dorsal/arxiv
View SchemaRestoration of the Broken D2-Symmetry in the Mean Field Description of Rotating Nuclei
| Authors | F. Dönau, Jing-ye Zhang, L. L. Riedinger |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9809045 |
| URL | https://arxiv.org/abs/nucl-th/9809045 |
| DOI | 10.1016/S0370-2693(99)00180-X |
| Journal | Phys.Lett. B450 (1999) 313-319 |
Abstract
Signature effects observed in rotational bands are a consequence of an inherent D2-symmetry. This symmetry is naturally broken by the mean field cranking approximation when a tilted (non-principal) axis orientation of the nuclear spin becomes stable. The possible tunneling forth and back between the two symmetry-related minima in the double-humped potential-energy surface appears as a typical bifurcation of the rotational band. We describe this many-body process in which all nucleons participate by diagonalizing the nuclear Hamiltonian within a selected set of tilted and non-tilted cranking quasiparticle states. This microscopic approach is able to restore the broken D2 symmetry and reproduce the quantum fluctuations between symmetry- related HFB states which emerge as splitting of the band energies and in parallel staggering in intraband M1 transitions.
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"abstract": "Signature effects observed in rotational bands are a consequence of an\ninherent D2-symmetry. This symmetry is naturally broken by the mean field\ncranking approximation when a tilted (non-principal) axis orientation of the\nnuclear spin becomes stable. The possible tunneling forth and back between the\ntwo symmetry-related minima in the double-humped potential-energy surface\nappears as a typical bifurcation of the rotational band. We describe this\nmany-body process in which all nucleons participate by diagonalizing the\nnuclear Hamiltonian within a selected set of tilted and non-tilted cranking\nquasiparticle states. This microscopic approach is able to restore the broken\nD2 symmetry and reproduce the quantum fluctuations between symmetry- related\nHFB states which emerge as splitting of the band energies and in parallel\nstaggering in intraband M1 transitions.",
"arxiv_id": "nucl-th/9809045",
"authors": [
"F. D\u00f6nau",
"Jing-ye Zhang",
"L. L. Riedinger"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0370-2693(99)00180-X",
"journal_ref": "Phys.Lett. B450 (1999) 313-319",
"title": "Restoration of the Broken D2-Symmetry in the Mean Field Description of Rotating Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9809045"
},
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