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arXiv 1807.01729nucl-thastro-ph.HE
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高阶经验参数对核物质状态方程的影响

On the effect of high order empirical parameters on the nuclear equation of state

J. Margueron, F. Gulminelli

发表信息：
Phys. Rev. C 99, 025806 (2019)
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摘要：

对核物质状态方程（EoS）的定量认识需要准确估计EoS参数的不确定性及其相互关系。这种相关性是经验上观察到在一个大的一套EoS模型由不同的作者，但他们并不总是完全理解。我们发现，这些相关性中的一些可以解释从一个简单的泰勒展开的结合能周围的饱和密度施加的基本物理约束。特别地，我们研究了以下经验参数之间的相关性：对称能$E_{sym}$，对称能$L_{sym}$和$K_{sym}$的斜率和曲率，以及对称物质$K_{sat}$和$Q_{sat}$中结合能的曲率和偏斜度。这些相关性的不确定性是通过分析模型以及受物理限制的EoS元模型分析来估计的。我们发现低阶经验参数之间的相关性的巨大分散是由未知的高阶经验参数，如$K_{sym}$（二阶）和$Q_{sat}$和$Q_{sym}$（三阶）。我们还提出了一个解释为什么$Q_{sat}$是弱约束目前的实验数据。我们的结论是，选择观测序参量，如$K_{sym}$和$Q_{sat}$，应更好地确定之前，目前的不确定性的EoS可以进一步减少。

英文摘要：

A quantitative knowledge of the nuclear Equation of State (EoS) requires an accurate estimation of the uncertainties on the EoS parameters and their mutual correlations. Such correlations are empirically observed in a large set of EoS models by different authors, but they are not always fully understood. We show that some of these correlations can be interpreted from basic physical constraints imposed on a simple Taylor expansion of the binding energy around saturation density. In particular, we investigate the correlations among the following empirical parameters: the symmetry energy $E_{sym}$, the slope and curvature of the symmetry energy $L_{sym}$ and $K_{sym}$, and the curvature and skewness of the binding energy in symmetric matter $K_{sat}$ and $Q_{sat}$. The uncertainties on these correlations is estimated through analytical modelling as well as a meta-modelling analysis of the EoS subject to physical constraints. We show that a huge dispersion of the correlations among low order empirical parameters is induced by the unknown higher order empirical parameters, such as $K_{sym}$ (second order) and $Q_{sat}$ and $Q_{sym}$ (third order). We also propose an explanation of the reason why $Q_{sat}$ is weakly constrained by present experimental data. We conclude that selective observables on high order parameters, such as $K_{sym}$ and $Q_{sat}$, should be better determined before the present uncertainties on the EoS can be further reduced.

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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