A method of numerical calculation of the effect of short-range correlations for a wide range of nuclei

Abstract

We introduce a method to calculate the effect of short-range correlation (SRC) on the proton density distribution numerically, up to the first order of the cluster expansion, that can be used for wide range of closed shell nuclei and determine the effect on proton density, root-mean square (RMS) radius, and form factor of many different closed-shell nuclei: $^4$He, $^{16}$O, $^{28}$Si, $^{32}$S, $^{40}$Ca, $^{60}$Ni, $^{90}$Zr, $^{140}$Ce and $^{208}$Pb. In the short-range correlations, we have included the effects of repulsive and attractive parts of the N-N interaction and adjusted the SRC parameters to reproduce the results obtained by solving the Bethe-Goldstone Equation.