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arXiv 2408.04588nucl-th
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$T'$-展开方案的收敛性质:强子共振气体与集团展开模型

Convergence properties of $T'$-Expansion Scheme: Hadron Resonance Gas and Cluster Expansion Model

Micheal Kahangirwe, Irene Gonzalez, Jorge A. Muñoz, Claudia Ratti, Volodymyr Vovchenko

AI总结:

本研究评估了$T'$-展开方案在有效QCD模型中展开强相互作用物质状态方程至有限密度的性能,发现其在手性跨越温度附近及更高温时收敛性优于传统Taylor展开,但不适用于强子相。

摘要:

本研究通过在各种有效QCD模型中比较其与传统Taylor展开方法的性能,评估了近期提出的$T'$-展开方案在将强相互作用物质状态方程展开至有限密度时的有效性与稳健性。我们使用重子数密度及其磁化率来计算带有和不带有Stefan-Boltzmann极限修正的$T'$-展开方案中的展开系数。我们的方法涉及将截断阶数与精确解进行比较,以评估该方案的准确性。我们在低温下利用Hadron Resonance Gas (HRG) 模型的理想、排除体积和van der Waals表述,并在高温下利用Cluster Expansion Model。研究结果表明,$T'$-展开方案在手性跨越温度附近及高于该温度处提供了优越的收敛性质,在此处手性临界启发的标度$(\partial/ \partial T)_{μ_B} \sim (\partial^2/\partial μ_B^2)_T$成立。然而,它在HRG模型中显示出有限的改进,表明它可能不是描述强子相的最合适选择。

英文摘要:

In this study, we assess the effectiveness and robustness of the recently proposed $T'$-expansion scheme for expanding the equation of state of strongly interacting matter to finite density, by comparing its performance relative to the conventional Taylor expansion method in various effective QCD models. We use baryon number density and its susceptibilities to calculate the expansion coefficients in the $T'$-expansion scheme with and without the Stefan-Boltzmann limit correction. Our methodology involves comparing truncation orders to exact solutions to assess the scheme's accuracy. We utilize Ideal, Excluded Volume, and van der Waals formulations of the Hadron Resonance Gas (HRG) model at low temperatures, and the Cluster Expansion Model at higher temperatures. Our findings indicate that the $T'$-expansion scheme offers superior convergence properties near and above the chiral crossover temperature, where the chiral-criticality-inspired scaling $(\partial/ \partial T)_{μ_B} \sim (\partial^2/\partial μ_B^2)_T$ holds. However, it shows limited improvement in the HRG models, indicating that it may not be the most suitable choice for describing the hadronic phase.

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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