Random-phase approximation approach to rotational symmetry restoration in a three-level Lipkin model

Journal Article · Tue Feb 01 04:00:00 EST 2000 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.61.024307· OSTI ID:20215378

Hagino, K ^[1]; Bertsch, G F ^[1]

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1. Institute for Nuclear Theory, Department of Physics, University of Washington, Seattle, Washington 98195 (United States)

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. (c) 2000 The American Physical Society.

• OSTI ID: 20215378
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 61; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
HARTREE-FOCK METHOD
NUCLEAR THEORY
RANDOM PHASE APPROXIMATION
ROTATIONAL INVARIANCE
SYMMETRY BREAKING
THEORETICAL DATA