We would like to investigate the isospectral bands
(also called "identical") using the average nuclear field
approach together with its realistic non-selfconsistent (deformed Woods-Saxon
hamiltonian) and selfconsistent (Hartree-Fock with the Skyrme interaction)
versions. The first pilot projects suggest that the polarization of the moments
of inertia by an odd, non-intruder nucleon, is markedly lower in the case
of the selfconsistent approach as compared to the non-selfconsistent
calculations.
We would like to further elucidate the role of the
pseudo-symmetries in the super- and hyper-deformed state structure.
In this case we would like to extend the
calculations to several mass ranges (A80, A132, A150,
A190, A230) in particular by using the improved hamiltonians
(see below). We would like to combine here the superdeformation-oriented
calculations with the results on the pseudo-spin transformation project
introduced in the framework of Sec. 7.