Unified description of three positive and three negative parity interacting bands

Abstract

The coherent state model (CSM) is extended so that three negative parity bands are treated on equal footing with three positive parity bands. The six rotational bands are generated by projecting out angular momenta and parities from three intrisic orthogonal states which exhibit both quadrupole and octupole deformations. The projected states are, by construction, mutually orthogonal. In the space of projected states, a sub-space of a quadrupole and octupole multi-boson states, an effective quadrupole and octupole boson Hamiltonian is solved. The eigenstates of the model Hamiltonian are linked by multipole transition operators for which lowest order boson expressions are considered. The calculations involve 6 structure coefficients and two deformation parameters. All of them are fixed by a least square fit of the known experimental energies. Applications are made to Gd158, Yb172, Ra218, Ra226, Th232, U238, Pu238. Very good agreement is obtained for both excitation energies and transition probabilities. New signatures for octupole deformation, manifested in excited bands, are pointed out.

49 pages, RevTex, 8 Postscript figures

References in corpus (4)

• Relationship between dinuclear systems and nuclei in highly deformed states
• A New Microscopic Approach to the Rotational Intensity Relations
• Description of even-even triaxial Nuclei within the Coherent State and the Triaxial Rotation-Vibration Models
• New Shell Structure Originated from the Combination of Quadrupole and Octupole Deformations

Cited by in corpus (6)

• Application of the sextic oscillator with centrifugal barrier and the spheroidal equation for some X(5) candidate nuclei
• A solvable model which has X(5) as a limiting symmetry and removes some inherent drawbacks
• New features of the triaxial nuclei described with a coherent state model
• Remarcs on the shape transition from spherical to deformed gamma unstable nuclei
• Simultaneous description of four positive and four negative parity bands
• The CSM extension for the description of positive and negative parity bands in even-odd nuclei