Binding Energy in Two and Three-Body Relativistic Dynamics

TL;DR

This paper investigates the binding energy in two- and three-body scalar boson systems using covariant constraint dynamics, deriving an eigenvalue equation related to the relative motion.

Contribution

It introduces a novel eigenvalue framework connecting the reduced equations in covariant constraint dynamics to the binding energy of multi-body scalar boson systems.

Findings

Derived an eigenvalue equation linked to binding energy.

Established the connection between reduced equations and relative motion.

Applied the framework to two- and three-body scalar boson systems.

Abstract

Two-body and three-body systems of scalar bosons are considered in the framework of covariant constraint dynamics. The reduced equation obtained after eliminating redundant degrees of freedom can be viewed as an eigenvalue equation for an observable which is intimately related with the relative motion. We display the connection of this observable with binding energy.