Equation of state for simulations of core-collapse supernovae and neutron-star mergers

We construct a new equation of state (EOS) for numerical simulations of core-collapse supernovae and neutron-star mergers based on an extended relativistic mean-field model with a small symmetry energy slope L, which is compatible with both experimental nuclear data and recent observations of neutron stars. The new EOS table (EOS4) based on the extended TM1 (TM1e) model with L=40 MeV is designed in the same tabular form as the commonly used Shen EOS (EOS2) based on the original TM1 model with L=110.8 MeV. This is convenient and useful for performing numerical simulations and examining the influences of symmetry energy and its density dependence on astrophysical phenomena.我们基于带有小对称能斜率L的扩展相对论平均场模型，构建了一种全新的物态方程（equation of state, EOS），用于核坍缩超新星与中子星并合的数值模拟工作，该模型同时兼容实验核数据与最新的中子星观测结果。本次构建的基于扩展TM1（TM1e）模型（L=40 MeV）的全新物态方程表格（EOS4），采用了与常用的基于原始TM1模型（L=110.8 MeV）的Shen物态方程（EOS2）完全一致的表格格式。这一设计便于开展数值模拟工作，也有助于探究对称能及其密度依赖性对天体物理现象的影响。