# R-matrix method and the nonlocal nucleon optical potential

## TL;DR

This paper demonstrates that the calculable R-matrix method effectively solves the Schrödinger equation in optical model analyses of elastic nucleon-nucleus scattering with nonlocal potentials, validated through comparisons with other methods.

## Contribution

The study applies the calculable R-matrix method to nonlocal optical potentials, showing its efficiency and accuracy in modeling elastic nucleon scattering on various nuclei.

## Key findings

- R-matrix method successfully applied to nonlocal optical potentials
- Results agree with other computational methods
- Validated for multiple target nuclei and energies

## Abstract

The calculable R-matrix method is applied to solve the Schr\"odinger equation in the optical model (OM) analysis of the elastic nucleon-nucleus scattering using a nonlocal nucleon optical potential (OP). The phenomenological nonlocal nucleon OP proposed by Perey and Buck (PB), and the two recent versions of the PB parametrization were used in the present OM study of the elastic nucleon scattering on $^{27}$Al, $^{40}$Ca, $^{48}$Ca, $^{90}$Zr, and $^{208}$Pb targets at different energies. The comparison of the OM results given by the calculable $R$-matrix method with those given by other methods confirms that the calculable $R$-matrix method is an efficient tool for the OM study of the elastic nucleon-nucleus scattering using a nonlocal nucleon OP.