Solution of a Relativistic Three-Body Problem

TL;DR

This paper presents a method to solve the relativistic three-body problem unambiguously and unitarily using only particle and bound state masses, based on a relativistic s-wave scattering model.

Contribution

It introduces a novel approach to solve the relativistic three-body problem using minimal input parameters and ensures unitarity and clarity in the solution.

Findings

Provides a unambiguous, unitary solution method

Requires only particle and bound state masses as input

Applicable to relativistic three-body systems

Abstract

Starting from a relativistic s-wave scattering length model for the two particle input we construct an unambiguous, unitary solution of the relativistic three body problem given only the masses $m_a,m_b,m_c$ and the masses of the two body bound states $\mu_{bc},\mu_{ca},\mu_{ab}$.