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, A
132, A
150,
A
190, A
230) 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.