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

H. Togashi, Y. Takehara, S. Yamamuro, Kenichiro Nakazato, H. Suzuki, K. Sumiyoshi, M. Takano

Research output: Contribution to journalConference article

Abstract

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.

Original languageEnglish
Article number012058
JournalJournal of Physics: Conference Series
Volume569
Issue number1
DOIs
Publication statusPublished - Jan 1 2014
Event3rd International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2014 - Yokohama, Japan
Duration: May 26 2014May 30 2014

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supernovae
equations of state
density distribution
approximation
neutron stars
alpha particles
flux density
distribution functions
free energy
phase diagrams
neutrons
radii
temperature
protons
cells
simulation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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Equation of state for nuclear matter in core-collapse supernovae by the variational method. / Togashi, H.; Takehara, Y.; Yamamuro, S.; Nakazato, Kenichiro; Suzuki, H.; Sumiyoshi, K.; Takano, M.

In: Journal of Physics: Conference Series, Vol. 569, No. 1, 012058, 01.01.2014.

Research output: Contribution to journalConference article

Togashi, H. ; Takehara, Y. ; Yamamuro, S. ; Nakazato, Kenichiro ; Suzuki, H. ; Sumiyoshi, K. ; Takano, M. / Equation of state for nuclear matter in core-collapse supernovae by the variational method. In: Journal of Physics: Conference Series. 2014 ; Vol. 569, No. 1.
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