dorsal/arxiv
View SchemaRPA approach to rotational symmetry restoration in a three-level Lipkin model
| Authors | K. Hagino, G. F. Bertsch |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9909023 |
| URL | https://arxiv.org/abs/nucl-th/9909023 |
| DOI | 10.1103/PhysRevC.61.024307 |
| Journal | Phys.Rev. C61 (2000) 024307 |
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.
{
"annotation_id": "d8874a91-bd5c-4eb0-b5dc-b76a015b41a8",
"date_created": "2026-03-02T18:00:25.886000Z",
"date_modified": "2026-03-02T18:00:25.886000Z",
"file_hash": "14ede9f4e01bf62e13a1a29cf8cd4c9ced6629d4fa9b30e01baedefb9b634cda",
"private": false,
"record": {
"abstract": "We study an extended Lipkin-Meshkov-Glick model that permits a transition to\na deformed phase with a broken continuous symmetry. Unlike simpler models, one\nsees a persistent zero-frequency Goldstone mode past the transition point into\nthe deformed phase. We found that the RPA formula for the correlation energy\nprovides a useful correction to the Hartree-Fock energy when the number of\nparticle N satisfies N \u003e 3, and becomes accurate for large N. We conclude that\nthe RPA correlation energy formula offers a promising way to improve the\nHartree-Fock energy in a systematic theory of nuclear binding energies.",
"arxiv_id": "nucl-th/9909023",
"authors": [
"K. Hagino",
"G. F. Bertsch"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.61.024307",
"journal_ref": "Phys.Rev. C61 (2000) 024307",
"title": "RPA approach to rotational symmetry restoration in a three-level Lipkin model",
"url": "https://arxiv.org/abs/nucl-th/9909023"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1b708ec0-862a-4266-a779-e7dccc69e088",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}