Theoretical studies in nuclear structure. [Self-consistent cranking model for anharmonic collective vibrational states]

Technical Report · Tue Dec 01 00:00:00 EST 1992

DOI:https://doi.org/10.2172/6609040· OSTI ID:6609040

Marshalek, E R

Two topics of current interest strongly anharmonic collective vibrations and collective rotation about a tilted axis - have been related through a theorem proposed by the principal in Theorem, states that if a system has an axis of rotational symmetry in a static mean-field approximation, then self-consistent cranking about this axis gives rise to symmetry-breaking bifurcations that occur for critical cranking frequencies [Omega][sub c] given by [Omega][sub c] = [omega][sub [mu]]/K[sub [mu]], where [omega][sub [mu]] is the small-oscillation (RPA) frequency of any normal mode carrying [h bar]K[sub [mu]] ([ne] 0) units of angular momentum along the symmetry axis. The bifurcations represent families of anharmonic oscillations built on the axially symmetric mean field. For certain values of K[sub [mu]], the solutions appear as rotations about an axis that is tilted with respect to the principal axis of the density distribution. The theorem has been tested on some simple models in preparation for more realistic calculations that are planned for the near future.

• Research Organization: Notre Dame Univ., IN (United States)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: FG02-91ER40640
• OSTI ID: 6609040
• Report Number(s): DOE/ER/40640-2; ON: DE93012290
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DEFORMED NUCLEI
VIBRATIONAL STATES
CRANKING MODEL
MEAN-FIELD THEORY
PROGRESS REPORT
RANDOM PHASE APPROXIMATION
SELF-CONSISTENT FIELD
DOCUMENT TYPES
ENERGY LEVELS
EXCITED STATES
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
663110* - General & Average Properties of Nuclei & Nuclear Energy Levels- (1992-)