Self-consistent core polarization near 16O

Abstract

Self-consistent fully-screened core polarization is evaluated by use of the mutually consistent particle-hole, particle-phonon, hole-phonon, and core-to-2 p2 h vertices. The sensitivity of the results to changes in unperturbed single-particle energies and in reaction matrix elements is tested, and it is found that the usual effects of collective enhancements and screening reductions persist. The final results are remarkably stable, even though individual renormalization effects show strong pathologies. It is argued that the RPA is not a good method for treating vibrations of the nuclear core. The self-consistent vertices are applied to calculations of the hole-hole effective interaction, of shell breaking, and of E2 effective charges, and it is shown that all the renormalization effects found in the particle-particle effective interaction show up in these other quantities as well. The conclusion is that self-consistent core polarization is too weak to account for significant renormalizations of effective operators.