### Abstract

The approximate energy expression for the variational calculation of nuclear matter is refined by taking into account three-body cluster terms with tensor correlations. In this variational method, the energy expression is constructed as an explicit functional of various two-body distribution functions which are regarded as variational functions. Then, the Euler-Lagrange equations are derived and fully minimized energies are obtained. The previous energy expression does not include the kinetic-energy terms caused by noncentral correlations sufficiently, and the obtained energy of nuclear matter is too low. Therefore, in this study, the energy expression is improved by taking into account important missing three-body-cluster kinetic-energy terms caused by tensor correlations. In this refinement, necessary conditions on tensor structure functions play important roles. The obtained energy per neutron for neutron matter with the v6' potential is considerably higher than that of the old energy expression.

Original language | English |
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Title of host publication | Proceedings of Science |

Publication status | Published - 2008 |

Event | 10th Symposium on Nuclei in the Cosmos, NIC 2008 - Mackinac Island, MI, United States Duration: 2008 Jul 27 → 2008 Aug 1 |

### Other

Other | 10th Symposium on Nuclei in the Cosmos, NIC 2008 |
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Country | United States |

City | Mackinac Island, MI |

Period | 08/7/27 → 08/8/1 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*

**Variational calculations of nuclear matter with approximate energy expression.** / Tanaka, Kazunori; Takano, Masatoshi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of Science.*10th Symposium on Nuclei in the Cosmos, NIC 2008, Mackinac Island, MI, United States, 08/7/27.

}

TY - GEN

T1 - Variational calculations of nuclear matter with approximate energy expression

AU - Tanaka, Kazunori

AU - Takano, Masatoshi

PY - 2008

Y1 - 2008

N2 - The approximate energy expression for the variational calculation of nuclear matter is refined by taking into account three-body cluster terms with tensor correlations. In this variational method, the energy expression is constructed as an explicit functional of various two-body distribution functions which are regarded as variational functions. Then, the Euler-Lagrange equations are derived and fully minimized energies are obtained. The previous energy expression does not include the kinetic-energy terms caused by noncentral correlations sufficiently, and the obtained energy of nuclear matter is too low. Therefore, in this study, the energy expression is improved by taking into account important missing three-body-cluster kinetic-energy terms caused by tensor correlations. In this refinement, necessary conditions on tensor structure functions play important roles. The obtained energy per neutron for neutron matter with the v6' potential is considerably higher than that of the old energy expression.

AB - The approximate energy expression for the variational calculation of nuclear matter is refined by taking into account three-body cluster terms with tensor correlations. In this variational method, the energy expression is constructed as an explicit functional of various two-body distribution functions which are regarded as variational functions. Then, the Euler-Lagrange equations are derived and fully minimized energies are obtained. The previous energy expression does not include the kinetic-energy terms caused by noncentral correlations sufficiently, and the obtained energy of nuclear matter is too low. Therefore, in this study, the energy expression is improved by taking into account important missing three-body-cluster kinetic-energy terms caused by tensor correlations. In this refinement, necessary conditions on tensor structure functions play important roles. The obtained energy per neutron for neutron matter with the v6' potential is considerably higher than that of the old energy expression.

UR - http://www.scopus.com/inward/record.url?scp=84887311196&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887311196&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887311196

BT - Proceedings of Science

ER -