Boson mappings and four-particle correlations in algebraic neutron-proton pairing models
| dc.creator | Dobes, J. | |
| dc.creator | Pittel, S. | |
| dc.date | 1997-10-23 | |
| dc.date.accessioned | 2026-07-07T11:36:39Z | |
| dc.date.available | 2026-07-07T11:36:39Z | |
| dc.description | 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. | |
| dc.description | 31 pages, Latex, 3 Postscript figures, uses epsf.sty, submitted to Physical Review C | |
| dc.identifier | https://arxiv.org/abs/nucl-th/9710053 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/9710053 | |
| dc.identifier | Phys.Rev.C57:688-703,1998 | |
| dc.identifier | doi:10.1103/PhysRevC.57.688 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198992 | |
| dc.subject | Nuclear Theory | |
| dc.title | Boson mappings and four-particle correlations in algebraic neutron-proton pairing models | |
| dc.type | text |