dorsal/arxiv
View SchemaExactly-solvable models of proton and neutron interacting bosons
| Authors | S. Lerma H., B. Errea, J. Dukelsky, S. Pittel, P. Van Isacker |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605011 |
| URL | https://arxiv.org/abs/nucl-th/0605011 |
| DOI | 10.1103/PhysRevC.74.024314 |
| Journal | Phys.Rev.C74:024314,2006 |
Abstract
We describe a class of exactly-solvable models of interacting bosons based on the algebra SO(3,2). Each copy of the algebra represents a system of neutron and proton bosons in a given bosonic level interacting via a pairing interaction. The model that includes s and d bosons is a specific realization of the IBM2, restricted to the transition regime between vibrational and gamma-soft nuclei. By including additional copies of the algebra, we can generate proton-neutron boson models involving other boson degrees of freedom, while still maintaining exact solvability. In each of these models, we can study not only the states of maximal symmetry, but also those of mixed symmetry, albeit still in the vibrational to gamma-soft transition regime. Furthermore, in each of these models we can study some features of F-spin symmetry breaking. We report systematic calculations as a function of the pairing strength for models based on s, d, and g bosons and on s, d, and f bosons. The formalism of exactly-solvable models based on the SO(3,2) algebra is not limited to systems of proton and neutron bosons, however, but can also be applied to other scenarios that involve two species of interacting bosons.
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"abstract": "We describe a class of exactly-solvable models of interacting bosons based on\nthe algebra SO(3,2). Each copy of the algebra represents a system of neutron\nand proton bosons in a given bosonic level interacting via a pairing\ninteraction. The model that includes s and d bosons is a specific realization\nof the IBM2, restricted to the transition regime between vibrational and\ngamma-soft nuclei. By including additional copies of the algebra, we can\ngenerate proton-neutron boson models involving other boson degrees of freedom,\nwhile still maintaining exact solvability. In each of these models, we can\nstudy not only the states of maximal symmetry, but also those of mixed\nsymmetry, albeit still in the vibrational to gamma-soft transition regime.\nFurthermore, in each of these models we can study some features of F-spin\nsymmetry breaking. We report systematic calculations as a function of the\npairing strength for models based on s, d, and g bosons and on s, d, and f\nbosons. The formalism of exactly-solvable models based on the SO(3,2) algebra\nis not limited to systems of proton and neutron bosons, however, but can also\nbe applied to other scenarios that involve two species of interacting bosons.",
"arxiv_id": "nucl-th/0605011",
"authors": [
"S. Lerma H.",
"B. Errea",
"J. Dukelsky",
"S. Pittel",
"P. Van Isacker"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.024314",
"journal_ref": "Phys.Rev.C74:024314,2006",
"title": "Exactly-solvable models of proton and neutron interacting bosons",
"url": "https://arxiv.org/abs/nucl-th/0605011"
},
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