Relativistic EOS for core-collapse SN simulations (Shen+, 2011)

Computer Science

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Models, Supernovae

Scientific paper

We construct the equation of state (EOS) of dense matter covering a wide range of temperature, proton fraction, and density for the use of core-collapse supernova simulations. The study is based on the relativistic mean-field (RMF) theory, which can provide an excellent description of nuclear matter and finite nuclei. The Thomas-Fermi approximation in combination with assumed nucleon distribution functions and a free energy minimization is adopted to describe the non-uniform matter, which is composed of a lattice of heavy nuclei. We treat the uniform matter and non-uniform matter consistently using the same RMF theory. We present two sets of EOS tables, namely EOS2 and EOS3. EOS2 is an update of our earlier work published in 1998 (EOS1; see 1998NuPhA.637..435S and 1998PThPh.100.1013S), where only the nucleon degree of freedom is taken into account. EOS3 includes additional contributions from Λ hyperons. The effect of Λ hyperons on the EOS is negligible in the low-temperature and low-density region, whereas it tends to soften the EOS at high density. In comparison with EOS1, EOS2 and EOS3 have an improved design of ranges and grids, which covers the temperature range T=0.1-102.6MeV with the logarithmic grid spacing δlog10(T/[MeV])=0.04 (92 points including T=0), the proton fraction range Yp=0-0.65 with the linear grid spacing ΔYp=0.01 (66 points), and the density range {rho}B=105.1-1016g/cm3 with the logarithmic grid spacing Δlog10({rho}B/[g/cm3])=0.1 (110 points).
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