dorsal/arxiv
View SchemaBoson mappings and four-particle correlations in algebraic neutron-proton pairing models
| Authors | J. Dobes, S. Pittel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9710053 |
| URL | https://arxiv.org/abs/nucl-th/9710053 |
| DOI | 10.1103/PhysRevC.57.688 |
| Journal | Phys.Rev.C57:688-703,1998 |
Abstract
Neutron-proton pairing correlations are studied within the context of two solvable models, one based on the algebra SO(5) and the other on the algebra SO(8). Boson-mapping techniques are applied to these models and shown to provide a convenient methodological tool both for solving such problems and for gaining useful insight into general features of pairing. We first focus on the SO(5) model, which involves generalized T=1 pairing. Neither boson mean-field methods nor fermion-pair approximations are able to describe in detail neutron-proton pairing in this model. The analysis suggests, however, that the boson Hamiltonian obtained from a mapping of the fermion Hamiltonian contains a pairing force between bosons, pointing to the importance of boson-boson (or equivalently four-fermion) correlations with isospin T=0 and spin S=0. These correlations are investigated by carrying out a second boson mapping. Closed forms for the fermion wave functions are given in terms of the fermion-pair operators. Similar techniques are applied -- albeit in less detail -- to the SO(8) model, involving a competition between T=1 and T=0 pairing. Conclusions similar to those of the SO(5) analysis are reached regarding the importance of four-particle correlations in systems involving neutron-proton pairing.
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"abstract": "Neutron-proton pairing correlations are studied within the context of two\nsolvable models, one based on the algebra SO(5) and the other on the algebra\nSO(8). Boson-mapping techniques are applied to these models and shown to\nprovide a convenient methodological tool both for solving such problems and for\ngaining useful insight into general features of pairing. We first focus on the\nSO(5) model, which involves generalized T=1 pairing. Neither boson mean-field\nmethods nor fermion-pair approximations are able to describe in detail\nneutron-proton pairing in this model. The analysis suggests, however, that the\nboson Hamiltonian obtained from a mapping of the fermion Hamiltonian contains a\npairing force between bosons, pointing to the importance of boson-boson (or\nequivalently four-fermion) correlations with isospin T=0 and spin S=0. These\ncorrelations are investigated by carrying out a second boson mapping. Closed\nforms for the fermion wave functions are given in terms of the fermion-pair\noperators. Similar techniques are applied -- albeit in less detail -- to the\nSO(8) model, involving a competition between T=1 and T=0 pairing. Conclusions\nsimilar to those of the SO(5) analysis are reached regarding the importance of\nfour-particle correlations in systems involving neutron-proton pairing.",
"arxiv_id": "nucl-th/9710053",
"authors": [
"J. Dobes",
"S. Pittel"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.57.688",
"journal_ref": "Phys.Rev.C57:688-703,1998",
"title": "Boson mappings and four-particle correlations in algebraic neutron-proton pairing models",
"url": "https://arxiv.org/abs/nucl-th/9710053"
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