dorsal/arxiv
View SchemaA variational approach to approximate particle number projection with effective forces
| Authors | A. Valor, J. L. Egido, L. M. Robledo |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9911029 |
| URL | https://arxiv.org/abs/nucl-th/9911029 |
| DOI | 10.1016/S0375-9474(99)00841-6 |
Abstract
Kamlah's second order method for approximate particle number projection is applied for the first time to variational calculations with effective forces. High spin states of normal and superdeformed nuclei have been calculated with the finite range density dependent Gogny force for several nuclei. Advantages and drawbacks of the Kamlah second order method as compared to the Lipkin-Nogami recipe are thoroughly discussed. We find that the Lipkin-Nogami prescription occasionally may fail to find the right energy minimum in the strong pairing regime and that Kamlah's second order approach, though providing better results than the LN one, may break down in some limiting situations.
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"date_created": "2026-03-02T18:00:29.334000Z",
"date_modified": "2026-03-02T18:00:29.334000Z",
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"abstract": "Kamlah\u0027s second order method for approximate particle number projection is\napplied for the first time to variational calculations with effective forces.\nHigh spin states of normal and superdeformed nuclei have been calculated with\nthe finite range density dependent Gogny force for several nuclei. Advantages\nand drawbacks of the Kamlah second order method as compared to the\nLipkin-Nogami recipe are thoroughly discussed. We find that the Lipkin-Nogami\nprescription occasionally may fail to find the right energy minimum in the\nstrong pairing regime and that Kamlah\u0027s second order approach, though providing\nbetter results than the LN one, may break down in some limiting situations.",
"arxiv_id": "nucl-th/9911029",
"authors": [
"A. Valor",
"J. L. Egido",
"L. M. Robledo"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00841-6",
"title": "A variational approach to approximate particle number projection with effective forces",
"url": "https://arxiv.org/abs/nucl-th/9911029"
},
"schema_id": "dorsal/arxiv",
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