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

TL;DR

This paper presents a numerical method to evaluate the impact of short-range correlations on proton density distributions across various closed-shell nuclei, incorporating realistic N-N interaction effects.

Contribution

A new numerical approach for calculating short-range correlation effects on nuclear properties for a wide range of closed-shell nuclei.

Findings

Effect of SRC on proton density distributions quantified.

Adjusted SRC parameters match Bethe-Goldstone Equation results.

Method applicable to multiple closed-shell 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.