RELATIVISTIC EQUATION OF STATE FOR CORE-COLLAPSE SUPERNOVA SIMULATIONS

By Hong Shen, Hiroshi Toki, K. Oyamatsu, K. Sumiyoshi. 2011

188 citations recorded by the source corpus.

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), 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 = 0.1–102.6 MeV 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 ρB = 105.1–1016 g cm−3 with the logarithmic grid spacing Δlog10(ρB/[g cm−3]) = 0.1 (110 points).

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d0b2afc812bc03e1961f5a7a06cef6721c45983d

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Citations in the corpus

NEW EQUATIONS OF STATE IN SIMULATIONS OF CORE-COLLAPSE SUPERNOVAE (2011, methodology): “Furthermore also an update of the original STOS EOS table appeared which has improved resolution, accuracy and grid-spacing (H. Shen et al. (2011)).”
THE LANDSCAPE OF THE NEUTRINO MECHANISM OF CORE-COLLAPSE SUPERNOVAE: NEUTRON STAR AND BLACK HOLE MASS FUNCTIONS, EXPLOSION ENERGIES, AND NICKEL YIELDS (2014, methodology): “We used the Lattimer & Swesty (1991) EOS with incompressibilities of 180, 220, and 375MeV (herafter abbreviated as LS180, LS220, and LS375), and the Shen et al. (2011) EOS (hereafter abbreviated as HShen).”
Nuclear equation of state for core-collapse supernova simulations with realistic nuclear forces (2017, methodology): “Mixing of alpha particles is also taken into account following the procedure used by Shen et al. (1998, 2011).”
NEW HYPERON EQUATIONS OF STATE FOR SUPERNOVAE AND NEUTRON STARS IN DENSITY-DEPENDENT HADRON FIELD THEORY (2014, methodology): “Several EoS including quark and hyperon matter were developed for and applied to su- pernova simulations (Ishizuka et al. 2008; Nakazato et al. 2008; Sagert et al. 2009; Sumiyoshi et al. 2009; Shen et al. 2011c; Nakazato et al. 2012; Oertel et al. 2012; Peres et al. 2013; Banik 2014).”
New Neutron Star Equation of State with Quark–Hadron Crossover (2019, methodology): “In the neutron star crust, Togashi et al. assume a single species of heavy spherical nuclei forming a BCC lattice surrounded by a gas of nucleons (Shen et al. (2011), Oyamatsu (1993)), and construct the equation of state by the Thomas-Fermi method.”