Abeh~act: The suitability of pseudo SU(3) strong coupled wave functions in representing the normal parity part of yrast eigenstates of systems with protons and neutrons filling diJfercnt major shells and interacting with one another via a Q " Q interaction is explored . In addition, we find that the overlaps of yrast eigenstates of H with the leading SU(3) symmetry follow the correlation of Q " Q with H very closely and are large even when Q~" Q contributes less than half to the full width of the eigenvalue spectrum of H. The results suggestthat the pseudo-SU(3) coupling scheme will prove useful in microscopic shell-model studies of high-spin phenomena in rare earth and actinide nuclei .
An effective fermion interaction of maximum particle rank four, comprised of operators which form the integrity basis of an SU(3) -R(3) algebra, has been found sufficient to reproduce almost exactly, within a single leading irreducible representation of pseudo SU(3), the ground-and gamma-band rotational structure as well as the concomitant interband and intraband B(E2) strengths of states in the strongly deformed nuclei. Results are given for 164 Er.
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