Fermion dynamical symmetry model for the even-even and even-odd nuclei in the Xe-Ba region
- Department of Physics, Drexel University, Philadelphia, Pennsylvania 19104 (United States)
The even-even and even-odd nuclei {sup 126}Xe{endash}{sup 132}Xe and {sup 131}Ba{endash}{sup 137}Ba are shown to have a well-realized SO{sub 8}{improper_superset}SO{sub 6}{improper_superset}SO{sub 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 by using the vector and spinor representations of the fermion model. Analytical expressions are given for wave functions and for {ital E}2 transition rates that agree well with data. The distinction between the fermion dynamical symmetry model (FDSM) and the interacting boson model (IBM) SO{sub 6} limits is discussed. The experimentally observed suppression of the energy levels with increasing SO{sub 5} quantum number {tau} can be explained as a perturbation of the pairing interaction on the SO{sub 6} symmetry, which leads to an SO{sub 5} pairing effect for SO{sub 6} nuclei. {copyright} {ital 1996 The American Physical Society.}
- Research Organization:
- Oak Ridge National Laboratory
- DOE Contract Number:
- AC05-84OR21400; FG05-88ER40461; FG05-93ER40770
- OSTI ID:
- 283404
- Journal Information:
- Physical Review, C, Journal Name: Physical Review, C Journal Issue: 2 Vol. 53; ISSN PRVCAN; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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