### Abstract

We study an extended Lipkin-Meshkov-Glick model that permits a transition to a deformed phase with a broken continuous symmetry. Unlike simpler models, one sees a persistent zero-frequency Goldstone mode past the transition point into the deformed phase. We found that the RPA formula for the correlation energy provides a useful correction to the Hartree-Fock energy when the number of particle N satisfies N > 3, and becomes accurate for large N. We conclude that the RPA correlation energy formula offers a promising way to improve the Hartree-Fock energy in a systematic theory of nuclear binding energies.

Original language | English |
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Article number | 024307 |

Pages (from-to) | 243071-243075 |

Number of pages | 5 |

Journal | Physical Review C - Nuclear Physics |

Volume | 61 |

Issue number | 2 |

Publication status | Published - 2000 Feb |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Hagino, K., & Bertsch, G. F. (2000). Random-phase approximation approach to rotational symmetry restoration in a three-level Lipkin model.

*Physical Review C - Nuclear Physics*,*61*(2), 243071-243075. [024307].