Single-particle nondegeneracy and SU(3) fermion dynamical symmetry

It is shown that the SU(3) symmetry for low-lying states of the fermion dynamical symmetry model is essentially preserved even for highly nondegenerate spherical single-particle energies. The breaking of SU(3) symmetry by single-particle energy terms in heritage-0 configurations for either normal de...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 1995-03, Vol.51 (3), p.R1086-R1089
Main Authors: Wu, CL, Feng, DH, Guidry, MW, Chen, HT, Pan, XW
Format: Article
Language:English
Subjects:
663120 - Nuclear Structure Models & Methods- (1992-)
DEFORMATION
DYNAMICAL GROUPS
FERMIONS
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR PHYSICS AND RADIATION PHYSICS
OSCILLATION MODES
SHELL MODELS
SINGLE-PARTICLE MODES
SU GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
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Summary:It is shown that the SU(3) symmetry for low-lying states of the fermion dynamical symmetry model is essentially preserved even for highly nondegenerate spherical single-particle energies. The breaking of SU(3) symmetry by single-particle energy terms in heritage-0 configurations for either normal deformation or superdeformation occurs only through an indirect Pauli effect and is significant only when the spherical single-particle splitting within shells is artificially large relative to that observed experimentally.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.51.R1086