Mixed-mode shell-model theory for nuclear structure studies

Vesselin G. Gueorguiev, Louisiana State University
W. E. Ormand, Louisiana State University
C. W. Johnson, Louisiana State University
J. P. Draayer, Louisiana State University


We introduce a shell-model theory that combines traditional spherical states, which yield a diagonal representation of the Usual single-particle interaction, with collective configurations that track deformations, and test the validity of this mixed-mode, oblique-basis shell-model scheme on 24Mg. The correct binding energy (within 2% of the full-space result) as well as low-energy configurations that have greater than 90% overlap with full-space results are obtained in a space that spans less than 10% of the full space. The results suggest that a mixed-mode shell-model theory may be useful in situations where competing degrees of freedom dominate the dynamics and full-space calculations are not feasible.