RPA approach to rotational symmetry restoration in a three-level Lipkin model

Details RPA approach to rotational symmetry restoration in a three-level Lipkin model RPA approach to rotational symmetry restoration in a three-level Lipkin model

1999-09-10

arxiv.org/abs/nucl-th/9909023v1

Phys.Rev. C61 (2000) 024307

Physics

Nuclear Physics

Nuclear Theory

RevTex, 11 pages, 3 postscript figures

Scientific paper

10.1103/PhysRevC.61.024307

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.

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