Nuclear densities with fractional occupation probabilities of the states

Abstract

A general method for calculating nuclear distributions (charge, matter and momentum), mean radii and nuclear form factors for determinantal wavefunctions in the harmonic-oscillator shell model, is presented. It is based on tractable analytic expressions derived in the context of this model. A modification, in which fractional occupation probabilities of the surface orbits are used, is also presented. The method is applied to the spherical nucleus 40Ca. The values of the partial occupation probabilities are determined by fitting to the experimental elastic electron scattering data and are compared with those given by other recent calculations.