Nuclear distributions, rms radii and form factors with the harmonic oscillator shell model

Abstract

General expressions for calculating nuclear distributions (proton, charge, matter and momentum), mean radii and nuclear form factors are derived by extending recent related works. They are based either on the simple harmonic oscillator shell model or on its modification in which fractional occupation probabilities of the surface orbits are used to fit the experimental elastic electron scattering data. The 40Ca and the values of partial occupation method is applied to the spherical nucleus probabilities are compared with those determined from experimental reaction data.