Nonlocal structure of the leading order \textit{ab initio} effective potentials for proton elastic scattering from light nuclei

TL;DR

This paper develops a consistent leading-order effective potential for proton elastic scattering from light nuclei using a chiral NNLO nucleon-nucleon interaction within the spectator expansion framework, incorporating the target nucleon spin.

Contribution

It introduces a novel leading-order effective potential that is consistent with chiral NNLO interactions and includes target nucleon spin effects in proton-nucleus scattering calculations.

Findings

Effective potential includes nonlocal structure and target nucleon spin.

Application to proton scattering off carbon-12 demonstrates the approach.

Potential improves understanding of nucleon-nucleus interactions.

Abstract

Based on the spectator expansion of the multiple scattering series we employ a chiral next-to-next-to-leading order (NNLO) nucleon-nucleon interaction on the same footing in the structure as well as in the reaction calculation to obtain an in leading-order consistent effective potential for nucleon-nucleus elastic scattering, which includes the spin of the struck target nucleon. As an example we present proton scattering off $^{12}$C.