论文标题
ETF近似中表面能的参数化
Parametrization of the surface energy in the ETF approximation
论文作者
论文摘要
我们在中子滴水的Wigner-Seitz单元中执行扩展的Thomas-Fermi计算，并具有逼真的功能。将所得的能量密度分解为批量项和表面项的总和，并使用可压缩的液态滴分析公式来适应表面张力。详细研究了曲率术语和中子皮肤的影响。使用仅取决于簇的质量和电荷的表达获得了微观数据的很好的繁殖，这表明在存在外部中子气体的情况下，核能的中等内部修饰可以在表面张力的同胞素依赖性中有效地解释。在旨在建立拟合协议的第一个应用中，我们专注于SLY4 Energy功能，但是可以很容易地将研究推广到不同的功能，并且可以将所得的参数化用于中子星形壳和超新星的直接应用。
We perform extended Thomas-Fermi calculations in the Wigner-Seitz cell below and above neutron drip with realistic functionals. The resulting energy density is decomposed as a sum of bulk terms and a surface term, and a compressible liquid drop analytical formula is used to fit the surface tension. The effect of curvature terms and neutron skin is studied in detail. A very good reproduction of the microscopic data is obtained using an expression that depends only on the mass and charge of the cluster, showing that the in-medium modifications of the nuclear energy in the presence of an external neutron gas can be effectively accounted for in the isospin dependence of the surface tension. In this first application, aimed at establishing the fitting protocol, we concentrate on the Sly4 energy functional, but the study can be easily generalized to different functionals, and the resulting parametrizations can be used for direct applications in pasta calculations in neutron star crusts and supernova matter.
