dorsal/arxiv
View SchemaParticle-number conservation within self-consistent random-phase approximation
| Authors | Nguyen Dinh Dang |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411072 |
| URL | https://arxiv.org/abs/nucl-th/0411072 |
| DOI | 10.1103/PhysRevC.71.024302 |
| Journal | Phys.Rev. C71 (2005) 024302 |
Abstract
The self-consistent random-phase approximation (SCRPA) is reexamined within a multilevel-pairing model with double degeneracy. It is shown that the expressions for occupation numbers used in the original version of SCRPA violate the particle number for non-symmetric particle-hole ($ph$) spectra. A renormalization is introduced to restore the particle number, which leads to the expressions of occupation numbers similar to those derived by Hara et al. for the ph case. The results of calculations within the $ph$-symmetric case show that this number-conserving SCRPA yields the energies of the ground state and first excited state of the system with $\Omega+2$ particles relative to the ground state of the system with $\Omega$ particles in close agreement with those obtained within the original SCRPA. However it gives a slightly larger correlation energy.
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"abstract": "The self-consistent random-phase approximation (SCRPA) is reexamined within a\nmultilevel-pairing model with double degeneracy. It is shown that the\nexpressions for occupation numbers used in the original version of SCRPA\nviolate the particle number for non-symmetric particle-hole ($ph$) spectra. A\nrenormalization is introduced to restore the particle number, which leads to\nthe expressions of occupation numbers similar to those derived by Hara et al.\nfor the ph case. The results of calculations within the $ph$-symmetric case\nshow that this number-conserving SCRPA yields the energies of the ground state\nand first excited state of the system with $\\Omega+2$ particles relative to the\nground state of the system with $\\Omega$ particles in close agreement with\nthose obtained within the original SCRPA. However it gives a slightly larger\ncorrelation energy.",
"arxiv_id": "nucl-th/0411072",
"authors": [
"Nguyen Dinh Dang"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.71.024302",
"journal_ref": "Phys.Rev. C71 (2005) 024302",
"title": "Particle-number conservation within self-consistent random-phase approximation",
"url": "https://arxiv.org/abs/nucl-th/0411072"
},
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