Separation of the monopole contribution to the nuclear Hamiltonian

Abstract

It is shown that the nuclear Hamiltonian can be separated rigorously as $\mathcal{H}={\mathcal{H}}_m+{\mathcal{H}}_M.$ For sufficiently smooth forces the monopole part ${\mathcal{H}}_m$is entirely responsible for Hartree-Fock selfconsistency and hence saturation properties. The multipole part ${\mathcal{H}}_M$ contains the ``residual'' terms - pairing, quadrupole, etc. - that will be analyzed in a companion paper. We include a review of the basic results often needed when working with multipole decompositions and average monopole properties.

Comments: 20 Pages, RevTeX 3.0