Realistic collective nuclear Hamiltonian

Abstract

The residual part of the realistic forces---obtained after extracting the monopole terms responsible for bulk properties---is strongly dominated by pairing and quadrupole interactions, with important \ensuremath{\sigma}\ensuremath{\tau}\ensuremath{\cdot}\ensuremath{\sigma}\ensuremath{\tau}, octupole, and hexadecapole contributions. Their forms retain the simplicity of the traditional pairing plus multipole models, while eliminating their flaws through a normalization mechanism dictated by a universal ${\mathit{A}}^{\mathrm{\ensuremath{-}}1/3}$ scaling. Coupling strengths and effective charges are calculated and shown to agree with empirical values. Comparisons between different realistic interactions confirm the claim that they are very similar. \textcopyright{} 1996 The American Physical Society.