Effects of short-range correlations in(e,e′p)reactions and nuclear overlap functions

Abstract

A study of the effects of short-range correlations over the ${(e,e}^{\ensuremath{'}}p)$ reaction for low missing energy in closed-shell nuclei is presented. We use correlated quasihole overlap functions extracted from the asymptotic behavior of the one-body density matrix, containing central correlations of Jastrow type, up to first order in a cluster expansion, and computed in the very high asymptotic region, up to 100 fm. The method to extract the overlap functions is checked in a simple shell model, where the exact results are known. We find that the single-particle wave functions of the valence shells are shifted to the right due to the short-range repulsion by the nuclear core. The corresponding spectroscopic factors are reduced by only a few percent with respect to the shell model. However, the ${(e,e}^{\ensuremath{'}}p)$ response functions and cross sections are enhanced in the region of the maximum of the missing momentum distribution due to short-range correlations.