TY - JOUR

T1 - Equation of state for nuclear matter in core-collapse supernovae by the variational method

AU - Togashi, H.

AU - Takehara, Y.

AU - Yamamuro, S.

AU - Nakazato, K.

AU - Suzuki, H.

AU - Sumiyoshi, K.

AU - Takano, M.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We construct a new nuclear equation of state (EOS) for core-collapse supernova (SN) simulations using the variational many-body theory. For uniform nuclear matter, the EOS is constructed with the cluster variational method starting from the realistic nuclear Hamiltonian composed of the Argonne v18 two-body potential and the Urbana IX three-body potential. The masses and radii of neutron stars calculated with the obtained EOS at zero temperature are consistent with recent observational data. For non-uniform nuclear matter, we construct the EOS in the Thomas-Fermi approximation. In this approximation, we assume a functional form of the density distributions of protons, neutrons, and alpha-particles, and minimize the free energy density in a Wigner-Seitz cell with respect to the parameters included in the assumed density distribution functions. The phase diagram of hot nuclear matter at a typical temperature is reasonable as compared with that of the Shen EOS.

AB - We construct a new nuclear equation of state (EOS) for core-collapse supernova (SN) simulations using the variational many-body theory. For uniform nuclear matter, the EOS is constructed with the cluster variational method starting from the realistic nuclear Hamiltonian composed of the Argonne v18 two-body potential and the Urbana IX three-body potential. The masses and radii of neutron stars calculated with the obtained EOS at zero temperature are consistent with recent observational data. For non-uniform nuclear matter, we construct the EOS in the Thomas-Fermi approximation. In this approximation, we assume a functional form of the density distributions of protons, neutrons, and alpha-particles, and minimize the free energy density in a Wigner-Seitz cell with respect to the parameters included in the assumed density distribution functions. The phase diagram of hot nuclear matter at a typical temperature is reasonable as compared with that of the Shen EOS.

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U2 - 10.1088/1742-6596/569/1/012058

DO - 10.1088/1742-6596/569/1/012058

M3 - Conference article

AN - SCOPUS:84919460347

VL - 569

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012058

T2 - 3rd International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2014

Y2 - 26 May 2014 through 30 May 2014

ER -