### 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 |
---|---|

Article number | 012058 |

Journal | Journal of Physics: Conference Series |

Volume | 569 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2014 |

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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

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

Research output: Contribution to journal › Article

*Journal of Physics: Conference Series*, vol. 569, no. 1, 012058. https://doi.org/10.1088/1742-6596/569/1/012058

}

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, Masatoshi

PY - 2014

Y1 - 2014

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.

UR - http://www.scopus.com/inward/record.url?scp=84919460347&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84919460347&partnerID=8YFLogxK

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

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

M3 - 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

ER -