN iajs-2523 29 39 - - PUNCT iajs-2523 29 40 energy energy NOUN iajs-2523 29 41 term term NOUN iajs-2523 29 42 related relate VERB iajs-2523 29 43 to to ADP iajs-2523 29 44 photons photon NOUN iajs-2523 29 45 emission emission NOUN iajs-2523 29 46 according accord VERB iajs-2523 29 47 to to ADP iajs-2523 29 48 spectral spectral ADJ iajs-2523 29 49 density density NOUN iajs-2523 29 50 𝜌 𝜌 X iajs-2523 29 51 𝑤 𝑤 PROPN iajs-2523 29 52 , , PUNCT iajs-2523 29 53 𝑘 𝑘 X iajs-2523 29 54 by by ADP iajs-2523 29 55 relation relation NOUN iajs-2523 29 56 [ [ X iajs-2523 29 57 10 10 NUM iajs-2523 29 58 ] ] PUNCT iajs-2523 29 59 . . PUNCT iajs-2523 30 1 i i PRON iajs-2523 30 2 m m VERB iajs-2523 30 3 ∏ ∏ PROPN iajs-2523 30 4 𝐸 𝐸 PROPN iajs-2523 30 5 , , PUNCT iajs-2523 30 6 𝑞 𝑞 X iajs-2523 30 7 ∑ ∑ PROPN iajs-2523 30 8 𝑒 𝑒 PROPN iajs-2523 30 9 𝑒 𝑒 PROPN iajs-2523 30 10 1 1 NUM iajs-2523 30 11 𝑑𝑤 𝑑𝑤 PROPN iajs-2523 30 12 𝑑𝑤~ 𝑑𝑤~ PROPN iajs-2523 30 13 𝛿 𝛿 PROPN iajs-2523 30 14 𝐸 𝐸 PROPN iajs-2523 30 15 𝑤 𝑤 ADP iajs-2523 30 16 𝑤~ 𝑤~ PROPN iajs-2523 30 17 𝐹 𝐹 PROPN iajs-2523 30 18 𝑤 𝑤 PROPN iajs-2523 30 19 . . PUNCT iajs-2523 31 1 𝐹 𝐹 PROPN iajs-2523 31 2 𝑤 𝑤 X iajs-2523 32 1 𝑇𝑟 𝑇𝑟 PROPN iajs-2523 32 2 𝜉 𝜉 PROPN iajs-2523 32 3 𝑘 𝑘 PROPN iajs-2523 32 4 , , PUNCT iajs-2523 32 5 𝑝 𝑝 ADJ iajs-2523 32 6 𝜌∗ 𝜌∗ NOUN iajs-2523 32 7 𝑤 𝑤 ADP iajs-2523 32 8 , , PUNCT iajs-2523 32 9 𝑘 𝑘 X iajs-2523 32 10 𝜌 𝜌 X iajs-2523 32 11 𝑤 𝑤 X iajs-2523 32 12 𝐸 𝐸 PROPN iajs-2523 32 13 , , PUNCT iajs-2523 32 14 𝑘 𝑘 PROPN iajs-2523 32 15 𝑝 𝑝 NOUN iajs-2523 32 16 𝜉 𝜉 X iajs-2523 32 17 𝑘 𝑘 PROPN iajs-2523 32 18 , , PUNCT iajs-2523 32 19 𝑝 𝑝 NOUN iajs-2523 32 20 ( ( PUNCT iajs-2523 32 21 4 4 NUM iajs-2523 32 22 ) ) PUNCT iajs-2523 32 23 where where SCONJ iajs-2523 32 24 𝑒 𝑒 PROPN iajs-2523 32 25 is be AUX iajs-2523 32 26 square square ADJ iajs-2523 32 27 charge charge NOUN iajs-2523 32 28 of of ADP iajs-2523 32 29 quark quark PROPN iajs-2523 32 30 , , PUNCT iajs-2523 32 31 𝑘 𝑘 PROPN iajs-2523 32 32 is be AUX iajs-2523 32 33 soft soft ADJ iajs-2523 32 34 momentum momentum NOUN iajs-2523 32 35 of of ADP iajs-2523 32 36 quark quark NOUN iajs-2523 32 37 propagator propagator NOUN iajs-2523 32 38 , , PUNCT iajs-2523 32 39 𝑘 𝑘 DET iajs-2523 32 40 𝑃 𝑃 NOUN iajs-2523 32 41 is be AUX iajs-2523 32 42 the the DET iajs-2523 32 43 hard hard ADJ iajs-2523 32 44 momentum momentum NOUN iajs-2523 32 45 of of ADP iajs-2523 32 46 quark quark ADJ iajs-2523 32 47 propagator propagator NOUN iajs-2523 32 48 , , PUNCT iajs-2523 32 49 𝐸 𝐸 PROPN iajs-2523 32 50 is be AUX iajs-2523 32 51 the the DET iajs-2523 32 52 energy energy NOUN iajs-2523 32 53 of of ADP iajs-2523 32 54 system system NOUN iajs-2523 32 55 , , PUNCT iajs-2523 32 56 𝜌 𝜌 X iajs-2523 32 57 𝑤 𝑤 ADP iajs-2523 32 58 , , PUNCT iajs-2523 32 59 𝑘 𝑘 NOUN iajs-2523 32 60 and and CCONJ iajs-2523 32 61 𝜌∗ 𝜌∗ NOUN iajs-2523 32 62 𝑤 𝑤 ADP iajs-2523 32 63 , , PUNCT iajs-2523 32 64 𝑘 𝑘 PRON iajs-2523 32 65 are be AUX iajs-2523 32 66 the the DET iajs-2523 32 67 spectral spectral ADJ iajs-2523 32 68 function function NOUN iajs-2523 32 69 and and CCONJ iajs-2523 32 70 conjugate conjugate ADJ iajs-2523 32 71 spectral spectral ADJ iajs-2523 32 72 function function NOUN iajs-2523 32 73 of of ADP iajs-2523 32 74 quark quark NOUN iajs-2523 32 75 , , PUNCT iajs-2523 32 76 and and CCONJ iajs-2523 32 77 𝜉 𝜉 X iajs-2523 32 78 𝑘 𝑘 PROPN iajs-2523 32 79 , , PUNCT iajs-2523 32 80 𝑘 𝑘 PROPN iajs-2523 32 81 , , PUNCT iajs-2523 32 82 𝑝 𝑝 NOUN iajs-2523 32 83 𝜉 𝜉 X iajs-2523 32 84 𝑘 𝑘 PROPN iajs-2523 32 85 , , PUNCT iajs-2523 32 86 𝑘 𝑘 PROPN iajs-2523 32 87 , , PUNCT iajs-2523 32 88 𝑝 𝑝 PROPN iajs-2523 32 89 are be AUX iajs-2523 32 90 the the DET iajs-2523 32 91 propagation propagation NOUN iajs-2523 32 92 and and CCONJ iajs-2523 32 93 conjugate conjugate ADJ iajs-2523 32 94 function function NOUN iajs-2523 32 95 of of ADP iajs-2523 32 96 quarks quarks NOUN iajs-2523 32 97 system system NOUN iajs-2523 32 98 on on ADP iajs-2523 32 99 the the DET iajs-2523 32 100 other other ADJ iajs-2523 32 101 hand hand NOUN iajs-2523 32 102 , , PUNCT iajs-2523 32 103 the the DET iajs-2523 32 104 𝐹 𝐹 PROPN iajs-2523 32 105 𝑤 𝑤 PROPN iajs-2523 32 106 and and CCONJ iajs-2523 32 107 𝐹 𝐹 PROPN iajs-2523 32 108 𝑤 𝑤 PROPN iajs-2523 32 109 are be AUX iajs-2523 32 110 fermi fermi NOUN iajs-2523 32 111 dirac dirac NOUN iajs-2523 32 112 representation representation NOUN iajs-2523 32 113 for for ADP iajs-2523 32 114 quark quark NOUN iajs-2523 32 115 and and CCONJ iajs-2523 32 116 anti anti ADJ iajs-2523 32 117 - - ADJ iajs-2523 32 118 quark quark ADJ iajs-2523 32 119 respectively respectively ADV iajs-2523 32 120 . . PUNCT iajs-2523 33 1 the the DET iajs-2523 33 2 quark quark PROPN iajs-2523 33 3 and and CCONJ iajs-2523 33 4 anti anti ADJ iajs-2523 33 5 - - ADJ iajs-2523 33 6 quark quark ADJ iajs-2523 33 7 distribution distribution NOUN iajs-2523 33 8 are be AUX iajs-2523 33 9 given give VERB iajs-2523 33 10 by by ADP iajs-2523 33 11 the the DET iajs-2523 33 12 juttner juttner NOUN iajs-2523 33 13 distribution distribution NOUN iajs-2523 33 14 functions function NOUN iajs-2523 33 15 [ [ X iajs-2523 33 16 8 8 NUM iajs-2523 33 17 ] ] PUNCT iajs-2523 33 18 . . PUNCT iajs-2523 34 1 𝐹 𝐹 PROPN iajs-2523 34 2 and𝐹 and𝐹 VERB iajs-2523 34 3 ́ ́ PROPN iajs-2523 34 4 ́ ́ NOUN iajs-2523 34 5 ́ ́ NOUN iajs-2523 34 6 ( ( PUNCT iajs-2523 34 7 5 5 NUM iajs-2523 34 8 ) ) PUNCT iajs-2523 34 9 since since SCONJ iajs-2523 34 10 the the DET iajs-2523 34 11 trace trace NOUN iajs-2523 34 12 of of ADP iajs-2523 34 13 system system NOUN iajs-2523 34 14 can can AUX iajs-2523 34 15 be be AUX iajs-2523 34 16 reformation reformation NOUN iajs-2523 34 17 using use VERB iajs-2523 34 18 [ [ X iajs-2523 34 19 12 12 NUM iajs-2523 34 20 ] ] PUNCT iajs-2523 34 21 . . PUNCT iajs-2523 35 1 𝑇𝑟 𝑇𝑟 ADV iajs-2523 35 2 𝜉 𝜉 VERB iajs-2523 35 3 𝑘 𝑘 PROPN iajs-2523 35 4 , , PUNCT iajs-2523 35 5 𝑘 𝑘 PROPN iajs-2523 35 6 , , PUNCT iajs-2523 35 7 𝑝 𝑝 ADJ iajs-2523 35 8 𝜌∗ 𝜌∗ NOUN iajs-2523 35 9 𝑤 𝑤 ADP iajs-2523 35 10 , , PUNCT iajs-2523 35 11 𝑘 𝑘 X iajs-2523 35 12 𝜌 𝜌 X iajs-2523 35 13 𝑤 𝑤 X iajs-2523 35 14 𝐸 𝐸 PROPN iajs-2523 35 15 , , PUNCT iajs-2523 35 16 𝑘 𝑘 PROPN iajs-2523 35 17 𝑝 𝑝 NOUN iajs-2523 35 18 𝜉 𝜉 X iajs-2523 35 19 𝑘 𝑘 PROPN iajs-2523 35 20 , , PUNCT iajs-2523 35 21 𝑘 𝑘 PROPN iajs-2523 35 22 , , PUNCT iajs-2523 35 23 𝑝 𝑝 PRON iajs-2523 35 24 2𝑇𝑟 2𝑇𝑟 NUM iajs-2523 35 25 𝜌∗ 𝜌∗ NOUN iajs-2523 35 26 𝑤 𝑤 ADP iajs-2523 35 27 , , PUNCT iajs-2523 35 28 𝑘 𝑘 X iajs-2523 35 29 𝜌 𝜌 X iajs-2523 35 30 𝑤 𝑤 X iajs-2523 35 31 𝐸 𝐸 PROPN iajs-2523 35 32 , , PUNCT iajs-2523 35 33 𝑘 𝑘 PROPN iajs-2523 35 34 𝑝 𝑝 PROPN iajs-2523 35 35 ( ( PUNCT iajs-2523 35 36 6 6 NUM iajs-2523 35 37 ) ) PUNCT iajs-2523 35 38 substituting substitute VERB iajs-2523 35 39 eq.(6 eq.(6 NOUN iajs-2523 35 40 ) ) PUNCT iajs-2523 35 41 , , PUNCT iajs-2523 35 42 eq.(5 eq.(5 NOUN iajs-2523 35 43 ) ) PUNCT iajs-2523 35 44 in in ADP iajs-2523 35 45 eq.(4 eq.(4 ADJ iajs-2523 35 46 ) ) PUNCT iajs-2523 35 47 to to PART iajs-2523 35 48 result result VERB iajs-2523 35 49 : : PUNCT iajs-2523 36 1 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 36 2 , , PUNCT iajs-2523 36 3 𝑒 𝑒 ADV iajs-2523 36 4 ∑ ∑ DET iajs-2523 36 5 𝑒 𝑒 PROPN iajs-2523 36 6 𝑒 𝑒 PROPN iajs-2523 36 7 1 1 NUM iajs-2523 36 8 ~ ~ PUNCT iajs-2523 36 9 𝛿 𝛿 DET iajs-2523 36 10 𝐸 𝐸 PROPN iajs-2523 36 11 𝑤 𝑤 ADP iajs-2523 36 12 𝑤~ 𝑤~ PROPN iajs-2523 36 13 𝜆 𝜆 X iajs-2523 36 14 𝜆 𝜆 SCONJ iajs-2523 36 15 ́ ́ PROPN iajs-2523 36 16 ~ ~ PUNCT iajs-2523 36 17 2𝑇𝑟 2𝑇𝑟 NUM iajs-2523 36 18 𝜌∗ 𝜌∗ NOUN iajs-2523 36 19 𝑤 𝑤 ADP iajs-2523 36 20 , , PUNCT iajs-2523 36 21 𝑘 𝑘 X iajs-2523 36 22 𝜌 𝜌 X iajs-2523 36 23 𝑤 𝑤 X iajs-2523 36 24 𝐸 𝐸 PROPN iajs-2523 36 25 , , PUNCT iajs-2523 36 26 𝑘 𝑘 PROPN iajs-2523 36 27 𝑝 𝑝 PROPN iajs-2523 36 28 ( ( PUNCT iajs-2523 36 29 7 7 NUM iajs-2523 36 30 ) ) PUNCT iajs-2523 36 31             SPACE iajs-2523 36 32 36 36 NUM iajs-2523 36 33     SPACE iajs-2523 36 34 ibn ibn PROPN iajs-2523 36 35 al al PROPN iajs-2523 36 36 - - PUNCT iajs-2523 36 37 haitham haitham PROPN iajs-2523 36 38 jour jour X iajs-2523 36 39 . . PROPN iajs-2523 37 1 for for ADP iajs-2523 37 2 pure pure ADJ iajs-2523 37 3 & & CCONJ iajs-2523 37 4 appl appl PROPN iajs-2523 37 5 . . PUNCT iajs-2523 38 1 sci sci PROPN iajs-2523 38 2 . . PROPN iajs-2523 39 1 33 33 NUM iajs-2523 39 2 ( ( PUNCT iajs-2523 39 3 4 4 NUM iajs-2523 39 4 ) ) PUNCT iajs-2523 39 5 2020 2020 NUM iajs-2523 39 6 the the DET iajs-2523 39 7 eq.(6 eq.(6 NOUN iajs-2523 39 8 ) ) PUNCT iajs-2523 39 9 can can AUX iajs-2523 39 10 simply simply ADV iajs-2523 39 11 be be AUX iajs-2523 39 12 using use VERB iajs-2523 39 13 the the DET iajs-2523 39 14 integral integral ADJ iajs-2523 39 15 dirac dirac NOUN iajs-2523 39 16 function function NOUN iajs-2523 39 17 [ [ X iajs-2523 39 18 11 11 NUM iajs-2523 39 19 ] ] PUNCT iajs-2523 39 20 . . PUNCT iajs-2523 40 1 ~ ~ PUNCT iajs-2523 40 2 𝛿 𝛿 DET iajs-2523 40 3 𝐸 𝐸 PROPN iajs-2523 40 4 𝑤 𝑤 ADP iajs-2523 40 5 𝑤~ 𝑤~ PROPN iajs-2523 40 6 ~ ~ PUNCT iajs-2523 40 7 𝛿 𝛿 DET iajs-2523 40 8 𝐸 𝐸 PROPN iajs-2523 40 9 𝑤 𝑤 ADP iajs-2523 40 10 𝑤~ 𝑤~ PROPN iajs-2523 40 11 𝑒 𝑒 PROPN iajs-2523 40 12 1 1 NUM iajs-2523 40 13 𝑒 𝑒 SYM iajs-2523 40 14 1 1 NUM iajs-2523 40 15 𝑑𝑤~ 𝑑𝑤~ PROPN iajs-2523 40 16 𝑒 𝑒 PROPN iajs-2523 40 17 1 1 NUM iajs-2523 40 18 𝑒 𝑒 PROPN iajs-2523 40 19 ́ ́ PROPN iajs-2523 40 20 1 1 NUM iajs-2523 40 21 1 1 NUM iajs-2523 40 22 ( ( PUNCT iajs-2523 40 23 8) 8) NUM iajs-2523 40 24 then then ADV iajs-2523 40 25 eq.(7 eq.(7 VERB iajs-2523 40 26 ) ) PUNCT iajs-2523 40 27 with with ADP iajs-2523 40 28 eq.(8 eq.(8 ADV iajs-2523 40 29 ) ) PUNCT iajs-2523 40 30 may may AUX iajs-2523 40 31 be be AUX iajs-2523 40 32 written write VERB iajs-2523 40 33 as as ADP iajs-2523 40 34 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 40 35 , , PUNCT iajs-2523 40 36 𝑒 𝑒 ADV iajs-2523 40 37 ∑ ∑ DET iajs-2523 40 38 𝑒 𝑒 PROPN iajs-2523 40 39 𝑒 𝑒 PROPN iajs-2523 40 40 1 1 NUM iajs-2523 40 41 𝜆 𝜆 PRON iajs-2523 40 42 𝜆 𝜆 PRON iajs-2523 40 43 ́ ́ PROPN iajs-2523 40 44 𝑒 𝑒 PROPN iajs-2523 40 45 1 1 NUM iajs-2523 40 46 𝑒 𝑒 PROPN iajs-2523 40 47 ́ ́ PROPN iajs-2523 40 48 1 1 NUM iajs-2523 40 49 1 1 NUM iajs-2523 40 50 𝑇𝑟 𝑇𝑟 PROPN iajs-2523 40 51 𝜌∗ 𝜌∗ NOUN iajs-2523 40 52 𝑤 𝑤 ADP iajs-2523 40 53 , , PUNCT iajs-2523 40 54 𝑘 𝑘 X iajs-2523 40 55 𝜌 𝜌 X iajs-2523 40 56 𝑤 𝑤 X iajs-2523 40 57 𝐸 𝐸 PROPN iajs-2523 40 58 , , PUNCT iajs-2523 40 59 𝑘 𝑘 PROPN iajs-2523 40 60 𝑝 𝑝 PROPN iajs-2523 40 61 ( ( PUNCT iajs-2523 40 62 9 9 NUM iajs-2523 40 63 ) ) PUNCT iajs-2523 40 64 then then ADV iajs-2523 40 65 eq.(3 eq.(3 NOUN iajs-2523 40 66 - - PUNCT iajs-2523 40 67 46)simply 46)simply PROPN iajs-2523 40 68 due due ADJ iajs-2523 40 69 to to PART iajs-2523 40 70 solve solve VERB iajs-2523 40 71 the the DET iajs-2523 40 72 trace trace NOUN iajs-2523 40 73 using use VERB iajs-2523 40 74 identity identity NOUN iajs-2523 40 75 of of ADP iajs-2523 40 76 spectral spectral ADJ iajs-2523 40 77 functions function NOUN iajs-2523 40 78 to to PART iajs-2523 40 79 obtained obtain VERB iajs-2523 40 80 [ [ X iajs-2523 40 81 12 12 NUM iajs-2523 40 82 ] ] PUNCT iajs-2523 40 83 . . PUNCT iajs-2523 41 1 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 41 2 , , PUNCT iajs-2523 41 3 4𝜋 4𝜋 PROPN iajs-2523 41 4 𝑒 𝑒 ADV iajs-2523 41 5 ∑ ∑ PROPN iajs-2523 41 6 𝑒 𝑒 PROPN iajs-2523 41 7 𝑒 𝑒 PROPN iajs-2523 41 8 1 1 NUM iajs-2523 41 9 𝜆 𝜆 PRON iajs-2523 41 10 𝜆 𝜆 PRON iajs-2523 41 11 ́ ́ PROPN iajs-2523 41 12 𝑒 𝑒 PROPN iajs-2523 41 13 1 1 NUM iajs-2523 41 14 𝑒 𝑒 PROPN iajs-2523 41 15 ́ ́ PROPN iajs-2523 41 16 1 1 NUM iajs-2523 41 17 𝛿 𝛿 DET iajs-2523 41 18 𝑐𝑜𝑠𝜃 𝑐𝑜𝑠𝜃 NOUN iajs-2523 41 19 𝜌∗ 𝜌∗ NOUN iajs-2523 41 20 𝑤 𝑤 ADP iajs-2523 41 21 , , PUNCT iajs-2523 41 22 𝑘 𝑘 DET iajs-2523 41 23 1 1 NUM iajs-2523 41 24 𝜌∗ 𝜌∗ NOUN iajs-2523 41 25 𝑤 𝑤 ADP iajs-2523 41 26 , , PUNCT iajs-2523 41 27 𝑘 𝑘 PRON iajs-2523 41 28 1 1 NUM iajs-2523 41 29 ( ( PUNCT iajs-2523 41 30 10 10 NUM iajs-2523 41 31 ) ) PUNCT iajs-2523 41 32 since since SCONJ iajs-2523 41 33 the the DET iajs-2523 41 34 quark quark NOUN iajs-2523 41 35 – – PUNCT iajs-2523 41 36 gluon gluon NOUN iajs-2523 41 37 plasma plasma NOUN iajs-2523 41 38 system system NOUN iajs-2523 41 39 has have AUX iajs-2523 41 40 interested interest VERB iajs-2523 41 41 with with ADP iajs-2523 41 42 large large ADJ iajs-2523 41 43 photon photon NOUN iajs-2523 41 44 energy energy NOUN iajs-2523 41 45 case case NOUN iajs-2523 41 46 have have VERB iajs-2523 41 47 , , PUNCT iajs-2523 41 48 𝐸 𝐸 PROPN iajs-2523 41 49 𝐸 𝐸 PROPN iajs-2523 41 50 ́ ́ PROPN iajs-2523 41 51 𝐸 𝐸 PROPN iajs-2523 41 52 ≫ ≫ PROPN iajs-2523 41 53 𝑇 𝑇 PROPN iajs-2523 41 54 , , PUNCT iajs-2523 41 55 that that PRON iajs-2523 41 56 ’s ’s ADV iajs-2523 41 57 can can AUX iajs-2523 41 58 use use VERB iajs-2523 41 59 an an DET iajs-2523 41 60 approximation approximation NOUN iajs-2523 41 61 to to AUX iajs-2523 41 62 given give VERB iajs-2523 41 63 . . PUNCT iajs-2523 42 1 𝑒 𝑒 PROPN iajs-2523 42 2 1 1 NUM iajs-2523 42 3 𝑒 𝑒 PROPN iajs-2523 42 4 ́ ́ PROPN iajs-2523 42 5 1 1 NUM iajs-2523 42 6 𝑒 𝑒 ADP iajs-2523 42 7 𝑒 𝑒 PROPN iajs-2523 42 8 ́ ́ PROPN iajs-2523 42 9 𝑒 𝑒 PROPN iajs-2523 42 10 ́ ́ PROPN iajs-2523 42 11 𝑒 𝑒 PROPN iajs-2523 42 12 ( ( PUNCT iajs-2523 42 13 11 11 NUM iajs-2523 42 14 ) ) PUNCT iajs-2523 42 15 then then ADV iajs-2523 42 16 eq.(10 eq.(10 ADJ iajs-2523 42 17 ) ) PUNCT iajs-2523 42 18 simply simply ADV iajs-2523 42 19 to to ADP iajs-2523 42 20 : : PUNCT iajs-2523 42 21 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 42 22 , , PUNCT iajs-2523 42 23 4𝜋 4𝜋 PROPN iajs-2523 42 24 𝑒 𝑒 ADV iajs-2523 42 25 ∑ ∑ PROPN iajs-2523 42 26 𝑒 𝑒 PROPN iajs-2523 42 27 𝑒 𝑒 PROPN iajs-2523 42 28 1 1 NUM iajs-2523 42 29 𝑑𝑘 𝑑𝑘 ADV iajs-2523 42 30 𝜆 𝜆 DET iajs-2523 42 31 𝜆 𝜆 PRON iajs-2523 42 32 ́ ́ PROPN iajs-2523 42 33 𝑒 𝑒 PROPN iajs-2523 42 34 𝛿 𝛿 DET iajs-2523 42 35 𝑐𝑜𝑠𝜃 𝑐𝑜𝑠𝜃 NOUN iajs-2523 42 36 𝜌∗ 𝜌∗ NOUN iajs-2523 42 37 𝑤 𝑤 ADP iajs-2523 42 38 , , PUNCT iajs-2523 42 39 𝑘 𝑘 DET iajs-2523 42 40 1 1 NUM iajs-2523 42 41 𝜌∗ 𝜌∗ NOUN iajs-2523 42 42 𝑤 𝑤 ADP iajs-2523 42 43 , , PUNCT iajs-2523 42 44 𝑘 𝑘 PRON iajs-2523 42 45 1 1 NUM iajs-2523 42 46 ( ( PUNCT iajs-2523 42 47 12 12 NUM iajs-2523 42 48 ) ) PUNCT iajs-2523 42 49 the the DET iajs-2523 42 50 eq.(12 eq.(12 PROPN iajs-2523 42 51 ) ) PUNCT iajs-2523 42 52 reformulated reformulate VERB iajs-2523 42 53 using use VERB iajs-2523 42 54 𝑑𝑘 𝑑𝑘 ADP iajs-2523 42 55 𝛿 𝛿 DET iajs-2523 42 56 𝑐𝑜𝑠𝜃 𝑐𝑜𝑠𝜃 NOUN iajs-2523 42 57 𝑘𝑑𝑘to 𝑘𝑑𝑘to NOUN iajs-2523 42 58 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 42 59 , , PUNCT iajs-2523 42 60 4𝜋 4𝜋 PROPN iajs-2523 42 61 𝑒 𝑒 ADV iajs-2523 42 62 ∑ ∑ PROPN iajs-2523 42 63 𝑒 𝑒 PROPN iajs-2523 42 64 𝑒 𝑒 PROPN iajs-2523 42 65 1 1 NUM iajs-2523 42 66 𝑘𝑑𝑘 𝑘𝑑𝑘 NOUN iajs-2523 42 67 𝜆 𝜆 NOUN iajs-2523 42 68 𝜆 𝜆 PRON iajs-2523 42 69 ́ ́ PROPN iajs-2523 42 70 𝑒 𝑒 PROPN iajs-2523 42 71 𝜌∗ 𝜌∗ NOUN iajs-2523 42 72 𝑤 𝑤 ADP iajs-2523 42 73 , , PUNCT iajs-2523 42 74 𝑘 𝑘 DET iajs-2523 42 75 1 1 NUM iajs-2523 42 76 𝜌∗ 𝜌∗ NOUN iajs-2523 42 77 𝑤 𝑤 ADP iajs-2523 42 78 , , PUNCT iajs-2523 42 79 𝑘 𝑘 PRON iajs-2523 42 80 1 1 NUM iajs-2523 42 81 ( ( PUNCT iajs-2523 42 82 13 13 NUM iajs-2523 42 83 ) ) PUNCT iajs-2523 42 84 however however ADV iajs-2523 42 85 the the DET iajs-2523 42 86 recursion recursion NOUN iajs-2523 42 87 relation relation NOUN iajs-2523 42 88 of of ADP iajs-2523 42 89 integral integral ADJ iajs-2523 42 90 [ [ X iajs-2523 42 91 11 11 NUM iajs-2523 42 92 ] ] PUNCT iajs-2523 42 93 . . PUNCT iajs-2523 43 1 𝜌∗ 𝜌∗ PROPN iajs-2523 43 2 𝑤 𝑤 PROPN iajs-2523 43 3 , , PUNCT iajs-2523 43 4 𝑘 𝑘 DET iajs-2523 43 5 1 1 NUM iajs-2523 43 6 𝜌∗ 𝜌∗ NOUN iajs-2523 43 7 𝑤 𝑤 ADP iajs-2523 43 8 , , PUNCT iajs-2523 43 9 𝑘 𝑘 PROPN iajs-2523 43 10 1 1 NUM iajs-2523 43 11 𝜎 𝜎 NOUN iajs-2523 43 12 𝑘 𝑘 PRON iajs-2523 43 13 1 1 NUM iajs-2523 43 14 𝜎 𝜎 NOUN iajs-2523 43 15 𝑘 𝑘 PRON iajs-2523 43 16 1 1 NUM iajs-2523 43 17 𝛽 𝛽 PROPN iajs-2523 43 18 𝑤 𝑤 PROPN iajs-2523 43 19 , , PUNCT iajs-2523 43 20 𝑘 𝑘 PROPN iajs-2523 43 21 𝜃 𝜃 X iajs-2523 43 22 𝑘 𝑘 PRON iajs-2523 43 23 𝑤 𝑤 X iajs-2523 43 24 ( ( PUNCT iajs-2523 43 25 14 14 NUM iajs-2523 43 26 ) ) PUNCT iajs-2523 43 27 then then ADV iajs-2523 43 28 eq.(13 eq.(13 VERB iajs-2523 43 29 ) ) PUNCT iajs-2523 43 30 with with ADP iajs-2523 43 31 eq eq NOUN iajs-2523 43 32 .(14 .(14 NOUN iajs-2523 43 33 ) ) PUNCT iajs-2523 43 34 lead lead VERB iajs-2523 43 35 to to ADP iajs-2523 43 36 : : PUNCT iajs-2523 43 37 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 43 38 , , PUNCT iajs-2523 43 39 4𝜋 4𝜋 PROPN iajs-2523 43 40 𝑒 𝑒 ADV iajs-2523 43 41 ∑ ∑ PROPN iajs-2523 43 42 𝑒 𝑒 PROPN iajs-2523 43 43 𝑒 𝑒 PROPN iajs-2523 43 44 1 1 NUM iajs-2523 43 45 𝑘𝑑𝑘 𝑘𝑑𝑘 NOUN iajs-2523 43 46 𝜆 𝜆 PRON iajs-2523 43 47 𝜆 𝜆 PRON iajs-2523 43 48 ́ ́ PROPN iajs-2523 43 49 𝑒 𝑒 PROPN iajs-2523 43 50 𝜎 𝜎 PROPN iajs-2523 43 51 𝑘 𝑘 PRON iajs-2523 43 52 1 1 NUM iajs-2523 43 53 𝜎 𝜎 NOUN iajs-2523 43 54 𝑘 𝑘 PRON iajs-2523 43 55 1 1 NUM iajs-2523 43 56 𝛽 𝛽 PROPN iajs-2523 43 57 𝑤 𝑤 PROPN iajs-2523 43 58 , , PUNCT iajs-2523 43 59 𝑘 𝑘 PROPN iajs-2523 43 60 𝜃 𝜃 X iajs-2523 43 61 𝑘 𝑘 PRON iajs-2523 43 62 𝑤 𝑤 X iajs-2523 43 63 ( ( PUNCT iajs-2523 43 64 15 15 NUM iajs-2523 43 65 ) ) PUNCT iajs-2523 43 66 the the DET iajs-2523 43 67 second second ADJ iajs-2523 43 68 term term NOUN iajs-2523 43 69 in in ADP iajs-2523 43 70 integral integral ADJ iajs-2523 43 71 ( ( PUNCT iajs-2523 43 72 3 3 NUM iajs-2523 43 73 - - SYM iajs-2523 43 74 59 59 NUM iajs-2523 43 75 ) ) PUNCT iajs-2523 43 76 refers refer VERB iajs-2523 43 77 to to ADP iajs-2523 43 78 the the DET iajs-2523 43 79 correction correction NOUN iajs-2523 43 80 term term NOUN iajs-2523 43 81 and and CCONJ iajs-2523 43 82 is be AUX iajs-2523 43 83 given give VERB iajs-2523 43 84 by by ADP iajs-2523 43 85 [ [ X iajs-2523 43 86 12 12 NUM iajs-2523 43 87 ] ] PUNCT iajs-2523 43 88 the the DET iajs-2523 43 89 integral integral ADJ iajs-2523 43 90 term term NOUN iajs-2523 43 91 in in ADP iajs-2523 43 92 eq eq ADP iajs-2523 43 93 . . PUNCT iajs-2523 44 1 ( ( PUNCT iajs-2523 44 2 15 15 NUM iajs-2523 44 3 ) ) PUNCT iajs-2523 44 4 lead lead NOUN iajs-2523 44 5 to to ADP iajs-2523 44 6 𝑘𝑑𝑘𝛽 𝑘𝑑𝑘𝛽 PROPN iajs-2523 44 7 𝑤 𝑤 ADP iajs-2523 44 8 , , PUNCT iajs-2523 44 9 𝑘 𝑘 PROPN iajs-2523 44 10 𝜃 𝜃 NOUN iajs-2523 44 11 𝑘 𝑘 NOUN iajs-2523 44 12 𝑤 𝑤 X iajs-2523 44 13 𝑘𝑑𝑘 𝑘𝑑𝑘 NOUN iajs-2523 44 14 𝑚 𝑚 PROPN iajs-2523 44 15 ω ω PROPN iajs-2523 44 16 ( ( PUNCT iajs-2523 44 17 16 16 NUM iajs-2523 44 18 ) ) PUNCT iajs-2523 44 19 where where SCONJ iajs-2523 44 20 𝛽 𝛽 PROPN iajs-2523 44 21 𝑤 𝑤 PROPN iajs-2523 44 22 , , PUNCT iajs-2523 44 23 𝑘 𝑘 PRON iajs-2523 44 24 is be AUX iajs-2523 44 25 irrelevant irrelevant ADJ iajs-2523 44 26 for for ADP iajs-2523 44 27 the the DET iajs-2523 44 28 cut cut ADJ iajs-2523 44 29 term term NOUN iajs-2523 44 30 from from ADP iajs-2523 44 31 landau landau NOUN iajs-2523 44 32 damping damp VERB iajs-2523 44 33 and and CCONJ iajs-2523 44 34 is be AUX iajs-2523 44 35 given give VERB iajs-2523 44 36 by[12 by[12 NOUN iajs-2523 44 37 ] ] X iajs-2523 44 38 . . PUNCT iajs-2523 45 1 𝜎 𝜎 PROPN iajs-2523 46 1 𝑘 𝑘 PRON iajs-2523 46 2 1 1 NUM iajs-2523 46 3 𝜎 𝜎 PROPN iajs-2523 46 4 𝑘 𝑘 DET iajs-2523 46 5 1 1 NUM iajs-2523 46 6 𝑘𝑑𝑘 𝑘𝑑𝑘 NOUN iajs-2523 46 7 2𝑚 2𝑚 NOUN iajs-2523 46 8 𝑑𝑘 𝑑𝑘 ADP iajs-2523 46 9 ( ( PUNCT iajs-2523 46 10 17 17 NUM iajs-2523 46 11 ) ) PUNCT iajs-2523 46 12             SPACE iajs-2523 46 13 37 37 NUM iajs-2523 46 14     SPACE iajs-2523 46 15 ibn ibn PROPN iajs-2523 46 16 al al PROPN iajs-2523 46 17 - - PUNCT iajs-2523 46 18 haitham haitham PROPN iajs-2523 46 19 jour jour X iajs-2523 46 20 . . PROPN iajs-2523 47 1 for for ADP iajs-2523 47 2 pure pure ADJ iajs-2523 47 3 & & CCONJ iajs-2523 47 4 appl appl PROPN iajs-2523 47 5 . . PUNCT iajs-2523 48 1 sci sci PROPN iajs-2523 48 2 . . PROPN iajs-2523 49 1 33 33 NUM iajs-2523 49 2 ( ( PUNCT iajs-2523 49 3 4 4 NUM iajs-2523 49 4 ) ) PUNCT iajs-2523 49 5 2020 2020 NUM iajs-2523 49 6 then then ADV iajs-2523 49 7 eq.(3 eq.(3 NOUN iajs-2523 49 8 - - SYM iajs-2523 49 9 59 59 NUM iajs-2523 49 10 ) ) PUNCT iajs-2523 50 1 with with ADP iajs-2523 50 2 definition definition NOUN iajs-2523 50 3 integral integral ADJ iajs-2523 50 4 in in ADP iajs-2523 50 5 eq.(3 eq.(3 NOUN iajs-2523 50 6 - - SYM iajs-2523 50 7 67 67 NUM iajs-2523 50 8 ) ) PUNCT iajs-2523 50 9 and and CCONJ iajs-2523 50 10 ( ( PUNCT iajs-2523 50 11 eq.(3 eq.(3 NOUN iajs-2523 50 12 - - SYM iajs-2523 50 13 60 60 NUM iajs-2523 50 14 ) ) PUNCT iajs-2523 50 15 must must AUX iajs-2523 50 16 to to PART iajs-2523 50 17 : : PUNCT iajs-2523 50 18 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 50 19 , , PUNCT iajs-2523 50 20 4𝜋 4𝜋 PROPN iajs-2523 50 21 4𝜋𝛼 4𝜋𝛼 PROPN iajs-2523 50 22 ∑ ∑ PROPN iajs-2523 50 23 𝑒 𝑒 PROPN iajs-2523 50 24 𝑒 𝑒 PROPN iajs-2523 50 25 1 1 NUM iajs-2523 50 26 𝜆 𝜆 DET iajs-2523 50 27 𝜆 𝜆 PRON iajs-2523 50 28 ́ ́ PROPN iajs-2523 50 29 𝑒 𝑒 PROPN iajs-2523 50 30 2𝑚 2𝑚 NUM iajs-2523 50 31 𝑑𝑘 𝑑𝑘 VERB iajs-2523 50 32 𝑚 𝑚 PROPN iajs-2523 50 33 ω ω PROPN iajs-2523 50 34 . . PUNCT iajs-2523 51 1 ( ( PUNCT iajs-2523 51 2 18 18 NUM iajs-2523 51 3 ) ) PUNCT iajs-2523 51 4 the the DET iajs-2523 51 5 mass mass NOUN iajs-2523 51 6 of of ADP iajs-2523 51 7 quark quark PROPN iajs-2523 51 8 is be AUX iajs-2523 51 9 induced induce VERB iajs-2523 51 10 by by ADP iajs-2523 51 11 qcd qcd PROPN iajs-2523 51 12 temperature temperature NOUN iajs-2523 51 13 by by ADP iajs-2523 51 14 formula formula NOUN iajs-2523 51 15 [ [ X iajs-2523 51 16 13 13 NUM iajs-2523 51 17 ] ] PUNCT iajs-2523 51 18 . . PUNCT iajs-2523 52 1 𝑚 𝑚 X iajs-2523 52 2 𝛼 𝛼 PRON iajs-2523 52 3 𝑇 𝑇 PROPN iajs-2523 52 4 ( ( PUNCT iajs-2523 52 5 19 19 NUM iajs-2523 52 6 ) ) PUNCT iajs-2523 52 7 and and CCONJ iajs-2523 52 8 the the DET iajs-2523 52 9 integral integral ADJ iajs-2523 52 10 in in ADP iajs-2523 52 11 eq.(18 eq.(18 NOUN iajs-2523 52 12 ) ) PUNCT iajs-2523 52 13 is be AUX iajs-2523 52 14 reduce reduce VERB iajs-2523 52 15 to to ADP iajs-2523 52 16 2 2 NUM iajs-2523 52 17 𝑑𝑘 𝑑𝑘 ADV iajs-2523 52 18 𝐿𝑛 𝐿𝑛 PROPN iajs-2523 52 19 ( ( PUNCT iajs-2523 52 20 20 20 NUM iajs-2523 52 21 ) ) PUNCT iajs-2523 52 22 it it PRON iajs-2523 52 23 may may AUX iajs-2523 52 24 be be AUX iajs-2523 52 25 inserting insert VERB iajs-2523 52 26 eq.(20 eq.(20 NOUN iajs-2523 52 27 ) ) PUNCT iajs-2523 52 28 and and CCONJ iajs-2523 52 29 eq.(19 eq.(19 ADJ iajs-2523 52 30 ) ) PUNCT iajs-2523 52 31 in in ADP iajs-2523 52 32 eq.(18 eq.(18 NOUN iajs-2523 52 33 ) ) PUNCT iajs-2523 52 34 to to PART iajs-2523 52 35 be be AUX iajs-2523 52 36 reduced reduce VERB iajs-2523 52 37 to to ADP iajs-2523 52 38 . . PUNCT iajs-2523 53 1 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 53 2 , , PUNCT iajs-2523 53 3 4𝜋 4𝜋 PROPN iajs-2523 53 4 4𝜋𝛼 4𝜋𝛼 PROPN iajs-2523 53 5 ∑ ∑ PROPN iajs-2523 53 6 𝑒 𝑒 PROPN iajs-2523 53 7 𝑒 𝑒 PROPN iajs-2523 53 8 1 1 NUM iajs-2523 53 9 𝜆 𝜆 PRON iajs-2523 53 10 𝜆 𝜆 PRON iajs-2523 53 11 ́ ́ PROPN iajs-2523 53 12 𝑒 𝑒 PROPN iajs-2523 53 13 𝛼 𝛼 ADP iajs-2523 53 14 𝑇 𝑇 PROPN iajs-2523 53 15 𝐿𝑛 𝐿𝑛 PROPN iajs-2523 53 16 ω ω PROPN iajs-2523 53 17 ( ( PUNCT iajs-2523 53 18 21 21 NUM iajs-2523 53 19 ) ) PUNCT iajs-2523 53 20 however however ADV iajs-2523 53 21 , , PUNCT iajs-2523 53 22 it it PRON iajs-2523 53 23 can can AUX iajs-2523 53 24 mentioned mention VERB iajs-2523 53 25 here here ADV iajs-2523 53 26 that that SCONJ iajs-2523 53 27 : : PUNCT iajs-2523 54 1 ω ω NUM iajs-2523 54 2 1 1 NUM iajs-2523 54 3 ( ( PUNCT iajs-2523 54 4 22 22 NUM iajs-2523 54 5 ) ) PUNCT iajs-2523 54 6 inserting insert VERB iajs-2523 54 7 the the DET iajs-2523 54 8 eq eq NOUN iajs-2523 54 9 . . PUNCT iajs-2523 55 1 ( ( PUNCT iajs-2523 55 2 22 22 NUM iajs-2523 55 3 ) ) PUNCT iajs-2523 55 4 in in ADP iajs-2523 55 5 eq eq ADP iajs-2523 55 6 . . PUNCT iajs-2523 56 1 ( ( PUNCT iajs-2523 56 2 21 21 NUM iajs-2523 56 3 ) ) PUNCT iajs-2523 56 4 to to PART iajs-2523 56 5 reduce reduce VERB iajs-2523 56 6 : : PUNCT iajs-2523 56 7 𝐼𝑚∏ 𝐼𝑚∏ PROPN iajs-2523 56 8 , , PUNCT iajs-2523 56 9 4𝜋 4𝜋 PROPN iajs-2523 56 10 4𝜋𝛼 4𝜋𝛼 PROPN iajs-2523 56 11 ∑ ∑ PROPN iajs-2523 56 12 𝑒 𝑒 PROPN iajs-2523 56 13 𝑒 𝑒 PROPN iajs-2523 56 14 1 1 NUM iajs-2523 56 15 𝜆 𝜆 PRON iajs-2523 56 16 𝜆 𝜆 PRON iajs-2523 56 17 ́ ́ PROPN iajs-2523 56 18 𝑒 𝑒 PROPN iajs-2523 56 19 𝛼 𝛼 ADP iajs-2523 56 20 𝑇 𝑇 PROPN iajs-2523 56 21 𝐿𝑛 𝐿𝑛 PROPN iajs-2523 56 22 1 1 NUM iajs-2523 56 23 ( ( PUNCT iajs-2523 56 24 23 23 NUM iajs-2523 56 25 ) ) PUNCT iajs-2523 56 26 the the DET iajs-2523 56 27 current current ADJ iajs-2523 56 28 rate rate NOUN iajs-2523 56 29 of of ADP iajs-2523 56 30 photons photon NOUN iajs-2523 56 31 can can AUX iajs-2523 56 32 be be AUX iajs-2523 56 33 calculation calculation NOUN iajs-2523 56 34 by by ADP iajs-2523 56 35 substituting substitute VERB iajs-2523 56 36 eq.(23 eq.(23 NOUN iajs-2523 56 37 ) ) PUNCT iajs-2523 56 38 in in ADP iajs-2523 56 39 eq.(3 eq.(3 NOUN iajs-2523 56 40 ) ) PUNCT iajs-2523 56 41 to to PART iajs-2523 56 42 results result VERB iajs-2523 56 43 𝐸 𝐸 PROPN iajs-2523 56 44 𝛼𝛼 𝛼𝛼 VERB iajs-2523 56 45 ∑ ∑ PROPN iajs-2523 56 46 𝑒 𝑒 PROPN iajs-2523 56 47 𝜆 𝜆 ADP iajs-2523 56 48 𝜆 𝜆 PRON iajs-2523 56 49 𝜆 𝜆 PRON iajs-2523 56 50 ́ ́ PROPN iajs-2523 56 51 𝑇 𝑇 PROPN iajs-2523 56 52 𝑒 𝑒 PROPN iajs-2523 56 53 𝐿𝑛 𝐿𝑛 PROPN iajs-2523 56 54 1 1 NUM iajs-2523 56 55 ( ( PUNCT iajs-2523 56 56 24 24 NUM iajs-2523 56 57 ) ) PUNCT iajs-2523 56 58 where where SCONJ iajs-2523 56 59 𝛼 𝛼 NOUN iajs-2523 56 60 is be AUX iajs-2523 56 61 the the DET iajs-2523 56 62 electro electro ADJ iajs-2523 56 63 strength strength NOUN iajs-2523 56 64 constant constant ADJ iajs-2523 56 65 , , PUNCT iajs-2523 56 66 𝛼 𝛼 PROPN iajs-2523 56 67 is be AUX iajs-2523 56 68 the the DET iajs-2523 56 69 strength strength NOUN iajs-2523 56 70 coupling coupling NOUN iajs-2523 56 71 , , PUNCT iajs-2523 56 72 𝑒 𝑒 PROPN iajs-2523 56 73 is be AUX iajs-2523 56 74 the the DET iajs-2523 56 75 square square NOUN iajs-2523 56 76 of of ADP iajs-2523 56 77 electric electric ADJ iajs-2523 56 78 charge charge NOUN iajs-2523 56 79 of of ADP iajs-2523 56 80 quarks quarks NOUN iajs-2523 56 81 system system NOUN iajs-2523 56 82 , , PUNCT iajs-2523 56 83 𝜆 𝜆 X iajs-2523 56 84 is be AUX iajs-2523 56 85 the the DET iajs-2523 56 86 fugacity fugacity NOUN iajs-2523 56 87 of of ADP iajs-2523 56 88 gluons gluon NOUN iajs-2523 56 89 , , PUNCT iajs-2523 56 90 𝜆 𝜆 X iajs-2523 56 91 is be AUX iajs-2523 56 92 the the DET iajs-2523 56 93 fugacity fugacity NOUN iajs-2523 56 94 of of ADP iajs-2523 56 95 quark quark PROPN iajs-2523 56 96 , , PUNCT iajs-2523 56 97 𝜆 𝜆 DET iajs-2523 56 98 ́ ́ PROPN iajs-2523 56 99 is be AUX iajs-2523 56 100 the the DET iajs-2523 56 101 fugacity fugacity NOUN iajs-2523 56 102 of of ADP iajs-2523 56 103 anti anti ADJ iajs-2523 56 104 - - ADJ iajs-2523 56 105 quark quark ADJ iajs-2523 56 106 , , PUNCT iajs-2523 56 107 𝑇 𝑇 PROPN iajs-2523 56 108 is be AUX iajs-2523 56 109 the the DET iajs-2523 56 110 square square NOUN iajs-2523 56 111 of of ADP iajs-2523 56 112 temperature temperature NOUN iajs-2523 56 113 of of ADP iajs-2523 56 114 system system NOUN iajs-2523 56 115 and and CCONJ iajs-2523 56 116 𝐸 𝐸 PROPN iajs-2523 56 117 is be AUX iajs-2523 56 118 the the DET iajs-2523 56 119 photons photon NOUN iajs-2523 56 120 energy energy NOUN iajs-2523 56 121 . . PUNCT iajs-2523 57 1 the the DET iajs-2523 57 2 strength strength NOUN iajs-2523 57 3 coupling𝛼 coupling𝛼 PROPN iajs-2523 57 4 is be AUX iajs-2523 57 5 𝛼 𝛼 PRON iajs-2523 57 6 𝑃 𝑃 NOUN iajs-2523 57 7 ( ( PUNCT iajs-2523 57 8 25 25 NUM iajs-2523 57 9 ) ) PUNCT iajs-2523 57 10 where where SCONJ iajs-2523 57 11 𝑁 𝑁 PROPN iajs-2523 57 12 is be AUX iajs-2523 57 13 the the DET iajs-2523 57 14 flavor flavor NOUN iajs-2523 57 15 quantum quantum NOUN iajs-2523 57 16 number,𝑃 number,𝑃 PUNCT iajs-2523 57 17 is be AUX iajs-2523 57 18 the the DET iajs-2523 57 19 momentum momentum NOUN iajs-2523 57 20 of of ADP iajs-2523 57 21 photons photon NOUN iajs-2523 57 22 system system NOUN iajs-2523 57 23 and and CCONJ iajs-2523 57 24 the the DET iajs-2523 57 25 critical critical ADJ iajs-2523 57 26 temperature temperature NOUN iajs-2523 57 27 𝑇 𝑇 PROPN iajs-2523 57 28 . . PUNCT iajs-2523 58 1 3.results 3.results NUM iajs-2523 58 2 table table NOUN iajs-2523 58 3 ( ( PUNCT iajs-2523 58 4 1 1 X iajs-2523 58 5 ) ) PUNCT iajs-2523 58 6 shows show VERB iajs-2523 58 7 strength strength NOUN iajs-2523 58 8 coupling couple VERB iajs-2523 58 9 spectra spectra NOUN iajs-2523 58 10 of of ADP iajs-2523 58 11 interaction interaction NOUN iajs-2523 58 12 𝑐𝑡̅ 𝑐𝑡̅ CCONJ iajs-2523 58 13 → → SYM iajs-2523 58 14 𝛾𝑔system 𝛾𝑔system NOUN iajs-2523 58 15 in in ADP iajs-2523 58 16 plasma plasma NOUN iajs-2523 58 17 that that PRON iajs-2523 58 18 is be AUX iajs-2523 58 19 calculated calculate VERB iajs-2523 58 20 according accord VERB iajs-2523 58 21 to to ADP iajs-2523 58 22 quantum quantum ADJ iajs-2523 58 23 flavor flavor NOUN iajs-2523 58 24 number number NOUN iajs-2523 58 25 , , PUNCT iajs-2523 58 26 critical critical ADJ iajs-2523 58 27 temperature temperature NOUN iajs-2523 58 28 and and CCONJ iajs-2523 58 29 temperature temperature NOUN iajs-2523 58 30 of of ADP iajs-2523 58 31 system system NOUN iajs-2523 58 32 . . PUNCT iajs-2523 59 1 to to PART iajs-2523 59 2 obtain obtain VERB iajs-2523 59 3 the the DET iajs-2523 59 4 strength strength NOUN iajs-2523 59 5 coupling coupling NOUN iajs-2523 59 6 , , PUNCT iajs-2523 59 7 the the DET iajs-2523 59 8 momentum momentum NOUN iajs-2523 59 9 spectra spectra NOUN iajs-2523 59 10 of of ADP iajs-2523 59 11 system system NOUN iajs-2523 59 12 were be AUX iajs-2523 59 13 taken take VERB iajs-2523 59 14 from from ADP iajs-2523 59 15 experimental experimental ADJ iajs-2523 59 16 date date NOUN iajs-2523 59 17 pc pc NOUN iajs-2523 59 18 = = NOUN iajs-2523 59 19 1,2,3,4 1,2,3,4 NUM iajs-2523 59 20 and and CCONJ iajs-2523 59 21 5 5 NUM iajs-2523 59 22 gev gev NOUN iajs-2523 59 23 [ [ X iajs-2523 59 24 14 14 NUM iajs-2523 59 25 ] ] PUNCT iajs-2523 59 26 and and CCONJ iajs-2523 59 27 elected elect VERB iajs-2523 59 28 the the DET iajs-2523 59 29 critical critical ADJ iajs-2523 59 30 temperature temperature NOUN iajs-2523 59 31 tc tc NOUN iajs-2523 59 32 = = SYM iajs-2523 59 33 150 150 NUM iajs-2523 59 34 mev mev NOUN iajs-2523 59 35 and and CCONJ iajs-2523 59 36 tc= tc= PROPN iajs-2523 59 37 190mev.it 190mev.it NUM iajs-2523 59 38 should should AUX iajs-2523 59 39 be be AUX iajs-2523 59 40 mentioned mention VERB iajs-2523 59 41 at at ADP iajs-2523 59 42 this this DET iajs-2523 59 43 point point NOUN iajs-2523 59 44 that that SCONJ iajs-2523 59 45 quantum quantum NOUN iajs-2523 59 46 flavor flavor NOUN iajs-2523 59 47 number number NOUN iajs-2523 59 48 was be AUX iajs-2523 59 49 calculated calculate VERB iajs-2523 59 50 using use VERB iajs-2523 59 51 the the DET iajs-2523 59 52 summation summation NOUN iajs-2523 59 53 ∑ ∑ ADP iajs-2523 59 54 𝑁 𝑁 PROPN iajs-2523 59 55 6 6 NUM iajs-2523 59 56 and and CCONJ iajs-2523 59 57 estimation estimation NOUN iajs-2523 59 58 the the DET iajs-2523 59 59 total total ADJ iajs-2523 59 60 electric electric ADJ iajs-2523 59 61 charge charge NOUN iajs-2523 59 62 of of ADP iajs-2523 59 63 quark quark NOUN iajs-2523 59 64 using use VERB iajs-2523 59 65 ∑ ∑ PROPN iajs-2523 59 66 𝑒 𝑒 PROPN iajs-2523 59 67 . . PUNCT iajs-2523 60 1 the the DET iajs-2523 60 2 strength strength NOUN iajs-2523 60 3 coupling coupling NOUN iajs-2523 60 4 was be AUX iajs-2523 60 5 calculated calculate VERB iajs-2523 60 6 using use VERB iajs-2523 60 7 eq.(25 eq.(25 NOUN iajs-2523 60 8 ) ) PUNCT iajs-2523 60 9 and and CCONJ iajs-2523 60 10 inserting𝑁 inserting𝑁 PROPN iajs-2523 60 11 6 6 NUM iajs-2523 60 12 , , PUNCT iajs-2523 60 13 p p NOUN iajs-2523 60 14 = = NOUN iajs-2523 60 15 1,2,3,4 1,2,3,4 NUM iajs-2523 60 16 and and CCONJ iajs-2523 60 17 5 5 NUM iajs-2523 60 18 gev gev NOUN iajs-2523 60 19 and and CCONJ iajs-2523 60 20 elected elect VERB iajs-2523 60 21 tc tc NUM iajs-2523 60 22 = = SYM iajs-2523 60 23 150 150 NUM iajs-2523 60 24 mev mev NOUN iajs-2523 60 25 and and CCONJ iajs-2523 60 26 tc= tc= PROPN iajs-2523 60 27 190mev 190mev NUM iajs-2523 60 28 . . PUNCT iajs-2523 61 1 however however ADV iajs-2523 61 2 , , PUNCT iajs-2523 61 3 the the DET iajs-2523 61 4 flow flow NOUN iajs-2523 61 5 photonic photonic NOUN iajs-2523 61 6 rate rate NOUN iajs-2523 61 7 𝐸 𝐸 PROPN iajs-2523 61 8 has have AUX iajs-2523 61 9 calculated calculate VERB iajs-2523 61 10 using use VERB iajs-2523 61 11 eq eq ADP iajs-2523 61 12 . . PUNCT iajs-2523 62 1 ( ( PUNCT iajs-2523 62 2 24 24 NUM iajs-2523 62 3 ) ) PUNCT iajs-2523 62 4 at at ADP iajs-2523 62 5 critical critical ADJ iajs-2523 62 6 temperature temperature NOUN iajs-2523 62 7 tc=150mev tc=150mev NOUN iajs-2523 62 8 using use VERB iajs-2523 62 9 fugacity fugacity NOUN iajs-2523 62 10 of of ADP iajs-2523 62 11 quark quark PROPN iajs-2523 62 12 𝜆 𝜆 PROPN iajs-2523 63 1 = = NOUN iajs-2523 63 2 0.85 0.85 NUM iajs-2523 63 3 , , PUNCT iajs-2523 63 4 anti anti ADJ iajs-2523 63 5 - - ADJ iajs-2523 63 6 quark𝜆 quark𝜆 ADJ iajs-2523 63 7 ́ ́ PROPN iajs-2523 63 8 0.9 0.9 NUM iajs-2523 63 9 and and CCONJ iajs-2523 63 10 gluon gluon VERB iajs-2523 63 11 𝜆 𝜆 ADP iajs-2523 63 12 0.08 0.08 NUM iajs-2523 63 13 with with ADP iajs-2523 63 14 various various ADJ iajs-2523 63 15 temperature temperature NOUN iajs-2523 63 16 t=150,200,250.300 t=150,200,250.300 NOUN iajs-2523 63 17 and and CCONJ iajs-2523 63 18 350mev 350mev NUM iajs-2523 63 19 with with ADP iajs-2523 63 20 matlab matlab PROPN iajs-2523 63 21 program program NOUN iajs-2523 63 22 .results .result NOUN iajs-2523 63 23 are be AUX iajs-2523 63 24             SPACE iajs-2523 63 25 38 38 NUM iajs-2523 63 26     SPACE iajs-2523 63 27 ibn ibn PROPN iajs-2523 63 28 al al PROPN iajs-2523 63 29 - - PUNCT iajs-2523 63 30 haitham haitham PROPN iajs-2523 63 31 jour jour X iajs-2523 63 32 . . PROPN iajs-2523 64 1 for for ADP iajs-2523 64 2 pure pure ADJ iajs-2523 64 3 & & CCONJ iajs-2523 64 4 appl appl PROPN iajs-2523 64 5 . . PUNCT iajs-2523 65 1 sci sci PROPN iajs-2523 65 2 . . PROPN iajs-2523 66 1 33 33 NUM iajs-2523 66 2 ( ( PUNCT iajs-2523 66 3 4 4 NUM iajs-2523 66 4 ) ) PUNCT iajs-2523 66 5 2020 2020 NUM iajs-2523 66 6 listed list VERB iajs-2523 66 7 in in ADP iajs-2523 66 8 table table NOUN iajs-2523 66 9 ( ( PUNCT iajs-2523 66 10 2 2 NUM iajs-2523 66 11 ) ) PUNCT iajs-2523 66 12 with with ADP iajs-2523 66 13 tc tc NOUN iajs-2523 66 14 = = SYM iajs-2523 66 15 150 150 NUM iajs-2523 66 16 mev mev NOUN iajs-2523 66 17 and and CCONJ iajs-2523 66 18 table table NOUN iajs-2523 66 19 ( ( PUNCT iajs-2523 66 20 3 3 NUM iajs-2523 66 21 ) ) PUNCT iajs-2523 66 22 with with ADP iajs-2523 66 23 tc tc NOUN iajs-2523 66 24 = = SYM iajs-2523 66 25 190 190 NUM iajs-2523 66 26 mev mev PROPN iajs-2523 66 27 . . 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PUNCT iajs-2523 96 1 overall overall ADJ iajs-2523 96 2 results result NOUN iajs-2523 96 3 are be AUX iajs-2523 96 4 less less ADV iajs-2523 96 5 effective effective ADJ iajs-2523 96 6 in in ADP iajs-2523 96 7 the the DET iajs-2523 96 8 case case NOUN iajs-2523 96 9 of of ADP iajs-2523 96 10 critical critical ADJ iajs-2523 96 11 temperature temperature NOUN iajs-2523 96 12 whith whith ADP iajs-2523 96 13 compared compare VERB iajs-2523 96 14 with with ADP iajs-2523 96 15 photons photon NOUN iajs-2523 96 16 energy energy NOUN iajs-2523 96 17 and and CCONJ iajs-2523 96 18 strength strength NOUN iajs-2523 96 19 coupling couple VERB iajs-2523 96 20 .finally .finally ADV iajs-2523 96 21 , , PUNCT iajs-2523 96 22 in in ADP iajs-2523 96 23 both both DET iajs-2523 96 24 figures figure NOUN iajs-2523 96 25 ( ( PUNCT iajs-2523 96 26 1 1 NUM iajs-2523 96 27 ) ) PUNCT iajs-2523 96 28 and and CCONJ iajs-2523 96 29 ( ( PUNCT iajs-2523 96 30 2 2 NUM iajs-2523 96 31 ) ) PUNCT iajs-2523 96 32 , , PUNCT iajs-2523 96 33 we we PRON iajs-2523 96 34 consider consider VERB iajs-2523 96 35 the the DET iajs-2523 96 36 qg qg PROPN iajs-2523 96 37 plasma plasma NOUN iajs-2523 96 38 interaction interaction NOUN iajs-2523 96 39 has have VERB iajs-2523 96 40 large large ADJ iajs-2523 96 41 effect effect NOUN iajs-2523 96 42 with with ADP iajs-2523 96 43 photons photon NOUN iajs-2523 96 44 energy energy NOUN iajs-2523 96 45 and and CCONJ iajs-2523 96 46 strength strength NOUN iajs-2523 96 47 coupling coupling NOUN iajs-2523 96 48 and and CCONJ iajs-2523 96 49 less less ADJ iajs-2523 96 50 effect effect NOUN iajs-2523 96 51 with with ADP iajs-2523 96 52 critical critical ADJ iajs-2523 96 53 temperature temperature NOUN iajs-2523 96 54 . . PUNCT iajs-2523 97 1 it it PRON iajs-2523 97 2 is be AUX iajs-2523 97 3 found find VERB iajs-2523 97 4 that that SCONJ iajs-2523 97 5 the the DET iajs-2523 97 6 flow flow NOUN iajs-2523 97 7 rate rate NOUN iajs-2523 97 8 of of ADP iajs-2523 97 9 photons photon NOUN iajs-2523 97 10 due due ADP iajs-2523 97 11 to to ADP iajs-2523 97 12 tc=190 tc=190 PROPN iajs-2523 97 13 mev mev PROPN iajs-2523 97 14 is be AUX iajs-2523 97 15 large large ADJ iajs-2523 97 16 in in ADP iajs-2523 97 17 comparison comparison NOUN iajs-2523 97 18 to to ADP iajs-2523 97 19 the the DET iajs-2523 97 20 tc=150 tc=150 PROPN iajs-2523 97 21 mev mev PROPN iajs-2523 97 22 . . PUNCT iajs-2523 98 1 also also ADV iajs-2523 98 2 , , PUNCT iajs-2523 98 3 it it PRON iajs-2523 98 4 is be AUX iajs-2523 98 5 found find VERB iajs-2523 98 6 a a DET iajs-2523 98 7 large large ADJ iajs-2523 98 8 flow flow NOUN iajs-2523 98 9 photons photon NOUN iajs-2523 98 10 rate rate NOUN iajs-2523 98 11 due due ADP iajs-2523 98 12 to to ADP iajs-2523 98 13 same same ADJ iajs-2523 98 14 fugacity fugacity NOUN iajs-2523 98 15 . . PUNCT iajs-2523 99 1 5.conclusion 5.conclusion NUM iajs-2523 99 2 in in ADP iajs-2523 99 3 conclusion conclusion NOUN iajs-2523 99 4 the the DET iajs-2523 99 5 flow flow NOUN iajs-2523 99 6 rate rate NOUN iajs-2523 99 7 of of ADP iajs-2523 99 8 photons photon NOUN iajs-2523 99 9 yield yield NOUN iajs-2523 99 10 is be AUX iajs-2523 99 11 evaluated evaluate VERB iajs-2523 99 12 by by ADP iajs-2523 99 13 integrated integrate VERB iajs-2523 99 14 the the DET iajs-2523 99 15 flow flow NOUN iajs-2523 99 16 rate rate NOUN iajs-2523 99 17 over over ADP iajs-2523 99 18 plasma plasma NOUN iajs-2523 99 19 phase phase NOUN iajs-2523 99 20 . . PUNCT iajs-2523 100 1 the the DET iajs-2523 100 2 calculation calculation NOUN iajs-2523 100 3 of of ADP iajs-2523 100 4 flow flow NOUN iajs-2523 100 5 rate rate NOUN iajs-2523 100 6 of of ADP iajs-2523 100 7 photons photon NOUN iajs-2523 100 8 production production NOUN iajs-2523 100 9 as as ADP iajs-2523 100 10 a a DET iajs-2523 100 11 function function NOUN iajs-2523 100 12 of of ADP iajs-2523 100 13 photons photon NOUN iajs-2523 100 14 energy energy NOUN iajs-2523 100 15 corporating corporating NOUN iajs-2523 100 16 with with ADP iajs-2523 100 17 strength strength NOUN iajs-2523 100 18 coupling coupling NOUN iajs-2523 100 19 and and CCONJ iajs-2523 100 20 critical critical ADJ iajs-2523 100 21 temperature temperature NOUN iajs-2523 100 22 .so .so PUNCT iajs-2523 100 23 , , PUNCT iajs-2523 100 24 the the DET iajs-2523 100 25 flow flow NOUN iajs-2523 100 26 rate rate NOUN iajs-2523 100 27 of of ADP iajs-2523 100 28 photons photon NOUN iajs-2523 100 29 emission emission VERB iajs-2523 100 30 from from ADP iajs-2523 100 31 a a DET iajs-2523 100 32 qg qg PROPN iajs-2523 100 33 plasma plasma NOUN iajs-2523 100 34 system system NOUN iajs-2523 100 35 play play VERB iajs-2523 100 36 an an DET iajs-2523 100 37 important important ADJ iajs-2523 100 38 role role NOUN iajs-2523 100 39 in in ADP iajs-2523 100 40 the the DET iajs-2523 100 41 investigation investigation NOUN iajs-2523 100 42 of of ADP iajs-2523 100 43 photon photon NOUN iajs-2523 100 44 emission emission NOUN iajs-2523 100 45 from from ADP iajs-2523 100 46 higher high ADJ iajs-2523 100 47 energy energy NOUN iajs-2523 100 48 collision collision NOUN iajs-2523 100 49 . . PUNCT iajs-2523 101 1 it it PRON iajs-2523 101 2 is be AUX iajs-2523 101 3 found find VERB iajs-2523 101 4 that that SCONJ iajs-2523 101 5 large large ADJ iajs-2523 101 6 increase increase NOUN iajs-2523 101 7 of of ADP iajs-2523 101 8 flow flow NOUN iajs-2523 101 9 photons photon NOUN iajs-2523 101 10 production production NOUN iajs-2523 101 11 rate rate NOUN iajs-2523 101 12 with with ADP iajs-2523 101 13 decreased decrease VERB iajs-2523 101 14 strength strength NOUN iajs-2523 101 15 coupling coupling NOUN iajs-2523 101 16 and and CCONJ iajs-2523 101 17 with with ADP iajs-2523 101 18 increasing increase VERB iajs-2523 101 19 the the DET iajs-2523 101 20 temperature temperature NOUN iajs-2523 101 21 t t NOUN iajs-2523 101 22 and and CCONJ iajs-2523 101 23 critical critical ADJ iajs-2523 101 24 temperature temperature NOUN iajs-2523 101 25 at at ADP iajs-2523 101 26 qg qg PROPN iajs-2523 101 27 plasma plasma NOUN iajs-2523 101 28 system system NOUN iajs-2523 101 29 . . PUNCT iajs-2523 102 1 therefore therefore ADV iajs-2523 102 2 , , PUNCT iajs-2523 102 3 the the DET iajs-2523 102 4 flow flow NOUN iajs-2523 102 5 photon photon NOUN iajs-2523 102 6 rate rate NOUN iajs-2523 102 7 is be AUX iajs-2523 102 8 important important ADJ iajs-2523 102 9 for for ADP iajs-2523 102 10 giving give VERB iajs-2523 102 11 the the DET iajs-2523 102 12 information information NOUN iajs-2523 102 13 to to PART iajs-2523 102 14 create create VERB iajs-2523 102 15 quark quark ADJ iajs-2523 102 16 - - PUNCT iajs-2523 102 17 gluon gluon NOUN iajs-2523 102 18 plasma plasma NOUN iajs-2523 102 19 media medium NOUN iajs-2523 102 20 and and CCONJ iajs-2523 102 21 supply supply VERB iajs-2523 102 22 more more ADJ iajs-2523 102 23 knowledge knowledge NOUN iajs-2523 102 24 for for ADP iajs-2523 102 25 the the DET iajs-2523 102 26 study study NOUN iajs-2523 102 27 and and CCONJ iajs-2523 102 28 understanding understanding NOUN iajs-2523 102 29 of of ADP iajs-2523 102 30 qgp qgp NOUN iajs-2523 102 31 interaction interaction NOUN iajs-2523 102 32 . . PUNCT iajs-2523 103 1 references reference NOUN iajs-2523 103 2 1arsene 1arsene PROPN iajs-2523 103 3 . . PUNCT iajs-2523 103 4 i. i. PROPN iajs-2523 103 5 ; ; PUNCT iajs-2523 103 6 bearden bearden PROPN iajs-2523 103 7 . . PUNCT iajs-2523 104 1 i.g i.g PROPN iajs-2523 104 2 . . PROPN iajs-2523 104 3 ; ; PUNCT iajs-2523 105 1 beavis beavis PROPN iajs-2523 105 2 . . PUNCT iajs-2523 106 1 d. d. PROPN iajs-2523 106 2 ; ; PUNCT iajs-2523 106 3 besliu besliu NOUN iajs-2523 106 4 . . PUNCT iajs-2523 107 1 c. c. NOUN iajs-2523 107 2 ; ; PUNCT iajs-2523 107 3 budick budick PROPN iajs-2523 107 4 . . PUNCT iajs-2523 108 1 b. b. PROPN iajs-2523 108 2 ; ; PUNCT iajs-2523 108 3 bøggild bøggild NOUN iajs-2523 108 4 . . PUNCT iajs-2523 109 1 h. h. PROPN iajs-2523 109 2 ; ; PUNCT iajs-2523 109 3 chasman chasman PROPN iajs-2523 109 4 . . PUNCT iajs-2523 110 1 c. c. PROPN iajs-2523 110 2 ; ; PUNCT iajs-2523 111 1 christensen christensen PROPN iajs-2523 111 2 . . PUNCT iajs-2523 112 1 c.h c.h PROPN iajs-2523 112 2 . . PROPN iajs-2523 112 3 ; ; PUNCT iajs-2523 113 1 christiansen christiansen PROPN iajs-2523 113 2 . . PUNCT iajs-2523 114 1 p. p. NOUN iajs-2523 114 2 ; ; PUNCT iajs-2523 115 1 cibor cibor PROPN iajs-2523 115 2 . . PUNCT iajs-2523 116 1 j. j. PROPN iajs-2523 116 2 and and CCONJ iajs-2523 116 3 debbe debbe NOUN iajs-2523 116 4 , , PUNCT iajs-2523 116 5 r. r. PROPN iajs-2523 116 6 quark quark PROPN iajs-2523 116 7 – – PUNCT iajs-2523 116 8 gluon gluon NOUN iajs-2523 116 9 plasma plasma NOUN iajs-2523 116 10 and and CCONJ iajs-2523 116 11 color color NOUN iajs-2523 116 12 glass glass NOUN iajs-2523 116 13 condensate condensate NOUN iajs-2523 116 14 at at ADP iajs-2523 116 15 rhic rhic ADJ iajs-2523 116 16 , , PUNCT iajs-2523 116 17 the the DET iajs-2523 116 18 perspective perspective NOUN iajs-2523 116 19 from from ADP iajs-2523 116 20 the the DET iajs-2523 116 21 brahms brahms NOUN iajs-2523 116 22 experiment experiment NOUN iajs-2523 116 23 . . PUNCT iajs-2523 117 1 nuclear nuclear ADJ iajs-2523 117 2 physics physics PROPN iajs-2523 117 3 a.2005.757(1 a.2005.757(1 NOUN iajs-2523 117 4 - - SYM iajs-2523 117 5 2 2 NUM iajs-2523 117 6 ) ) PUNCT iajs-2523 117 7 , , PUNCT iajs-2523 117 8 1 1 NUM iajs-2523 117 9 - - SYM iajs-2523 117 10 27 27 NUM iajs-2523 117 11 . . PUNCT iajs-2523 118 1 2adams 2adam NOUN iajs-2523 118 2 . . PUNCT iajs-2523 119 1 j. j. PROPN iajs-2523 119 2 ; ; PUNCT iajs-2523 119 3 aggarwal aggarwal PROPN iajs-2523 119 4 . . PUNCT iajs-2523 120 1 m.m m.m PROPN iajs-2523 120 2 . . PROPN iajs-2523 120 3 ; ; PUNCT iajs-2523 120 4 ahammed ahamme VERB iajs-2523 120 5 . . PUNCT iajs-2523 121 1 z. z. PROPN iajs-2523 121 2 ; ; PUNCT iajs-2523 121 3 amonett amonett PROPN iajs-2523 121 4 . . PUNCT iajs-2523 122 1 j. j. PROPN iajs-2523 122 2 ; ; PUNCT iajs-2523 122 3 anderson anderson PROPN iajs-2523 122 4 . . PUNCT iajs-2523 123 1 b.d b.d PROPN iajs-2523 123 2 . . PROPN iajs-2523 123 3 ; ; PUNCT iajs-2523 123 4 arkhipkin arkhipkin PROPN iajs-2523 123 5 . . PUNCT iajs-2523 124 1 d. d. PROPN iajs-2523 124 2 ; ; PUNCT iajs-2523 124 3 averichev averichev PROPN iajs-2523 124 4 . . PUNCT iajs-2523 125 1 g.s g.s PROPN iajs-2523 125 2 . . PROPN iajs-2523 125 3 ; ; PUNCT iajs-2523 125 4 badyal badyal NOUN iajs-2523 125 5 . . PUNCT iajs-2523 126 1 s.k s.k PROPN iajs-2523 126 2 . . PROPN iajs-2523 126 3 ; ; PUNCT iajs-2523 126 4 bai bai PROPN iajs-2523 126 5 . . PUNCT iajs-2523 127 1 y. y. PROPN iajs-2523 127 2 ; ; PUNCT iajs-2523 127 3 balewski balewski VERB iajs-2523 127 4 . . PUNCT iajs-2523 128 1 j. j. PROPN iajs-2523 128 2 and and CCONJ iajs-2523 128 3 barannikova barannikova PROPN iajs-2523 128 4 , , PUNCT iajs-2523 128 5 o. o. PROPN iajs-2523 128 6 experimental experimental ADJ iajs-2523 128 7 and and CCONJ iajs-2523 128 8 theoretical theoretical ADJ iajs-2523 128 9 challenges challenge NOUN iajs-2523 128 10 in in ADP iajs-2523 128 11 the the DET iajs-2523 128 12 search search NOUN iajs-2523 128 13 for for ADP iajs-2523 128 14 the the DET iajs-2523 128 15 quark quark NOUN iajs-2523 128 16 – – PUNCT iajs-2523 128 17 gluon gluon NOUN iajs-2523 128 18 plasma plasma NOUN iajs-2523 128 19 : : PUNCT iajs-2523 128 20 the the DET iajs-2523 128 21 star star NOUN iajs-2523 128 22 collaboration collaboration PROPN iajs-2523 128 23 's 's PART iajs-2523 128 24 critical critical ADJ iajs-2523 128 25 assessment assessment NOUN iajs-2523 128 26 of of ADP iajs-2523 128 27 the the DET iajs-2523 128 28 evidence evidence NOUN iajs-2523 128 29 from from ADP iajs-2523 128 30 rhic rhic ADJ iajs-2523 128 31 collisions collision NOUN iajs-2523 128 32 . . PUNCT iajs-2523 129 1 nuclear nuclear ADJ iajs-2523 129 2 physics physics PROPN iajs-2523 129 3 a.2005,757(1 a.2005,757(1 PROPN iajs-2523 129 4 - - SYM iajs-2523 129 5 2 2 NUM iajs-2523 129 6 ) ) PUNCT iajs-2523 130 1 , , PUNCT iajs-2523 130 2 102 102 NUM iajs-2523 130 3 - - SYM iajs-2523 130 4 183 183 NUM iajs-2523 130 5 . . PUNCT iajs-2523 131 1 3adam 3adam NUM iajs-2523 131 2 . . PUNCT iajs-2523 132 1 j. j. PROPN iajs-2523 132 2 ; ; PUNCT iajs-2523 132 3 adamová adamová PROPN iajs-2523 132 4 . . PUNCT iajs-2523 133 1 d. d. PROPN iajs-2523 133 2 ; ; PUNCT iajs-2523 133 3 aggarwal aggarwal NOUN iajs-2523 133 4 . . PUNCT iajs-2523 134 1 m.m m.m PROPN iajs-2523 134 2 . . PROPN iajs-2523 134 3 ; ; PUNCT iajs-2523 134 4 rinella rinella PROPN iajs-2523 134 5 . . PUNCT iajs-2523 135 1 g.a g.a PROPN iajs-2523 135 2 . . PROPN iajs-2523 135 3 ; ; PUNCT iajs-2523 135 4 agnello agnello PROPN iajs-2523 135 5 . . PUNCT iajs-2523 135 6 m. m. 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PROPN iajs-2523 142 3 direct direct ADJ iajs-2523 142 4 photon photon NOUN iajs-2523 142 5 production production NOUN iajs-2523 142 6 in in ADP iajs-2523 142 7 pb pb ADP iajs-2523 142 8 – – PUNCT iajs-2523 142 9 pb pb ADP iajs-2523 142 10 collisions collision NOUN iajs-2523 142 11 at at ADP iajs-2523 142 12 snn= snn= PROPN iajs-2523 142 13 2.76 2.76 NUM iajs-2523 142 14 tev tev NOUN iajs-2523 142 15 . . PUNCT iajs-2523 143 1 physics physics NOUN iajs-2523 143 2 letters letter NOUN iajs-2523 143 3 b.2016,754 b.2016,754 PROPN iajs-2523 143 4 , , PUNCT iajs-2523 143 5 235 235 NUM iajs-2523 143 6 - - SYM iajs-2523 143 7 248 248 NUM iajs-2523 143 8 . . PUNCT iajs-2523 143 9             SPACE iajs-2523 144 1 41 41 NUM iajs-2523 144 2     SPACE iajs-2523 144 3 ibn ibn PROPN iajs-2523 144 4 al al PROPN iajs-2523 144 5 - - PUNCT iajs-2523 144 6 haitham haitham PROPN iajs-2523 144 7 jour jour X iajs-2523 144 8 . . 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