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arXiv 2110.02100hep-phastro-ph.HEhep-latnucl-th
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双色致密QCD中的声速峰:夸克饱和效应和半短程关联

Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations

Toru Kojo, Daiki Suenaga

摘要:

本文讨论了双色QCD(QC $_2$ D)中稠密物质的硬化,其中强子是介子和双夸克重子。我们研究了两个模型,它描述了从低密度的玻色-爱因斯坦凝聚制度在高密度的Bardeen-Cooper-Schrieffer制度的物质过渡。第一个模型是基于双夸克相干态的,第二个模型是带双夸克配对项的Nambu-Jona-Lasinio模型。我们特别关注夸克态如何随着重子密度的增加而被占据。我们发现,由于被占据的夸克能级,双夸克的理想气体图像在密度显著小于重子核重叠处的密度时破裂。夸克态在低动量下的饱和使状态方程变硬。我们还研究了依赖于夸克占据几率的相互作用的影响。我们认为,当夸克费米海的大部分具有有效斥力,而费米面具有吸引关联时,状态方程变得非常僵硬。这种差异对于不同的动量域是可能的,由于强烈的通道依赖于胶子交换与$0.2-1$ GeV的动量转移。这些概念可以从QC $_2$ D转换为QCD,颜色可以任意。

英文摘要:

We discuss stiffening of dense matter in two color QCD (QC$_2$D) where hadrons are mesons and diquark baryons. We study two models which describe a transition of matter from the Bose-Einstein-Condensation regime at low density to the Bardeen-Cooper-Schrieffer regime at high density. The first model is based on coherent states of diquarks, and the second is the Nambu-Jona-Lasinio model with diquark pairing terms. We particularly focus on how quark states are occupied as baryon density increases. We find that, due to the occupied quark levels, the ideal gas picture of diquarks breaks down at density significantly less than the density where baryon cores overlap. The saturation of quark states at low momenta stiffens equations of state. We also study the effects of interactions which depend on the quark occupation probability. We argue that equations of state become very stiff when the bulk part of the quark Fermi sea has the effective repulsion but the Fermi surface enjoys the attractive correlations. This disparity for different momentum domains is possible due to the strong channel dependence in gluon exchanges with momentum transfer of $0.2-1$ GeV. These concepts can be transferred from QC$_2$D to QCD in any numbers of colors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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