Quadrupole--octupole anharmonicities in spherical nuclei

Journal Article · Mon Jan 01 04:00:00 EST 1973 · Rev. Roum. Phys., v. 18, no. 7, pp. 901-942

OSTI ID:4366982

Raduta, A A

Two models for treating the coupling of quadrupole and octupole vibrations are presented. The quasi-bosonic structure for the quadrupole and octupole operators is preserved. One obtains the nonlinearity of the equations of motion for these two kinds of vibrations by supplementing the conventional Hamiltonian which contains the pairing-, quadrupole --quadrupole and octupole -- octupole interactions with a term of third onder in the moments. One determines the coupling of quadrupole and octupole vibrations, by the anharmonic structure of the quadrupole and octupole operators. The dispersion equations for the single and two phonon collective states (2/sup +/, 3/sup -/, 1/sup -/, 2/sup -/, 3/sup -1/, 4/sup -/, 5/sup -/) a re written in the two considered models and the transition probabilities B (E2,2 yields 0/sup +/), B (E3,3- yields 0/sup +/), B (E3,3/sup -1/ yields 0/sup +/) are found as well. Both alternatives ar e tested for the case of /sup 114/Sn. (auth)

• Research Organization: Inst. of Atomic Physics, Bucharest
• NSA Number: NSA-29-014245
• OSTI ID: 4366982
• Journal Information: Rev. Roum. Phys., v. 18, no. 7, pp. 901-942, Journal Name: Rev. Roum. Phys., v. 18, no. 7, pp. 901-942; ISSN RRPQA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

*SPHERICAL MODEL-- VIBRATIONAL STATES
*TIN 114-- ENERGY-LEVEL TRANSITIONS
BOSONS
COLLECTIVE MODEL
COUPLING
EQUATIONS OF MOTION
HAMILTONIANS
MATHEMATICAL OPERATORS
N68732* --Physics (Nuclear
Theoretical)--Nuclear Properties & Reactions
90 <= A <= 149--Energy Levels & Transitions
NONLINEAR PROBLEMS
OCTUPOLES
PAIRING INTERACTIONS
PHONONS
PROBABILITY
QUADRUPOLES