Explicit Bound State Description of Particles, Application to p-e- and e+-e- Systems

TL;DR

This paper introduces a bound state model based on a modified QED Lagrangian to describe particles like p-e- and e+-e- systems, achieving results consistent with known energies and fundamental constants from first principles.

Contribution

It presents a novel explicit bound state approach incorporating photon-photon coupling, providing parameter-free predictions aligned with established physical quantities.

Findings

Binding energies match Coulomb energies

Radii are in general agreement with other models

Sum of coupling strengths approximates alpha_QED

Abstract

Based on a QED Lagrangian with additional photon-photon coupling an explicit bound state description is presented, attempting a physical correct and parameter free description of free particles. Applied to p-e- and e+-e- systems, with a "harmonic" boundary condition the deduced binding energies are consistent with Coulomb energies and radii in general agreement with other models. The sum of partial coupling strengths is in good agreement with alpha_QED sim 1/137, showing that this important constant can be deduced from first principles.