Higher Order Core Polarization Contributions to the Effective Interaction in 42Ca – 42Sc

Abstract

A numerical calculation of the core polarization of the effective interaction between nucléons outside the 40Ca closed shell has been carried out, taking account of several higher order processes suggested by Kirson. These are a systematic inclusion of particle–hole scattering, self-screening of phonons, and modification of the one-particle to two-particle, one-hole vertex. These processes have the same effect as in the earlier calculation for 16O; namely, the final result is a very small net core polarization contribution to the effective interaction, which cannot explain the low-lying spectra.