A Regge Model for Nucleon-Nucleon Spin Dependent Amplitudes

TL;DR

This paper develops a Regge theory-based model to calculate high-energy nucleon-nucleon spin-dependent scattering amplitudes, filling a gap where no existing models are available for energies above 6 GeV^2.

Contribution

It introduces a novel parameterization of nucleon-nucleon scattering amplitudes incorporating full spin dependence using Regge theory at high energies.

Findings

Model accurately describes available scattering data

Provides a relativistic framework for spin-dependent amplitudes

Extends the applicability of Regge theory to high-energy nucleon interactions

Abstract

There are currently no models readily available that provide nucleon-nucleon spin dependent scattering amplitudes at high energies ($s \geq 6$ $ GeV^2$). This work aims to provide a model for calculating these high energy scattering amplitudes. The foundation of the model is Regge theory since it allows for a relativistic description and full spin dependence. We present our parameterization of the amplitudes, and show comparisons of our solutions to the data set we have collected. Overall the model works as intended, and provides an adequate description of the scattering amplitudes.