QCD equation of state for heavy ion collisions

A-Meng Zhao; Yuan-Mei Shi; Jian-Feng Li; Hong-Shi Zong

doi:10.1088/1674-1137/41/10/103101

Chinese Physics C> 2017, Vol. 41> Issue(10) : 103101 DOI: 10.1088/1674-1137/41/10/103101

QCD equation of state for heavy ion collisions

A-Meng Zhao ^1,, ,
Yuan-Mei Shi ^2,4 ,
Jian-Feng Li ^3,4 ,
Hong-Shi Zong ^4,5,6,,

1.
Department of Foundation, Southeast University Chengxian College, Nanjing 210088, China
2.
Department of Physics and Electronic Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China
3.
Department of Physics, Nanjing University, Nanjing 210093, China
4.
College of Mathematics and Physics, Nantong University, Nantong 226019, China
5.
Department of Physics, Nanjing University, Nanjing 210093, China
6.
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
7.
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China

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Abstract：
In this work, we calculate the equation of state (EoS) of quark gluon-plasma (QGP) using the Cornwall-Jackiw-Tomboulis (CJT) effective action. We get the quark propagator by using the rank-1 separable model within the framework of the Dyson-Schwinger equations (DSEs). The results from CJT effective action are compared with lattice QCD data. We find that, when μ is small, our results generally fit the lattice QCD data when T>T_c, but show deviations at and below T_c. It can be concluded that the EoS of CJT is reliable when T>T_c. Then, by adopting the hydrodynamic code UVH2+1, we compare the CJT results of the multiplicity and elliptic flow v₂ with the PHENIX data and the results from the original EoS in UVH2+1. While the CJT results of multiplicities generally match the original UVH2+1 results and fit the experimental data, the CJT results of v₂ are slightly larger than the original UVH2+1 results for centralities smaller than 40% and smaller than the original UVH2+1 results for higher centralities.
- heavy ion collisions ,
- equation of state ,
- multiplicity ,
- elliptic flow ,
- CJT effective action

References

[1]	P.Braun-Munzinger and J. Wambach, Rev. Mod. Phys., 81:1031-1050(2009)
[2]	J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D, 10:2428(1974)
[3]	K. Stam, Phys. Lett. B, 152:238(1985)
[4]	C. D. Roberts, Sebastian, and M. Schmidt, Prog. Part. Nucl. Phys., 45:s1(2000)
[5]	Y. Hatta and T. Ikeda, Phys. Rev. D, 67:014028(2003)
[6]	C. Shi, Y. L. Wang, Y. Jiang, Z.F. Cui, and H. S. Zong, JHEP 07:014(2014)
[7]	D. Blaschke, G. Burau, Yu. L. Kalinovsky, P. Maris, and P. C. Tandy, Int. J. Mod. Phys. A, 16:2267(2001)
[8]	M. He, J. F. Li, W. M. Sun, and H. S. Zong, Phys. Rev. D, 79:036001(2009)
[9]	A.M. Zhao, Z. F. Cui, Y. Jiang, and H. S. Zong, Phys. Rev. D, 90:114031(2014)
[10]	R. Baier, P. Romatschke, and U. A. Wiedemann, Phys. Rev. C, 73:064903(2006)
[11]	R. Baier and P. Romatschke, Eur. Phys. J. C, 51:677(2007)
[12]	P. Romatschke, Eur. Phys. J. C, 52:203(2007)
[13]	P. Romatschke and U. Romatschke, Phys. Rev. Lett., 99:172301(2007)
[14]	H. S. Zong and W. M. Sun, Phys. Rev. D, 78:054001(2008)
[15]	C. J. Burden, L. Qian, C. D. Roberts, P. C. Tandy, and M. J. Thomson, Phys. Rev. C, 55:2649(1997)
[16]	G. F. Burgio, H. Chen, H.-J. Schulze, and G. Taranto, PoS Confinement X, 255(2013)
[17]	J. Cleymans, H. Oeschler, K. Redlich, and S. Wheaton, Phys. Rev. C, 73:034905(2006)
[18]	S. Borsanyi et al, JHEP, 1009:073(2010)
[19]	Z. Fodor, S. D. Katz, and K. K. Szabo, Phys. Lett. B, 568:73-77(2003)
[20]	J. Letessier and J. Rafelski, Phys. Rev. C, 67:031902(2003)
[21]	C. R. Allton, S. Ejiri, S. J. Hands, O. Kaczmarek, F. Karsch, E. Laermann, and C. Schmidt, Phys. Rev. D, 68:014507(2003)
[22]	The PHENIX Collaboration, Phys. Rev. C, 69:034909(2004)
[23]	The PHENIX Collaboration, Phys. Rev. C, 80:024909(2009)
[24]	M. Laine and Y. Schroder, Phys. Rev. D, 73:085009(2006)

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[18]	ZHANG Da-Lin , QIU Sui-Zheng , LIU Chang-Liang , SU Guang-Hui . Steady state investigation on neutronics of a molten salt reactor considering the flow effect of fuel salt. Chinese Physics C, 2008, 32(8): 624-628. doi: 10.1088/1674-1137/32/8/007
[19]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.
[20]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

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A-Meng Zhao, Yuan-Mei Shi, Jian-Feng Li and Hong-Shi Zong. QCD equation of state for heavy ion collisions[J]. Chinese Physics C, 2017, 41(10): 103101. doi: 10.1088/1674-1137/41/10/103101

A-Meng Zhao, Yuan-Mei Shi, Jian-Feng Li and Hong-Shi Zong. QCD equation of state for heavy ion collisions[J]. Chinese Physics C, 2017, 41(10): 103101. doi: 10.1088/1674-1137/41/10/103101 shu

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Received: 2017-01-19
Revised: 2017-06-16

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Supported by National Natural Science Foundation of China (11447121, 11475085, 11535005, 11690030), Fundamental Research Funds for the Central Universities (020414380074), Jiangsu Planned Projects for Postdoctoral Research Funds (1501035B) and Natural Science Foundation of Jiangsu Province (BK20130078, BK20130387)

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沈阳化工大学材料科学与工程学院沈阳 110142

QCD equation of state for heavy ion collisions

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QCD equation of state for heavy ion collisions

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