Phenomenological High Precision Neutron-Proton Delta-Shell Potential

TL;DR

This paper develops a high-precision phenomenological model for neutron-proton interactions below 350 MeV, combining delta-shell potentials and pion exchange, with a focus on systematic uncertainty and error estimation.

Contribution

It introduces a novel phenomenological potential model using delta-shells and pion exchange, with systematic uncertainty analysis for neutron-proton scattering.

Findings

Successful fit to scattering data below 350 MeV

Systematic uncertainty assessed through multiple potential forms

Error estimation for the phenomenological interaction

Abstract

We provide a successful fit for proton-neutron scattering below pion production threshold up to LAB energies of 350 MeV. We use seven high-quality fits based on potentials with different forms as a measure of the systematic uncertainty. We represent the interaction as a sum of delta-shells in configuration space below the 3fm and a charge dependent one pion exchange potential above 3fm together with magnetic and vacuum polarization effects. Special attention is paid to estimate the errors of the phenomenological interaction.