Microscopic bell-shape nonlocality: the case of proton scattering off ${}^{40}$Ca at 200 MeV

Abstract

This work is part of an ongoing effort to build microscopically-driven nonlocal optical potentials easily tracktable in scattering codes. Based on the separable `$JvH$' structure proposed recently \cite{arellano_22}, where the potential can be cast as the product of a radial and nonlocality form factors, we investigate its angular dependence in momentum space. We find that scattering observables have a weak angular dependence between the momentum transfer {$\mathbf{q}=\mathbf{k}-{\mathbf{k}}^{\prime }$}, and {$\mathbf{K}=(\mathbf{k}+{\mathbf{k}}^{\prime })/2$}. The study is focussed on proton elastic scattering off ${}^{40}$Ca at 200 MeV, where the $JvH$ structure is found to be inadequate. We conclude that any improvement of the $JvH$ structure of the potential can be made to the lowest order in multipole expansions in $Kq-$representation of the potential.