Nilsson-SU3 selfconsistency in heavy N=Z nuclei
Abstract
It is argued that there exist natural shell model spaces optimally adapted to the operation of two variants of Elliott' SU3 symmetry that provide accurate predictions of quadrupole moments of deformed states. A selfconsistent Nilsson-like calculation describes the competition between the realistic quadrupole force and the central field, indicating a remarkable stability of the quadruplole moments---which remain close to their quasi and pseudo SU3 values---as the single particle splittings increase. A detailed study of the N=Z even nuclei from 56Ni to 96Cd reveals that the region of prolate deformation is bounded by a pair of transitional nuclei 72Kr and 84Mo in which prolate ground state bands are predicted to dominate, though coexisting with oblate ones,
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