New Exact Solutions of Relativistic Hydrodynamics for Longitudinally Expanding Fireballs

被引：14
作者：
Csorgo, Tamas [1 ,2 ]
Kasza, Gabor [2 ]
Csanad, Mate [3 ]
Jiang, Zefang [4 ,5 ]
机构：
[1] Wigner Res Ctr Phys, POB 49, H-1525 Budapest 114, Hungary
[2] Eszterhazy Karoly Univ, Fac Nat Sci, Karoly Robert Campus,Matrai Ut 36, H-3200 Gyongyos, Hungary
[3] Eotvos Lorand Univ, Dept Atom Phys, Pazmany Ps 1-A, H-1117 Budapest, Hungary
[4] Minist Educ, Key Lab Quark & Lepton Phys, Wuhan 430079, Hubei, Peoples R China
[5] Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Hubei, Peoples R China
来源：
UNIVERSE | 2018年 / 4卷 / 06期
基金：
中国国家自然科学基金;
关键词：
relativistic hydrodynamics; exact solution; quark-gluon plasma; longitudinal flow; rapidity distribution; pseudorapidity distribution; QUARK-GLUON PLASMA; COLLISIONS; COLLABORATION; PERSPECTIVE;
D O I：
10.3390/universe4060069
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We present new, exact, finite solutions of relativistic hydrodynamics for longitudinally expanding fireballs for arbitrary constant value of the speed of sound. These new solutions generalize earlier, longitudinally finite, exact solutions, from an unrealistic to a reasonable equation of state, characterized by a temperature independent (average) value of the speed of sound. Observables such as the rapidity density and the pseudorapidity density are evaluated analytically, resulting in simple and easy to fit formulae that can be matched to the high energy proton-proton and heavy ion collision data at RHIC and LHC. In the longitudinally boost-invariant limit, these new solutions approach the Hwa-Bjorken solution and the corresponding rapidity distributions approach a rapidity plateaux.
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页数：21
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