dorsal/arxiv
View SchemaBroken SU(3) symmetry in deformed even-even nuclei
| Authors | N. Minkov, S. B. Drenska, P. P. Raychev, R. P. Roussev, D. Bonatsos |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9703001 |
| URL | https://arxiv.org/abs/nucl-th/9703001 |
| DOI | 10.1103/PhysRevC.55.2345 |
| Journal | Phys.Rev.C55:2345-2360,1997 |
Abstract
A collective vector-boson model with broken SU(3) symmetry, in which the ground state band and the lowest $\gamma$ band belong to the same irreducible representation but are non-degenerate, is applied to several deformed even-even nuclei. The model description of ground and $\gamma$ bands together with the corresponding B(E2) transition probabilities is investigated within a broad range of SU(3) irreducible representations $(\lambda,\mu)$. The calculations show that the $(\lambda,\mu)$ characteristics of rotational nuclei depend to a great extent on the magnitude of the SU(3) splitting between the ground and $\gamma$ bands. It is found that for weakly split spectra, the ground--$\gamma$ band coupling scheme is realized relevantly within narrow regions of ``favored'' $(\lambda,\mu)$ multiplets, while in the cases of strong splitting a description in which the ground band is situated alone in an irreducible representation is favored. The obtained results are analyzed in terms of the bandmixing interactions. The possibility for a transition between the different collective SU(3) schemes is discussed.
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"abstract": "A collective vector-boson model with broken SU(3) symmetry, in which the\nground state band and the lowest $\\gamma$ band belong to the same irreducible\nrepresentation but are non-degenerate, is applied to several deformed even-even\nnuclei. The model description of ground and $\\gamma$ bands together with the\ncorresponding B(E2) transition probabilities is investigated within a broad\nrange of SU(3) irreducible representations $(\\lambda,\\mu)$. The calculations\nshow that the $(\\lambda,\\mu)$ characteristics of rotational nuclei depend to a\ngreat extent on the magnitude of the SU(3) splitting between the ground and\n$\\gamma$ bands. It is found that for weakly split spectra, the ground--$\\gamma$\nband coupling scheme is realized relevantly within narrow regions of\n``favored\u0027\u0027 $(\\lambda,\\mu)$ multiplets, while in the cases of strong splitting\na description in which the ground band is situated alone in an irreducible\nrepresentation is favored. The obtained results are analyzed in terms of the\nbandmixing interactions. The possibility for a transition between the different\ncollective SU(3) schemes is discussed.",
"arxiv_id": "nucl-th/9703001",
"authors": [
"N. Minkov",
"S. B. Drenska",
"P. P. Raychev",
"R. P. Roussev",
"D. Bonatsos"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.55.2345",
"journal_ref": "Phys.Rev.C55:2345-2360,1997",
"title": "Broken SU(3) symmetry in deformed even-even nuclei",
"url": "https://arxiv.org/abs/nucl-th/9703001"
},
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