### 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 language | English |
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Article number | 012058 |

Journal | Journal of Physics: Conference Series |

Volume | 569 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2014 Jan 1 |

Event | 3rd International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2014 - Yokohama, Japan Duration: 2014 May 26 → 2014 May 30 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of Physics: Conference Series*,

*569*(1), [012058]. https://doi.org/10.1088/1742-6596/569/1/012058