An approach to nucleon momentum and density distributions in the generator co-ordinate method

Abstract

The generator co-ordinate method (GCM) with a square-well construction potential and Skyrme-like interaction is applied to calculate the nucleon density and momentum distributions as well as the binding energies and r.m.s. radii of the ground and first excited monopole states of4He and16O. It is shown that in the particular case of square-well generating functions GCM applied to the monopole vibrations results in i) the presence of high-momentum components in the nucleon momentum distributions (atq>2 fm−1), which is an indication of an effective account of short-range correlations, and ii) a correct general behaviour of the local density distribution. The calculated density and momentum distributions are compared with the results of other approaches.