Correlation Effects in Nuclear Densities

Abstract

Corrections to nuclear densities arising from static short-range correlations are evaluated for the nuclei ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$, and ${}_{}{}^{56}{}_{}{}^{}\mathrm{Ni}$. The corrections are calculated using Rayleigh-Schrödinger perturbation theory in a basis obtained using Hartree-Fock. All corrections which are second order in the interaction are treated. The effects of necessary truncations are studied and are shown to render the results uncertain by about 20%. The net change in the density is a radial function which is less than 6% of the Hartree-Fock density and which oscillates in such a way that its effect on the rms radius is negligible. It is pointed out that in Brueckner-Hartree-Fock calculations a certain lack of cancellation might result in an excessively large change in the density and radius.