The U(5)-O(6) model: An analytical approach to shape coexistence
Abstract
A completely analytical model describing shape coexistence by mixing between the normal (U(5)) and the intruder (O(6)) configuration is proposed. The model based on the IBM-1 provides analytical expressions for the energies and wavefunctions of a restricted number of levels, relevant B(E2) values, p(EO) values and quadrupole moments. It relies on the important selective mixing that occurs between normal and intruder states governed by the O(5) symmetry. The analytical expressions of the B(E2) values allow a fit to the experimental data which takes into account global (spins and energies) and local ( B(E2) values) properties of the structure of the atomic nucleus making it possible to test the model predictions in detail. In addition to the application of the model to 110,112,114Cd, some interesting effects of the O(5) group, present in both dynamical symmetries involved in the configuration mixing, are discussed.
- Publication:
-
Nuclear Physics A
- Pub Date:
- February 1995
- DOI:
- 10.1016/0375-9474(95)00045-3
- Bibcode:
- 1995NuPhA.588..623L