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

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.

Comments: 15 pages, 4 figures