Towards a shell model description of the low-energy structure of deformed nuclei I. Even-even systems

Journal Article · Wed Aug 01 00:00:00 EDT 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90210-0· OSTI ID:6464046

Draayer, J P; Weeks, K J

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 configurations 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 a 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.

• Research Organization: Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803
• OSTI ID: 6464046
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 156:1
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DYSPROSIUM 160
E2-TRANSITIONS
ROTATIONAL STATES
DYSPROSIUM 162
DYSPROSIUM 164
ERBIUM 164
ERBIUM 166
ERBIUM 168
SHELL MODELS
SU-3 GROUPS
THORIUM 232
URANIUM 234
URANIUM 236
URANIUM 238
YTTERBIUM 166
YTTERBIUM 168
DEFORMED NUCLEI
HAMILTONIANS
NILSSON-MOTTELSON MODEL
ACTINIDE ISOTOPES
ACTINIDE NUCLEI
ALPHA DECAY RADIOISOTOPES
BETA DECAY RADIOISOTOPES
DAYS LIVING RADIOISOTOPES
DYSPROSIUM ISOTOPES
ELECTRON CAPTURE RADIOISOTOPES
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
ERBIUM ISOTOPES
EVEN-EVEN NUCLEI
EXCITED STATES
HEAVY NUCLEI
INTERMEDIATE MASS NUCLEI
ISOTOPES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUCLEI
QUANTUM OPERATORS
RADIOISOTOPES
RARE EARTH ISOTOPES
RARE EARTH NUCLEI
STABLE ISOTOPES
SU GROUPS
SYMMETRY GROUPS
THORIUM ISOTOPES
URANIUM ISOTOPES
YEARS LIVING RADIOISOTOPES
YTTERBIUM ISOTOPES
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