We present sets of equation of state (EOS) of nuclear matter including hyperons using an SU_f(3) extended relativistic mean field (RMF) model with a wide coverage of density, temperature, and charge fraction for numerical simulations of core collapse supernovae. Coupling constants of Sigma and Xi hyperons with the sigma meson are determined to fit the hyperon potential depths in nuclear matter, U_Sigma(rho_0) ~ +30 MeV and U_Xi(rho_0) ~ -15 MeV, which are suggested from recent analyses of hyperon production reactions. At low densities, the EOS of uniform matter is connected with the EOS by Shen et al., in which formation of finite nuclei is included in the Thomas-Fermi approximation. In the present EOS, the maximum mass of neutron stars decreases from 2.17 M_sun (Ne mu) to 1.63 M_sun (NYe mu) when hyperons are included. In a spherical, adiabatic collapse of a 15$M_\odot$ star by the hydrodynamics without neutrino transfer, hyperon effects are found to be small, since the temperature and density do not reach the region of hyperon mixture, where the hyperon fraction is above 1 % (T > 40 MeV or rho_B > 0.4 fm^{-3}).
Finite-temperature equation of state with hyperons
我们提出了一个新的有限温度FSU 2 H $^*$状态方程模型,它涵盖了原中子星、中子星合并和超新星的各种温度和轻子分数。当考虑超子自由度时,温度对中子星核的物理观测值和成分的影响更强。我们特别注意的温度和密度的依赖性的热指数在超子的存在下,并得出结论,真正的热效应不能再现与使用一个恒定的$Γ$法律。
New Hyperon Equations of State for Supernovae and Neutron Stars in Density-dependent Hadron Field Theory
我们开发了新的超子状态方程(EoS)表的核心坍缩超新星模拟和中子星。这些EoS表是基于密度相关的相对论性强子场论,其中重子-重子相互作用由介子介导,使用Typel等人(2010)的核子参数集DD 2。此外,轻和重核以及相互作用的核子被处理在Hempel和Schaffner-Bielich的核统计平衡模型,其中包括排除体积效应。在所有可能的超子中,我们只考虑了$Λ$的贡献。我们发展了两种不同的超声波EoS表:在np $Λϕ$情况下,考虑了奇异$ϕ$介子介导的排斥超子-超子相互作用;在np $Λ$情况下,不考虑。这两种情况的EoS表包括广泛的密度($10^{-12}$至$\sim$ 1 fm $^{-3}$)、温度(0.1至158.48 MeV)和质子分数(0.01至0.60)。研究了$Λ$超子对每个重子的自由能、压力或熵等热力学量的影响,发现在高密度下超子的影响是显著的。冷的$β$平衡的EoS(包括自洽的地壳)导致np $Λϕ$的最大质量中子星为2.1 M $_{\odot}$,而np $Λ$的最大质量中子星为1.95 M $_{\odot}$。np $Λϕ$ EoS代表了第一个涉及超子的超新星EoS表,该表与最近测量的2 M $_{\odot}$中子星直接兼容。
New {\em ab initio} constrained extended Skyrme equations of state for simulations of neutron stars, supernovae and binary mergers: I. Subsaturation density domain
Influence of effective mass of the relativistic mean field theory on core collapse supernovae and compact objects
National Institute of Technology, Numazu College(国立大学法人沼津工业高等专门学校);Department of Physics, Kyoto University(京都大学);College of Science and Engineering, Kanto Gakuin University(关东学院大学理工学部);School of Physics, Nankai University(南开大学物理科学学院);Faculty of Arts and Science, Kyushu University(九州大学艺工学部);Faculty of Science & Technology, Tokyo University of Science(东京理科大学理学部·工学部)