Chinese Physics C > 2019, Vol. 43 > Issue(5): 054109 DOI: 10.1088/1674-1137/43/5/054109

Second to tenth order susceptibilities of conserved charges within a modified Nambu-Jona-Lasinio model

1.
Kuang Yaming Honors School, Nanjing University, Nanjing 210093, China
2.
Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
3.
Department of Physics, Nanjing University, Nanjing 210093, China

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Abstract：
We discuss the sign and energy dependence of second to tenth order susceptibilities of the baryon number, charge number, and strangeness for the analysis of critical conditions in heavy ion collisions in the LHC and RHIC by applying a modified Nambu-Jona-Lasinio model. This model is fitted to the quark condensate of the lattice QCD result at finite temperature and zero baryon chemical potential. The presence of a critical point made these susceptibilities deviate considerably from a Hadron-Resonance-Gas model that shows no criticality. The sign, magnitude, and energy dependence of these higher order fluctuations hint towards the existence and location of a critical point that could be discovered in future heavy ion collision experiments.
- QCD critical point,
- NJL model,
- heavy-ion collisions,
- QCD phase diagram

References

[1]	Mikhail A Stephanov, Int. J. Mod. Phys. A,20(19): 4387-4392 (2005) doi:10.1142/S0217751X05027965
[2]	Zoltan Fodor and Sandor D Katz, Phys. Lett. B,534(1): 87-92 (2002)
[3]	Masayuki Asakawa and Koichi Yazaki, Nucl. Phys. A,504(4): 668-684 (1989) doi:10.1016/0375-9474(89)90002-X
[4]	MA Halasz, AD Jackson, RE Shrock et al, Phys. Rev. D,58(9): 096007 (1998) doi:10.1103/PhysRevD.58.096007
[5]	MA Stephanov, Qcd phase diagram: an overview. PoS LAT2006,24: (2016), arXiv:hep-lat/0701002
[6]	Shinji Ejiri, Phys. Rev. D,78(7): 074507 (2008) doi:10.1103/PhysRevD.78.074507
[7]	Sourendu Gupta, Xiaofeng Luo, Bedangadas Mohanty et al, Science,332: 1525-1528 (2011) doi:10.1126/science.1204621
[8]	MM Aggarwal, Z Ahammed, AV Alakhverdyants et al, Phys. Rev. Lett.,105(2): 022302 (2010) doi:10.1103/PhysRevLett.105.022302
[9]	L Adamczyk, JK Adkins, G Agakishiev et al, Phys. Rev. Lett.,113(9): 092301 (2014) doi:10.1103/PhysRevLett.113.092301
[10]	L Adamczyk, JK Adkins, G Agakishiev et al, Phys. Rev. Lett.,112(3): 032302 (2014) doi:10.1103/PhysRevLett.112.032302
[11]	Xiaofeng Luo. Energy Dependence of Moments of Net-Proton and NetCharge Multiplicity Distributions at STAR. PoS, CPOD2014: 019, 2015
[12]	Xiaofeng Luo. Exploring the qcd phase structure with beam energy scan in heavy-ion collisions. Nucl. Phys. A, 956: 75–82, 2016. The XXV International Conference on Ultrarelativistic Nucleus-Nucleus Collisions: Quark Matter 2015
[13]	Xiaofeng Luo and Nu Xu, Nucl. Sci. Tech.,28(8): 112 (2017) doi:10.1007/s41365-017-0257-0
[14]	Leszek Adamczyk, JR Adams, JK Adkins et al, Phys. Lett. B,785: 551-560 (2018) doi:10.1016/j.physletb.2018.07.066
[15]	Xiaofeng Luo, J. Phys. G,39: 025008 (2012)
[16]	Ji Xu, Shili Yu, Feng Liu et al, Phys. Rev. C,94(2): 024901 (2016) doi:10.1103/PhysRevC.94.024901
[17]	Shu He, Xiaofeng Luo, Yasushi Nara et al, Phys. Lett. B,762: 296-300 (2016) doi:10.1016/j.physletb.2016.09.053
[18]	Yoichiro Nambu and Giovanni Jona-Lasinio, Phys. Rev.,122(1): 345 (1961) doi:10.1103/PhysRev.122.345
[19]	SP Klevansky, Rev. Mod. Phys.,64(3): 649 (1992) doi:10.1103/RevModPhys.64.649
[20]	Yoshitaka Hatta and Takashi Ikeda, Phys. Rev. D,67(1): 014028 (2003) doi:10.1103/PhysRevD.67.014028
[21]	Jiunn-Wei Chen, Jian Deng, and Lance Labun, Phys. Rev. D,92(5): 054019 (2015) doi:10.1103/PhysRevD.92.054019
[22]	MA Stephanov, Phys. Rev. Lett.,102(3): 032301 (2009) doi:10.1103/PhysRevLett.102.032301
[23]	Masayuki Asakawa, Shinji Ejiri, and Masakiyo Kitazawa, Phys. Rev. Lett.,103(26): 262301 (2009) doi:10.1103/PhysRevLett.103.262301
[24]	MA Stephanov, Phys. Rev. Lett.,107(5): 052301 (2011) doi:10.1103/PhysRevLett.107.052301
[25]	Jiunn-Wei Chen, Jian Deng, Hiroaki Kohyama et al, Phys. Rev. D,93(3): 034037 (2016) doi:10.1103/PhysRevD.93.034037
[26]	Wenkai Fan, Xiaofeng Luo, and Hong-Shi Zong, International Journal of Modern Physics A,32(11): 1750061 (2017)
[27]	Wei-jie Fu and Yue-liang Wu, Phys. Rev. D,82(7): 074013 (2010) doi:10.1103/PhysRevD.82.074013
[28]	Zhu-fang Cui, Chao Shi, Wei-min Sun et al, Eur. Phys. J. C,74: 2782 (2014)
[29]	Z-F Cui, Ian C Cloet, Ya Lu et al, Phys. Rev. D,94(7): 071503 (2016)
[30]	B Friman, F Karsch, K Redlich et al, Eur. Phys. J. C,71: (2011)
[31]	Chao Shi, Yi-Lun Du, Shu-Sheng Xu et al, Phys. Rev. D,93(3): 036006 (2016)
[32]	Sabita Das. Chemical freeze-out parameters in beam energy scan program of star at rhic. InEPJ Web of Conferences, volume 90, page 10003. EDP Sciences, 2015
[33]	Boris Berdnikov and Krishna Rajagopal, Phys. Rev. D,61(10): 105017 (2000) doi:10.1103/PhysRevD.61.105017
[34]	Christiana Athanasiou, Krishna Rajagopal, and Misha Stephanov, Phys. Rev. D,82(7): 074008 (2010) doi:10.1103/PhysRevD.82.074008
[35]	Volker Koch. Hadronic fluctuations and correlations. InRelativistic Heavy Ion Physics, pages 626–652. Springer, 2010
[36]	TG Steele, Zeitschrift fur Physik C Particles and Fields,42(3): 499-503 (1989) doi:10.1007/BF01548457
[37]	Yu Jiang, Hao Gong, Wei-min Sun et al, Phys. Rev. D,85(3): 034031 (2012) doi:10.1103/PhysRevD.85.034031
[38]	Tetsuo Hatsuda and Teiji Kunihiro, Phys. Lett. B,198(2): 126-130 (1987) doi:10.1016/0370-2693(87)91481-X
[39]	Szabolcs Borsányi, Zoltán Fodor, Christian Hoelbling, Sándor D Katz, Stefan Krieg, Claudia Ratti, and Kálmán K Szabó, J. High. Energy. Phys.,2010(9): 1-26 (2010)
[40]	Kenji Fukushima, Phys. Rev. D,77(11): 114028 (2008) doi:10.1103/PhysRevD.77.114028
[41]	Paul Springer, Jens Braun, Stefan Rechenberger et al, Qcd-inspired determination of njl model parameters. 137: 03022, 2017
[42]	Yuji Sakai, Takahiro Sasaki, Hiroaki Kouno et al, Physical Review D,82(7): 076003 (2010) doi:10.1103/PhysRevD.82.076003
[43]	Sandeep Chatterjee, Sabita Das, Lokesh Kumar et al, Adv. High. Energy. Phys.,2015: 1-20 (2015)
[44]	Zhu-Fang Cui, Feng-Yao Hou, Yuan-Mei Shi et al, Annals Phys.,358: 172-205 (2015) doi:10.1016/j.aop.2015.03.025
[45]	Christian Schmidt, Progr. Theoret. Phys. Suppl.,186: 563-566 (2010) doi:10.1143/PTPS.186.563
[46]	J Cleymans, H Oeschler, K Redlich et al, J. Phys. G. Nucl. Partic.,32(12): S165 (2006)
[47]	VV Begun, V Vovchenko, and MI Gorenstein (Updates to the p+ p and a+ a chemical freeze-out lines from the new experimental data), (2016), arXiv:1609.04827 [nucl-th
[48]	Masakiyo Kitazawa, Tomoi Koide, Teiji Kunihiro et al, Progr. Theoret. Phys.,108(5): 929-951 (2002) doi:10.1143/PTP.108.929
[49]	Wenkai Fan, Xiaofeng Luo, and Hongshi Zong, Chinese Physics C,43(3): 033103 (2019) doi:10.1088/1674-1137/43/3/033103

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Wenkai Fan, Xiaofeng Luo and Hongshi Zong. Second to tenth order susceptibilities of conserved charges within a modified Nambu-Jona-Lasinio model[J]. Chinese Physics C, 2019, 43(5): 054109. doi: 10.1088/1674-1137/43/5/054109

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Received: 2019-01-23

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沈阳化工大学材料科学与工程学院沈阳 110142

Second to tenth order susceptibilities of conserved charges within a modified Nambu-Jona-Lasinio model

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Second to tenth order susceptibilities of conserved charges within a modified Nambu-Jona-Lasinio model