Some aspects of the phenomenological and microscopic theory of nuclear collective motion

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1985

OSTI ID:5793394

Bonatsos, D

First, the Variable Moment of Inertia model has been generalized so as to be applicable to transitional and vibrational nuclei. Two three-parameter models, the Variable Anharmonic Vibrator Model and the Generalized VMI model have been introduced and applied to all known ground state bands of medium and heavy even nuclei away from closed shells. Except for strongly deformed nuclei, these models substantially improve the agreement with the data. Backbending in even nuclei is fitted next, by mixing a ground state, ..beta.. or ..gamma.. band described by the VMI formula with a superband characterized by a constant moment of inertia and applying either the standard band coupling formalism or the constant interband interaction formalism. The predictive power of the model is emphasized. Subsequently, a new approximate method for carrying out the boson mapping in the seniority scheme is described, in which the boson expansion of the pair and multipole operators are determined by satisfying the commutation relations for the associated Lie algebra. Finally, a special closed set of communication relations satisfied by the fermion pair and multipole operators for a major shell in LST coupling is found.

• Research Organization: Pennsylvania Univ., Philadelphia (USA)
• OSTI ID: 5793394
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BACKBENDING
COLLECTIVE MODEL
COMMUTATION RELATIONS
INTERACTING BOSON MODEL
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
SHELL MODELS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
VMI MODEL