dorsal/arxiv
View SchemaBeyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
| Authors | T. Niksic, D. Vretenar, P. Ring |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0611022 |
| URL | https://arxiv.org/abs/nucl-th/0611022 |
| DOI | 10.1103/PhysRevC.74.064309 |
| Journal | Phys.Rev.C74:064309,2006 |
Abstract
The framework of relativistic self-consistent mean-field models is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform configuration mixing of angular-momentum and particle-number projected relativistic wave functions. The geometry is restricted to axially symmetric shapes, and the intrinsic wave functions are generated from the solutions of the relativistic mean-field + Lipkin-Nogami BCS equations, with a constraint on the mass quadrupole moment. The model employs a relativistic point-coupling (contact) nucleon-nucleon effective interaction in the particle-hole channel, and a density-independent $\delta$-interaction in the pairing channel. Illustrative calculations are performed for $^{24}$Mg, $^{32}$S and $^{36}$Ar, and compared with results obtained employing the model developed in the first part of this work, i.e. without particle-number projection, as well as with the corresponding non-relativistic models based on Skyrme and Gogny effective interactions.
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"abstract": "The framework of relativistic self-consistent mean-field models is extended\nto include correlations related to the restoration of broken symmetries and to\nfluctuations of collective variables. The generator coordinate method is used\nto perform configuration mixing of angular-momentum and particle-number\nprojected relativistic wave functions. The geometry is restricted to axially\nsymmetric shapes, and the intrinsic wave functions are generated from the\nsolutions of the relativistic mean-field + Lipkin-Nogami BCS equations, with a\nconstraint on the mass quadrupole moment. The model employs a relativistic\npoint-coupling (contact) nucleon-nucleon effective interaction in the\nparticle-hole channel, and a density-independent $\\delta$-interaction in the\npairing channel. Illustrative calculations are performed for $^{24}$Mg,\n$^{32}$S and $^{36}$Ar, and compared with results obtained employing the model\ndeveloped in the first part of this work, i.e. without particle-number\nprojection, as well as with the corresponding non-relativistic models based on\nSkyrme and Gogny effective interactions.",
"arxiv_id": "nucl-th/0611022",
"authors": [
"T. Niksic",
"D. Vretenar",
"P. Ring"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.064309",
"journal_ref": "Phys.Rev.C74:064309,2006",
"title": "Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number",
"url": "https://arxiv.org/abs/nucl-th/0611022"
},
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