Towards a shell model description of the low energy structure of deformed nuclei. I. Even-even systems
A microscopic shell model theory for the low-lying collective states of heavy deformed nuclei is described. Basis selection is guided by the Bohr-Mottelson-Nilsson picture of collective motion in nuclei. The necessary further truncation is achieved by exploiting an SU(3) symmetry inherent to the structure of the normal parity states and by restricting abnormal parity configuration to states with low seniority. An effective interaction comprised of operators which form an integrity basis for the SU(3) ..-->.. R(3) algebra is shown to be sufficient to reproduce almost exactly, within single leading irreducible representation of SU(3), the ground and gamma band rotational structure of eight rare earth (/sup 160/Dy, /sup 162/Dy, /sup 164/Dy, /sup 164/Er, /sup 166/Er, /sup 168/Er, /sup 166/Yb, /sup 168/Yb) and four actinide (/sup 232/Th, /sup 234/U, /sup 236/U, /sup 238/U) nuclei. The concomitant interband and intraband E2 strengths are also shown to be accurately reproduced. Extensions of the theory and necessary further theoretical investigations are reviewed. 32 references.
- Research Organization:
- Louisiana State Univ., Baton Rouge (USA). Dept. of Physics and Astronomy
- DOE Contract Number:
- AS05-76ER04935
- OSTI ID:
- 5307785
- Report Number(s):
- DOE/ER/04935-069; ON: DE84006200
- Resource Relation:
- Other Information: Portions are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
DEFORMED NUCLEI
ENERGY LEVELS
SHELL MODELS
DYSPROSIUM 150
DYSPROSIUM 162
DYSPROSIUM 164
ERBIUM 164
ERBIUM 166
ERBIUM 168
THORIUM 232
URANIUM 234
URANIUM 236
URANIUM 238
YTTERBIUM 166
YTTERBIUM 168
COLLECTIVE EXCITATIONS
ENERGY-LEVEL TRANSITIONS
EVEN-EVEN NUCLEI
NILSSON-MOTTELSON MODEL
ROTATIONAL STATES
SU-3 GROUPS
THEORETICAL DATA
ACTINIDE ISOTOPES
ACTINIDE NUCLEI
ALPHA DECAY RADIOISOTOPES
BETA DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
DATA
DAYS LIVING RADIOISOTOPES
DYSPROSIUM ISOTOPES
ELECTRON CAPTURE RADIOISOTOPES
ERBIUM ISOTOPES
EXCITATION
EXCITED STATES
HEAVY NUCLEI
INFORMATION
INTERMEDIATE MASS NUCLEI
ISOTOPES
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
NUMERICAL DATA
RADIOISOTOPES
RARE EARTH ISOTOPES
RARE EARTH NUCLEI
STABLE ISOTOPES
SU GROUPS
SYMMETRY GROUPS
THORIUM ISOTOPES
URANIUM ISOTOPES
YEARS LIVING RADIOISOTOPES
YTTERBIUM ISOTOPES
651813* - Nuclear Properties & Reactions
A=150-189
Theoretical- Energy Levels & Transitions- (-1987)
652013 - Nuclear Properties & Reactions
A=220 & above
Theoretical- Energy Levels & Transitions- (-1987)