CONSTRUCTION OF SHELL-MODEL INTERACTIONS FOR Z-GREATER-THAN-OR-EQUAL-TO-50, N-GREATER-THAN-OR-EQUAL-TO-82 NUCLEI - PREDICTIONS FOR A=133-134 BETA-DECAYS

Two shell-model interactions are constructed in the model space of the five proton and six neutron orbits just above the double shell closure at Sn132. One interaction uses the two-body matrix elements calculated by Kuo and Herling for use near Pb-208. For the other, the proton-proton two-body matrix elements are replaced with effective ones of Kruse and Wildenthal and selected proton-neutron matrix elements were varied in order to better reproduce the known energy spectra of Sb134. The main difficulty in this construction is the determination of the neutron single-particle energies. This determination was done by comparison of theoretical and experimental (d,p) spectroscopic factors for the N = 83, Z = 54, 56, and 58 isotones. The DELTA-J not-equal 0 first-forbidden beta- decays of Sn133(7/2-), 134Sn(0+), 134Sb(0-), and 134Sb(7-) were considered in order to exemplify the application of these interactions.