### Abstract

The equation of state (EOS) is calculated for uniform nuclear matter at zero and finite temperatures with the variational method. Making use of uncertainty of the three-body nuclear force, adjustable parameters in the nuclear EOS are tuned so that the Thomas-Fermi calculations for β-stable nuclei with the EOS reproduce the empirical data. The calculated nuclear properties imply that larger symmetry energy of the EOS is preferable to reproduce the empirical β-stability line. The expectation value of the nuclear Hamiltonian caused by the 2π-exchange three-body nuclear force is uncertain and related to the symmetry energy.

Original language | English |
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Pages (from-to) | 2455-2458 |

Number of pages | 4 |

Journal | Modern Physics Letters A |

Volume | 23 |

Issue number | 27-30 |

Publication status | Published - 2008 Sep 30 |

### Keywords

- Nuclear EOS
- Nuclear matter
- Symmetry energy

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Astronomy and Astrophysics
- Physics and Astronomy(all)

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## Cite this

Takano, M., Kanzawa, H., Oyamatsu, K., & Sumiyoshi, K. (2008). Variational calculation for the nuclear equation of state toward supernova explosions.

*Modern Physics Letters A*,*23*(27-30), 2455-2458.