Sp sub 6 le crSscrU sub 2 symmetry of the fermion dynamical symmetry model

Journal Article · Fri Dec 01 04:00:00 EST 1989 · Physical Review (Section) C: Nuclear Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevC.40.2844· OSTI ID:7162975

Chen, J ^[1]; Chen, X; Feng, D H; Wu, C ^[2]; Ginocchio, J N ^[3]; Guidry, M W ^[4]

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1. China Center of Advanced Science and Technology (World Laboratory) Beijing, (China) Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104 (USA)
2. Department of Physics and Atmospheric Science Drexel University, Philadelphia, Pennsylvania 19104 (USA)
3. Theoretical Division, Los Alamos Scientific Laboratory, University of California, Los Alamos, New Mexico 87544 (USA)
4. Department of Physics and Astronomy University of Tennessee, Knoxville, TN (USA)

The SP{sub 6}{times}SU{sub 2} symmetry of the fermion dynamical symmetry model (FDSM) was studied. Analytic expressions are given for the wave functions and matrix elements of the pair creation operators {ital S}{sup {dagger}}, {ital D}{sup {dagger}}, and {ital E}2 transition operator for the heritage {ital u}=0, 1, 2 cases. Various Pauli effects which differentiate the FDSM SU{sub 3} from IBM SU{sub 3}, as well as the relationship between the wave functions and matrix elements in the FDSM, the interacting boson model, the Sp (6,{ital R}) models, and the Elliott model are discussed. Extensive discussions of the physical implications of the model are presented.

• OSTI ID: 7162975
• Journal Information: Physical Review (Section) C: Nuclear Physics; (USA), Journal Name: Physical Review (Section) C: Nuclear Physics; (USA) Vol. 40:6; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSON-FERMION SYMMETRY
COLLECTIVE MODEL
CREATION OPERATORS
ELLIOT MODEL
FUNCTIONS
INTERACTING BOSON MODEL
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEAR STRUCTURE
QUANTUM OPERATORS
SHELL MODELS
SP GROUPS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
WAVE FUNCTIONS