Two-nucleon problem in semi-relativistic baryon chiral perturbation theory

TL;DR

This paper develops a semi-relativistic approach to nucleon-nucleon scattering using baryon chiral perturbation theory, employing higher-derivative formulation to compute amplitudes while maintaining symmetry.

Contribution

It introduces a symmetry-preserving, higher-derivative formulation for nucleon-nucleon scattering within baryon chiral perturbation theory, enabling renormalizable leading-order calculations.

Findings

Leading-order amplitude computed via renormalizable equations

Perturbative corrections incorporated systematically

Framework preserves fundamental symmetries

Abstract

We consider a symmetry-preserving approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Within this framework the leading-order amplitude is calculated by solving renormalizable equations and corrections are taken into account perturbatively.