Shell model description of normal parity bands in even-even heavy deformed nuclei

G. Popa, Louisiana State University
J. G. Hirsch, Universidad Nacional Autónoma de México
J. P. Draayer, Louisiana State University


The pseudo-SU(3) model is used to describe the low-energy spectra and electromagnetic transition strengths in [Formula Presented] and [Formula Presented] The Hamiltonian includes spherical single-particle energies, the quadrupole-quadrupole interaction, proton and neutron pairing interactions, plus four rotorlike terms. The quadrupole-quadrupole and pairing interaction strengths are assigned the values [Formula Presented] and [Formula Presented] respectively. The single-particle energies were taken from experiment but scaled to yield an overall best fit. For the other four rotorlike terms, which do not mix SU(3) representations and induce only small changes in the spectra, a consistent set of parameters is given. The basis states are built as linear combinations of SU(3) states which are the direct product of SU(3) proton and neutron states with pseudospin zero. The results are in good agreement with experimental data, demonstrating the suitability of the model to describe heavy deformed nuclei. © 2000 The American Physical Society.