Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1995-10-08
Phys.Rev.C53:715-729,1996
Physics
Nuclear Physics
Nuclear Theory
submitted to Phys. Rev. C, LaTeX, 31 pages, 8 figures with postscript files available on request at pan@einstein.physics.drexe
Scientific paper
10.1103/PhysRevC.53.715
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.
Feng Da Hsuan
Guidry M. K.
Pan Xing-Wang
Ping J. L.
Wu Ching-Long
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