Nucleon-Nucleon interaction, charge symmetry breaking and renormalization

TL;DR

This paper investigates how charge symmetry breaking and renormalization influence nucleon-nucleon interactions, deriving universal relations that connect scattering observables across different nucleon pairs without extra parameters.

Contribution

It introduces a framework that separates long-distance dynamics from low-energy parameters and extends universality relations to include Coulomb effects in NN scattering.

Findings

Derived universality relations for NN interactions.

Extended relations to Coulomb case.

Achieved good phenomenological agreement without additional parameters.

Abstract

We study the interplay between charge symmetry breaking and renormalization in the NN system for s-waves. We find a set of universality relations which disentangle explicitly the known long distance dynamics from low energy parameters and extend them to the Coulomb case. We analyze within such an approach the One-Boson-Exchange potential and the theoretical conditions which allow to relate the proton-neutron, proton-proton and neutron-neutron scattering observables without the introduction of extra new parameters and providing good phenomenological success.