### Abstract

An equation of state (EOS) for uniform nuclear matter is constructed at zero and finite temperatures with the variational method starting from the realistic nuclear Hamiltonian composed of the Argonne V18 and UIX potentials. The energy is evaluated in the two-body cluster approximation with the three-body-force contribution treated phenomenologically so as to reproduce the empirical saturation conditions. The obtained energies for symmetric nuclear matter and neutron matter at zero temperature are in fair agreement with those by Akmal, Pandharipande and Ravenhall, and the maximum mass of the neutron star is 2.2 M_{ȯ}. At finite temperatures, a variational method by Schmidt and Pandharipande is employed to evaluate the free energy, which is used to derive various thermodynamic quantities of nuclear matter necessary for supernova simulations. The result of this variational method at finite temperatures is found to be self-consistent.

Original language | English |
---|---|

Pages (from-to) | 232-250 |

Number of pages | 19 |

Journal | Nuclear Physics A |

Volume | 791 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 2007 Jul 1 |

### Fingerprint

### Keywords

- Neutron stars
- Nuclear EOS
- Nuclear matter
- Supernovae
- Variational method

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics A*,

*791*(1-2), 232-250. https://doi.org/10.1016/j.nuclphysa.2007.01.098

**Variational calculation for the equation of state of nuclear matter at finite temperatures.** / Kanzawa, H.; Oyamatsu, K.; Sumiyoshi, K.; Takano, Masatoshi.

Research output: Contribution to journal › Article

*Nuclear Physics A*, vol. 791, no. 1-2, pp. 232-250. https://doi.org/10.1016/j.nuclphysa.2007.01.098

}

TY - JOUR

T1 - Variational calculation for the equation of state of nuclear matter at finite temperatures

AU - Kanzawa, H.

AU - Oyamatsu, K.

AU - Sumiyoshi, K.

AU - Takano, Masatoshi

PY - 2007/7/1

Y1 - 2007/7/1

N2 - An equation of state (EOS) for uniform nuclear matter is constructed at zero and finite temperatures with the variational method starting from the realistic nuclear Hamiltonian composed of the Argonne V18 and UIX potentials. The energy is evaluated in the two-body cluster approximation with the three-body-force contribution treated phenomenologically so as to reproduce the empirical saturation conditions. The obtained energies for symmetric nuclear matter and neutron matter at zero temperature are in fair agreement with those by Akmal, Pandharipande and Ravenhall, and the maximum mass of the neutron star is 2.2 Mȯ. At finite temperatures, a variational method by Schmidt and Pandharipande is employed to evaluate the free energy, which is used to derive various thermodynamic quantities of nuclear matter necessary for supernova simulations. The result of this variational method at finite temperatures is found to be self-consistent.

AB - An equation of state (EOS) for uniform nuclear matter is constructed at zero and finite temperatures with the variational method starting from the realistic nuclear Hamiltonian composed of the Argonne V18 and UIX potentials. The energy is evaluated in the two-body cluster approximation with the three-body-force contribution treated phenomenologically so as to reproduce the empirical saturation conditions. The obtained energies for symmetric nuclear matter and neutron matter at zero temperature are in fair agreement with those by Akmal, Pandharipande and Ravenhall, and the maximum mass of the neutron star is 2.2 Mȯ. At finite temperatures, a variational method by Schmidt and Pandharipande is employed to evaluate the free energy, which is used to derive various thermodynamic quantities of nuclear matter necessary for supernova simulations. The result of this variational method at finite temperatures is found to be self-consistent.

KW - Neutron stars

KW - Nuclear EOS

KW - Nuclear matter

KW - Supernovae

KW - Variational method

UR - http://www.scopus.com/inward/record.url?scp=34250871632&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250871632&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2007.01.098

DO - 10.1016/j.nuclphysa.2007.01.098

M3 - Article

AN - SCOPUS:34250871632

VL - 791

SP - 232

EP - 250

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1-2

ER -