Poincare Invariant Three-Body Scattering

TL;DR

This paper develops a Poincaré invariant quantum mechanical approach to solve relativistic three-body scattering equations directly in momentum space, providing a new framework that compares relativistic and non-relativistic results.

Contribution

It introduces a method to solve relativistic Faddeev equations without partial wave decomposition, incorporating Poincaré invariance for three-body scattering at arbitrary energies.

Findings

Relativistic calculations differ from non-relativistic ones in scattering observables.

The approach successfully computes elastic and breakup scattering observables.

Relativistic effects are significant at higher energies.

Abstract

Relativistic Faddeev equations for three-body scattering are solved at arbitrary energies in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated withing the framework of Poincar\'e invariant quantum mechanics. Based on a Malfliet-Tjon interaction, observables for elastic and breakup scattering are calculated and compared to non-relativistic ones.