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.

我们在具有中子滴漏功能的中子滴上下的Wigner-Seitz单元中执行扩展的Thomas-Fermi计算。将得到的能量密度分解为体积项和表面项的总和，并使用可压缩的液滴分析公式来拟合表面张力。详细研究了曲率项和中子蒙皮的影响。使用仅取决于团簇的质量和电荷的表达式可以很好地再现微观数据，这表明在存在外部中子气体的情况下，可以有效地解释存在外部中子气体时核能的介质内修饰。表面张力的等旋旋依赖性。在第一个应用中，旨在建立拟合协议，我们专注于Sly4能量功能，