dorsal/arxiv
View SchemaSelf Consistent Random Phase Approximation and the restoration of symmetries within the three-level Lipkin model
| Authors | D. S. Delion, P. Schuck, J. Dukelsky |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405002 |
| URL | https://arxiv.org/abs/nucl-th/0405002 |
| DOI | 10.1103/PhysRevC.72.064305 |
| Journal | Phys.Rev. C72 (2005) 064305 |
Abstract
We show that it is possible to restore the symmetry associated with the Goldstone mode within the Self Consistent Random Phase Approximation (SCRPA) applied to the three-level Lipkin model. We determine one and two-body densities as very convergent expansions in terms of the generators of the RPA basis. We show that SCRPA excitations correspond to the heads of some rotational bands in the exact spectrum. It turns out that the SCRPA eigenmodes for N=2 coincide with exact solutions, given by the diagonalisation procedure.
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"abstract": "We show that it is possible to restore the symmetry associated with the\nGoldstone mode within the Self Consistent Random Phase Approximation (SCRPA)\napplied to the three-level Lipkin model. We determine one and two-body\ndensities as very convergent expansions in terms of the generators of the RPA\nbasis. We show that SCRPA excitations correspond to the heads of some\nrotational bands in the exact spectrum. It turns out that the SCRPA eigenmodes\nfor N=2 coincide with exact solutions, given by the diagonalisation procedure.",
"arxiv_id": "nucl-th/0405002",
"authors": [
"D. S. Delion",
"P. Schuck",
"J. Dukelsky"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.064305",
"journal_ref": "Phys.Rev. C72 (2005) 064305",
"title": "Self Consistent Random Phase Approximation and the restoration of symmetries within the three-level Lipkin model",
"url": "https://arxiv.org/abs/nucl-th/0405002"
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