dorsal/arxiv
View SchemaThe fermion dynamical symmetry model for the even--even and even--odd nuclei in the Xe--Ba region
| Authors | X. W. Pan, J. L. Ping, D. H. Feng, C. L. Wu, M. K. Guidry |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9510016 |
| URL | https://arxiv.org/abs/nucl-th/9510016 |
| DOI | 10.1103/PhysRevC.53.715 |
| Journal | Phys.Rev.C53:715-729,1996 |
Abstract
The even--even and even--odd nuclei $^{126}$Xe-$^{132}$Xe and $^{131}$Ba-$^{137}$Ba are shown to have a well-realized $SO_8 \supset SO_6 \supset SO_3$ fermion dynamical symmetry. Their low-lying energy levels can be described by a unified analytical expression with two (three) adjustable parameters for even--odd (even--even) nuclei that is derived from the fermion dynamical symmetry model. Analytical expressions are given for wavefunctions and for $E2$ transition rates that agree well with data. The distinction between the FDSM and IBM $SO_6$ limits is discussed. The experimentally observed suppression of the the energy levels with increasing $SO_5$ quantum number $\tau$ can be explained as a perturbation of the pairing interaction on the $SO_6$ symmetry, which leads to an $SO_5$ Pairing effect for $SO_6$ nuclei.
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"abstract": "The even--even and even--odd nuclei $^{126}$Xe-$^{132}$Xe and\n$^{131}$Ba-$^{137}$Ba are shown to have a well-realized $SO_8 \\supset SO_6\n\\supset SO_3$ fermion dynamical symmetry. Their low-lying energy levels can be\ndescribed by a unified analytical expression with two (three) adjustable\nparameters for even--odd (even--even) nuclei that is derived from the fermion\ndynamical symmetry model. Analytical expressions are given for wavefunctions\nand for $E2$ transition rates that agree well with data. The distinction\nbetween the FDSM and IBM $SO_6$ limits is discussed. The experimentally\nobserved suppression of the the energy levels with increasing $SO_5$ quantum\nnumber $\\tau$ can be explained as a perturbation of the pairing interaction on\nthe $SO_6$ symmetry, which leads to an $SO_5$ Pairing effect for $SO_6$ nuclei.",
"arxiv_id": "nucl-th/9510016",
"authors": [
"X. W. Pan",
"J. L. Ping",
"D. H. Feng",
"C. L. Wu",
"M. K. Guidry"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.53.715",
"journal_ref": "Phys.Rev.C53:715-729,1996",
"title": "The fermion dynamical symmetry model for the even--even and even--odd nuclei in the Xe--Ba region",
"url": "https://arxiv.org/abs/nucl-th/9510016"
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