Derivation of Relativistic Yakubovsky Equations under Poincar\'e Invariance

TL;DR

This paper derives relativistic four-nucleon scattering equations incorporating three-body forces, expressed in momentum space, and demonstrates iterative methods for boosted potentials and forces.

Contribution

It introduces relativistic Yakubovsky equations with three-body forces in momentum space, advancing the theoretical framework for four-nucleon scattering.

Findings

Derived relativistic four-nucleon equations including 3-body forces

Presented momentum space representation of the equations

Demonstrated iterative method for boosted potentials and forces

Abstract

Relativistic Faddeev-Yakubovsky four-nucleon scattering equations are derived including a 3-body force. We present these equations in the momentum space representation. The quadratic integral equations using the iteration method, in order to obtain boosted potentials and 3-body force, are demonstrated.