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arXiv 0802.2318nucl-th
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核塌缩超新星的超声波物质状态方程表

Tables of Hyperonic Matter Equation of State for Core-Collapse Supernovae

C. Ishizuka, A. Ohnishi, K. Tsubakihara, K. Sumiyoshi, S. Yamada

摘要:

本文采用SU_f(3)扩展的相对论平均场(RMF)模型,给出了包含超子的核物质的物态方程,并对核塌缩超新星进行了数值模拟。本文测定了σ超子和Xi超子与σ介子的耦合常数,以拟合最近对超子产生反应的分析所提出的在核物质中的超子势深度,即U_σ(rho_0)~ +30 MeV和U_Xi(rho_0)~ -15 MeV。在低密度下,均匀物质的物态方程与Shen等人的物态方程相联系,其中有限核的形成包括在费米子-费米近似中。在本物态方程中,当考虑超子时,中子星的最大质量从2.17 Msun(Ne mu)减小到1.63 Msun(NYe mu).在一个15 $M_\odot$星的球形绝热坍缩过程中,由于温度和密度没有达到超子混合区,超子分数大于1%(T > 40 MeV或rho_B > 0.4 fm^{-3}),超子效应很小.

英文摘要:

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}).

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