Phenomenological high precision neutron–proton delta-shell potential

R Navarro-Pérez,J.E Amaro,E Ruiz-Arriola

doi:10.1016/j.physletb.2013.05.066

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 3 fm and a charge-dependent one-pion exchange potential above 3 fm together with magnetic effects. Special attention is payed to estimate the errors of the phenomenological interaction.

Highlights

Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional Universidad de Granada, E-18071 Granada, Spain article info
We provide a successful fit for proton–neutron scattering below pion production threshold up to LAB energies of 350 MeV
First we compile the phase shifts provided by the partial wave analysis (PWA) and by the high-quality potentials of Refs. [3,4,5,6,7] for a discrete set of energies Ei

Summary

Introduction

Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional Universidad de Granada, E-18071 Granada, Spain article info. We use seven high-quality fits based on potentials with different forms as a measure of the systematic uncertainty. The standard approach to constrain the interaction is to analyze NN scattering data below pion production threshold and to undertake a partial wave analysis (PWA), the quality of the fit being given by the χ 2/d.o.f. value.

Results

Conclusion