E2 and M1 transition strengths in heavy deformed nuclei revisited

J. P. Draayer, Louisiana State University
G. Popa, Rochester Institute of Technology
J. G. Hirsch, Instituto de Ciencias Nucleares de la UNAM
C. E. Vargas, Instituto de Ciencias Nucleares de la UNAM


An update on the status of pseudo-SU(3) shell-model calculations in strongly deformed nuclei in the rare earth region is presented. Representative results for energy levels as well as E2 (quadrupole) and Ml (scissors) transitions strengths in 162Dy (even-even) and 163Dy (odd-mass) are given. The calculations use realistic single-particle energies and quadrupole-quadrupole and pairing interaction strengths fixed from systematics. The strengths of rotor-like terms included in the Hamiltonian - all small relative to the other terms in the interaction - were adjusted to give an overall best fit to the energy spectra. The results present a paradox: for even-even nuclei (integer angular momentum) non-zero pseudo-spin configurations seems to be unimportant while for the odd-mass systems (half-integer angular momentum) pseudo-spin mixing is essential as spin-flip couplings appear to dominate the Ml transition strengths.