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arXiv 2311.03025nucl-thastro-ph.HE
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基于介质内有效场的有限温度核子模型

Nucleonic models at finite temperature with in-medium effective fields

Odilon Lourenço, Mariana Dutra, Jérôme Margueron

备注：
11 pages, 4 figures. Version accepted for publication in PRC
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AI总结：

本研究基于介质内有效场与费米积分解析近似，构建了普适的有限温度致密核物质计算框架，可应用于多种核模型，并定量验证了费米积分解析近似的精度。

摘要：

我们开展了致密高温核物质的计算，其中核子间的平均相互作用由介质内有效场描述，且我们采用了费米积分的解析近似方法。我们推广了此前一项研究的工作，该研究探讨了含介质内有效质量的费米气体模型的情况。在本工作中，我们通过同时考虑介质内相互作用对介质内有效场（在某些情况下可归入质量项）和势能项的贡献，完整处理了介质内相互作用。我们的理论形式具有普适性，可应用于相对论和非相对论方法。我们在多种常用模型——Skyrme模型、非线性相对论平均场模型、密度相关相对论平均场模型——以及元模型（metamodel）上对其进行了验证，该形式清晰揭示了压强的介质内修正效应：这种修正存在于Skyrme模型和元模型中，但在相对论模型中不存在。对于费米积分，我们将解析近似与所谓的“精确”数值计算进行了对比，以定量评估该近似方法的精度。

英文摘要：

We perform a calculation of dense and hot nuclear matter where the mean interaction between nucleons is described by in-medium effective fields and where we employ analytical approximations of the Fermi integrals. We generalize a previous work where we have addressed the case of the Fermi gas model with in-medium effective mass. In the present work, we fully treat the in-medium interaction by considering both its contribution to the in-medium effective fields, which can be subsumed by the mass in some cases, and to the potential term. Our formalism is general and could be applied to relativistic and nonrelativistic approaches. It is illustrated for different popular models -- Skyrme, nonlinear, and density-dependent relativistic mean-field models --, but also for the metamodel, and it provides a clear understanding of the in-medium correction to the pressure, which is present in the case of the Skyrme and metamodel but is not for the relativistic ones. For the Fermi integrals, we compare the analytical approximation to the, so-called, ``exact'' numerical calculations in order to quantitatively estimate the accuracy of the approximation.

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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