论文标题

基于相对论均值场理论的相对论量子分子动力学方法中动量依赖的潜力和集体流动

Momentum-dependent potential and collective flows within the relativistic quantum molecular dynamics approach based on relativistic mean-field theory

论文作者

Nara, Yasushi, Maruyama, Tomoyuki, Stoecker, Horst

论文摘要

基于相对论均值场理论(RQMD.RMF)的相对论量子分子动力学通过包括动量依赖性电位来扩展。检验了质量的方程(EOS)的依赖性和质子在$ 2.3 <\ sqrt {s_ {nn}} <20 $ gev的质量范围内的质子方程。发现有向流的流量在很大程度上取决于高能的光势,$ \ sqrt {s_ {nn}}> 3 $ GEV,其中没有实验可用的信息。发现饱和密度下有效质量与光电位之间的相关性:有效质量的较小值需要较小的光学潜力强度来描述有向流数据。在椭圆流的光束能量依赖性$ \ sqrt {s_ {s_ {nn}}}}> 3 $ GEV中,也可以看到此相关性。另一方面,需要僵硬的EOS来描述较低能量处的椭圆流。从$ pa $ collisions上的光学潜力的实验约束将在高能下提供有关EOS的重要信息。质子和椭圆流在$ \ \ sqrt模型的RQMD.RMF中得到很好的描述。相比之下,要重现10 GEV上方的定向流量的崩溃,必须降低压力,这表明EOS在$ \ sqrt {s_ {nn}} = 10 $ GEV周围的aos软化。

Relativistic quantum molecular dynamics based on the relativistic mean field theory (RQMD.RMF) is extended by including momentum-dependent potential. The equation of state (EoS) dependence of the directed and the elliptic flow of protons in the beam energy range of $2.3 < \sqrt{s_{NN}}< 20$ GeV is examined. It is found that the directed flow depends strongly on the optical potential at high energies,$\sqrt{s_{NN}} > 3 $ GeV, where no information is available experimentally. The correlation between effective mass at saturation density and the optical potential is found: smaller values of effective mass require smaller strengths of the optical potential to describe the directed flow data.This correlation can also be seen in the beam energy dependence of the elliptic flow at $\sqrt{s_{NN}}>3$ GeV, although its effect is rather weak. On the other hand, stiff EoS is required to describe the elliptic flow at lower energies.Experimental constraints on the optical potential from $pA$ collisions will provide important information on the EoS at high energies.The proton directed and the elliptic flow are well described in the RQMD.RMF model from $\sqrt{s_{NN}}=2.3$ to 8.8 GeV. In contrast,to reproduce the collapse of the directed flow above 10 GeV, pressure has to be reduced, which indicates a softening of the EoS around $\sqrt{s_{NN}} =10 $ GeV.

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