Algebraic approach to vibrational collective motion in a model with both collective and noncollective degrees of freedom

Journal Article · Wed Feb 01 00:00:00 EST 1978 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.17.755· OSTI ID:7180269

Vassanji, M G; Klein, A; Dasso, C

An algebraic approach, within a framework using equations of motion, is applied to the study of vibrational collective motion in exactly soluble shell models with symmetry R(5) and R(5) +- R(5). The latter exhibits two phonon branches, permitting the study of the effect of the noncollective on the collective branch. The results of this method, including the splitting of the two-phonon degeneracy, agree satisfactorily with exact results for a range of parameters well into the transition region between vibrational and rotational motion.

• Research Organization: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19174
• OSTI ID: 7180269
• Journal Information: Phys. Rev., C; (United States), Vol. 17:2
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE MODEL
VIBRATIONAL STATES
SHELL MODELS
EQUATIONS OF MOTION
HAMILTONIANS
MANY-BODY PROBLEM
PAULI PRINCIPLE
PHONONS
SUM RULES
SYMMETRY GROUPS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
EXCITED STATES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
QUANTUM OPERATORS
QUASI PARTICLES
653007* - Nuclear Theory- Nuclear Models- (-1987)