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arXiv 1102.2044hep-ph
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QCD临界点位置与重子尺寸的关系

Baryon-Size Dependent Location of QCD Critical Point

P. K. Srivastava, S. K. Tiwari, C. P. Singh

摘要:

关于QCD相界上临界终点(CEP)存在的物理机制仍然不清楚,其精确位置也很不确定。本文提出,在描述热密强子气(HG)时所用的重子的硬核尺寸对CEP的存在起着决定性的作用。在这里,我们构造了一个退凝相变吉布斯平衡条件后,准粒子状态方程(EOS)的QCD等离子体和排除体积状态方程的HG。我们发现,只有当我们指定一个硬核大小的每个重子在HG的描述和相位边界,从而得到终止于CEP超过交叉区发生的一级跃迁的结果。HG的平均场方法支持这一发现,除非我们在方法中包括排除体积效应,CEP不会在QCD边界上实现。这一研究为CEP的起源和QCD相界上的交叉跃迁提供了一个直观的推论。

英文摘要:

The physics regarding the existence of the critical end point (CEP) on the QCD phase boundary still remains unclear and its precise location is quite uncertain. In this paper we propose that the hard-core size of the baryons used in the description of the hot and dense hadron gas (HG) plays a decisive role in the existence of CEP. Here we construct a deconfining phase transition using Gibbs' equilibrium conditions after using a quasiparticle equation of state (EOS) for QCD plasma and excluded-volume EOS for the HG. We find that the first order transition results only when we assign a hard-core size to each baryon in the description of HG and the phase boundary thus obtained terminates at CEP beyond which a cross-over region occurs. The mean field approach for the HG lends support to this finding where unless we include an excluded-volume effect in the approach, CEP does not materialize on the QCD boundary. This investigation provides an intuitive reasoning regarding the origin of CEP and the cross-over transition on the QCD phase boundary.

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