Abstract
Within the framework of the folded-diagram theory, we have studied the effective interaction appropriate for hole-hole nuclei in the mass regions of 16O and 40Ca, using the Bonn and Paris potential models. To sum up the folded diagrams we have employed the renormalization procedure of Lee and Suzuki, using a so-called Q ̌ - box in which were included all one-body and two-body irreducible valence-linked diagrams up to third order in perturbation theory. We report discrepancies for the mass dependence of the effective interaction for several JT configurations with respect to empirically deduced mass dependencies. The role of core-polarization processes up-to third order were found to be one of the mechanisms behind these discrepancies. Compared to the results obtained with the Paris potential, more attraction is introduced by the Bonn potential for all matrix elements of concern, a result which agrees well with previous findings for the particle-particle interaction in the same mass regions. A qualitative agreement with experimental data is obtained.
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