dorsal/arxiv
View SchemaPartial Dynamical SU(3) Symmetry and the Nature of the Lowest K=0 Collective Excitation in Deformed Nuclei
| Authors | A. Leviatan, I. Sinai |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9912071 |
| URL | https://arxiv.org/abs/nucl-th/9912071 |
| DOI | 10.1103/PhysRevC.60.061301 |
| Journal | Phys.Rev. C60 (1999) 061301 |
Abstract
We discuss the implications of partial dynamical SU(3) symmetry (PDS) for the structure of the lowest K=0^{+} (K=0_2) collective excitation in deformed nuclei. We consider an interacting boson model Hamiltonian whose ground and gamma bands have good SU(3) symmetry while the K=0_2 band is mixed. It is shown that the double-phonon components in the K=0_2 wave function arise from SU(3) admixtures which, in turn, can be determined from absolute E2 rates connecting the K=0_2 and ground bands. An explicit expression is derived for these admixtures in terms of the ratio of K=0_2 and gamma bandhead energies. The SU(3) PDS predictions are compared with existing data and with broken-SU(3) calculations for ^{168}Er.
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"abstract": "We discuss the implications of partial dynamical SU(3) symmetry (PDS) for the\nstructure of the lowest K=0^{+} (K=0_2) collective excitation in deformed\nnuclei. We consider an interacting boson model Hamiltonian whose ground and\ngamma bands have good SU(3) symmetry while the K=0_2 band is mixed. It is shown\nthat the double-phonon components in the K=0_2 wave function arise from SU(3)\nadmixtures which, in turn, can be determined from absolute E2 rates connecting\nthe K=0_2 and ground bands. An explicit expression is derived for these\nadmixtures in terms of the ratio of K=0_2 and gamma bandhead energies. The\nSU(3) PDS predictions are compared with existing data and with broken-SU(3)\ncalculations for ^{168}Er.",
"arxiv_id": "nucl-th/9912071",
"authors": [
"A. Leviatan",
"I. Sinai"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.60.061301",
"journal_ref": "Phys.Rev. C60 (1999) 061301",
"title": "Partial Dynamical SU(3) Symmetry and the Nature of the Lowest K=0 Collective Excitation in Deformed Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9912071"
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