The Two-Nucleon System in Three Dimensions

TL;DR

This paper extends a three-dimensional spin-momentum operator formulation to nucleon-nucleon scattering, providing a new approach that is validated against traditional partial wave methods through numerical examples.

Contribution

It introduces a novel three-dimensional formulation for nucleon-nucleon scattering using spin-momentum operators, enhancing the analysis of two-nucleon systems.

Findings

Numerical results for the deuteron and scattering observables.

Good agreement with standard partial wave results.

Validation of the new formulation's reliability.

Abstract

A recently developed formulation for treating two- and three-nucleon bound states in a three-dimensional formulation based on spin-momentum operators is extended to nucleon-nucleon scattering. Here the nucleon-nucleon t-matrix is represented by six spin-momentum operators accompanied by six scalar functions of momentum vectors. We present the formulation and provide numerical examples for the deuteron and nucleon-nucleon scattering observables. A comparison to results from a standard partial wave decomposition establishes the reliability of this new formulation.