dorsal/arxiv
View SchemaSU(3) quasi-dynamical symmetry as an organizational mechanism for generating nuclear rotational motions
| Authors | C. Bahri, D. J. Rowe |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9906039 |
| URL | https://arxiv.org/abs/nucl-th/9906039 |
| DOI | 10.1016/S0375-9474(99)00394-2 |
| Journal | Nucl.Phys. A662 (2000) 125-147 |
Abstract
The phenomenological symplectic model with a Davidson potential is used to construct rotational states for a rare-earth nucleus with microscopic wave functions. The energy levels and E2 transitions obatined are in remarkably close agreement (to within a few percent) with those of the rotor model with vibrational shape fluctuations that are adiabatically decoupled from the rotational degrees of freedom. An analysis of the states in terms of their SU(3) content shows that SU(3) is a very poor dynamical symmetry but an excellent quasi-dynamical symmetry for the model. It is argued that such quasi-dynamical symmetry can be expected for any Hamiltonian that reproduces the observed low-energy properties of a well-deformed nucleus, whenever the latter are well-described by the nuclear rotor model.
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"abstract": "The phenomenological symplectic model with a Davidson potential is used to\nconstruct rotational states for a rare-earth nucleus with microscopic wave\nfunctions. The energy levels and E2 transitions obatined are in remarkably\nclose agreement (to within a few percent) with those of the rotor model with\nvibrational shape fluctuations that are adiabatically decoupled from the\nrotational degrees of freedom. An analysis of the states in terms of their\nSU(3) content shows that SU(3) is a very poor dynamical symmetry but an\nexcellent quasi-dynamical symmetry for the model. It is argued that such\nquasi-dynamical symmetry can be expected for any Hamiltonian that reproduces\nthe observed low-energy properties of a well-deformed nucleus, whenever the\nlatter are well-described by the nuclear rotor model.",
"arxiv_id": "nucl-th/9906039",
"authors": [
"C. Bahri",
"D. J. Rowe"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00394-2",
"journal_ref": "Nucl.Phys. A662 (2000) 125-147",
"title": "SU(3) quasi-dynamical symmetry as an organizational mechanism for generating nuclear rotational motions",
"url": "https://arxiv.org/abs/nucl-th/9906039"
},
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