SOLUBLE MODEL TEST OF THE MULTIVALUED G-MATRIX EFFECTIVE INTERACTION

The recently proposed multi-valued G-matrix effective interaction is t ested in a soluble multi-level monopole-pairing interaction model. To mimic the no-core shell model approach, different effective interactio ns including the multi-valued G-matrix are calculated in a two-particl e space and subsequently applied for the many-particle calculation. Th e multi-valued G-matrix effective interaction, both starting energy de pendent and starting energy independent, is shown to be superior to th e single-valued G-matrix. The formalism is extended to effective opera tors, where a similar conclusion is found.