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

Abstract
HTML
Reference
Related

PDF

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)

[1]	Luyao Tong , Pengcheng Li , Fupeng Li , Yongjia Wang , Qingfeng Li , Fanxin Liu . Nucleon effective mass splitting and density-dependent symmetry energy effects on elliptic flow in heavy ion collisions at E_lab= 0.09 ~ 1.5 GeV/nucleon. Chinese Physics C, 2020, 44(7): 074103. doi: 10.1088/1674-1137/44/7/074103
[2]	Biao Tu , Shusu Shi , Feng Liu . Elliptic flow of transported and produced protons in Au+Au collisions with the UrQMD model. Chinese Physics C, 2019, 43(5): 054106. doi: 10.1088/1674-1137/43/5/054106
[3]	Hai-hong Li , Feng-lan Shao , Jun Song . Multiplicity fluctuation and correlation of mesons and baryons in ultra-relativistic heavy-ion collisions at the LHC. Chinese Physics C, 2018, 42(1): 014102. doi: 10.1088/1674-1137/42/1/014102
[4]	Li Yan . A flow paradigm in heavy-ion collisions. Chinese Physics C, 2018, 42(4): 042001. doi: 10.1088/1674-1137/42/4/042001
[5]	A. H. Farajian , M. Bigdeli , S. Belbasi . LOCV calculation of the equations of state and properties of rapidly rotating neutron stars. Chinese Physics C, 2018, 42(6): 065102. doi: 10.1088/1674-1137/42/6/065102
[6]	Jiamin Chen , Xiaofeng Luo , Feng Liu , Yasushi Nara . Effects of mean-field and softening of equation of state on elliptic flow in Au+Au collisions at √s_NN=5 GeV from the JAM model. Chinese Physics C, 2018, 42(2): 024001. doi: 10.1088/1674-1137/42/2/024001
[7]	Volker Koch , Soeren Schlichting , Vladimir Skokov , Paul Sorensen , Jim Thomas , Sergei Voloshin , Gang Wang , Ho-Ung Yee . Status of the chiral magnetic effect and collisions of isobars. Chinese Physics C, 2017, 41(7): 072001. doi: 10.1088/1674-1137/41/7/072001
[8]	Jing Yang , Wei-Ning Zhang , Yan-Yu Ren . Pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss interferometry in a viscous granular source model. Chinese Physics C, 2017, 41(8): 084102. doi: 10.1088/1674-1137/41/8/084102
[9]	WANG Mei-Juan , CHEN Gang , WU Yuan-Fang . Eccentricity and elliptic flow at fixed centrality in Au+Au collisions at ^sNN=200 GeV in AMPT model. Chinese Physics C, 2013, 37(1): 014104. doi: 10.1088/1674-1137/37/1/014104
[10]	LI Lin , WANG Mei-Juan , WU Yuan-Fang . Neighboring azimuthal bin-bin multiplicity correlation as a direct measure for the shear viscosity in relativistic heavy ion collisions. Chinese Physics C, 2013, 37(9): 094102. doi: 10.1088/1674-1137/37/9/094102
[11]	YAN Ting-Zhi . Energy dependence for directed and elliptic flow in in termediate-energy heavy ion collisions. Chinese Physics C, 2013, 37(1): 014105. doi: 10.1088/1674-1137/37/1/014105
[12]	CUI Xiang-Li , LV Yan , WANG Xiao-Lian , PENG Ru . Spatial anisotropy: a method to study anisotropic flow in heavy ion collisions. Chinese Physics C, 2011, 35(5): 471-474. doi: 10.1088/1674-1137/35/5/013
[13]	LIU Fu-Ming , Tetsufumi Hirano , Klaus Werner , ZHU Yan . Elliptic flow of direct photons in Au+Au collisions at 200 GeV. Chinese Physics C, 2010, 34(9): 1433-1435. doi: 10.1088/1674-1137/34/9/063
[14]	LIU Jian-Li , WU Feng-Juan , ZHANG Jing-Bo , TANG Gui-Xin , HUO Lei . Effects of multi-collisions and surface on elliptic flow. Chinese Physics C, 2008, 32(S2): 21-23.
[15]	WU Feng-Juan , SHAN Lian-Qiang , ZHANG Jing-Bo , TANG Gui-Xin , HUO Lei . Azimuthal correlations between directed and elliptic flow in heavy ion collisions. Chinese Physics C, 2008, 32(12): 984-988. doi: 10.1088/1674-1137/32/12/008
[16]	Liu Fuhu , Sun Hancheng . Transverse Momentum and the Pseudorapidity Distributions of Negative Particles in Relativistic Heavy Ion Collisions. Chinese Physics C, 1995, 19(S1): 21-26.
[17]	Liu Jianye , Zhang Shaoguang . Dynamics Study on the Intermediate Energy Heavy Ion Collisions. Chinese Physics C, 1995, 19(S1): 103-109.
[18]	Liu Yiming , Zhang Weigang , Huo Lei , Wang Shan , D. Keane , S. Y. Chu , S. Y. Fung . Transverse Motion Correlation of Collective Flow in Relativistic Heavy Ion Collisions. Chinese Physics C, 1994, 18(S2): 167-174.
[19]	Deng Shenghua , Li Jiarong . Equation of State in the F-L Model and a Physical Picture of Deconfinement Transition. Chinese Physics C, 1994, 18(Z1): 49-54.
[20]	Zhang Fengshou , Ge Lingxiao , Wu Guohua . Multiplicity of Emitted Nucleons in Heavy Ion Collisions. Chinese Physics C, 1989, 13(S1): 109-109.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Fund

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)

Article Metric

Article Views(1790)
PDF Downloads(14)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

QCD equation of state for heavy ion collisions

Corresponding author: A-Meng Zhao,

Corresponding author: Hong-Shi Zong,

HTML

目录