Excited States Of Positronium From The Two Body Dirac Equations Of Constraint

TL;DR

This paper calculates positronium excited state energies using two-body Dirac equations, comparing nonperturbative and perturbative methods, and corrects previous literature misprints.

Contribution

It introduces a nonperturbative approach to positronium energy calculations and clarifies previous literature errors.

Findings

Nonperturbative results are compared to perturbative ones.

Equations for J=0 states are analyzed and compared to alternative models.

Misprints in existing literature are identified and corrected.

Abstract

The binding energies of the excited states of positronium are calculated using the two body Dirac equations of constraint formalism. The results from nonperturbative evaluation are compared to those from perturbative evaluation. The equations for decoupled sates with J=0 are compared to an alternate formulation of the model. Some misprints in the literature are identified and corrected.