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arXiv 2302.12010hep-phnucl-th
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Polyakov-Nambu-Jona-Lasinio模型中非广延效应对QCD手征相图和重子数涨落的影响

Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within Polyakov-Nambu-Jona-Lasinio model

Ya-Peng Zhao, Chao-Yong Wang, Shu-Yu Zuo, Cheng-Ming Li

AI总结:

本文在非广延统计力学框架下构建PNJL模型,研究非广延参数q对QCD手征相图中临界端点位置和净重子数涨落矩的影响,发现CEP随q增大呈非单调移动,且q=1.07时结果与实验数据总体一致。

摘要:

本文提出了一个基于非广延统计力学的Polyakov-Nambu-Jona-Lasinio(PNJL)模型版本。这种新的统计方法将所有可能违反Boltzmann-Gibbs(BG)统计假设的因素归结为一个无量纲的非广延参数$q$,当$q$趋于1时,它回到BG情形。在非广延PNJL模型中,我们发现随着$q$增大,临界端点(CEP)的位置表现出非单调行为。即当$q<1.15$时,CEP向更低温度和更大夸克化学势的方向移动;但当$q>1.15$时,CEP转向更低温度和更低夸克化学势的方向移动。此外,我们研究了净重子数分布的矩,即方差($σ^{2}$)、偏度(S)和峰度($κ$)。当$q$取为1.07时,我们的结果总体上与最新实验数据一致,尤其是对于$\sqrt{S_{NN}}>19.6\\ \mathrm{GeV}$的情况。

英文摘要:

In this paper, a version of the Polyakov-Nambu-Jona-Lasinio (PNJL) model based on nonextensive statistical mechanics is presented. This new statistics summarizes all possible factors that violate the assumptions of the Boltzmann-Gibbs (BG) statistics to a dimensionless nonextensivity parameter $q$, and when $q$ tends to 1, it returns to the BG case. Within the nonextensive PNJL model, we found that as $q$ increases, the location of the critical end point (CEP) exhibits non-monotonic behavior. That is, for $q<1.15$, CEP moves in the direction of lower temperature and larger quark chemical potential. But for $q>1.15$, CEP turns to move in the direction of lower temperature and lower quark chemical potential. In addition, we studied the moments of the net-baryon number distribution, that is, the variance ($σ^{2}$), skewness (S), and kurtosis ($κ$). Our results are generally consistent with the latest experimental data, especially for $\sqrt{S_{NN}}>19.6\ \mathrm{GeV}$, when $q$ is set to $1.07$.

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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