Bound-state formalism for positronium

Gregory S. Adkins and Richard N. Fell
Phys. Rev. A 60, 4461 – Published 1 December 1999
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Abstract

In this work, a bound-state formalism appropriate for the study of positronium is presented. The formalism is based on a three-dimensional “quasipotential” equation derived from the Bethe-Salpeter equation. A reference kernel is proposed that contains the main physics of the nonrelativistic Coulomb bound state, and for which the quasipotential equation can be solved exactly. A perturbation theory for energy levels and decay rates based on this reference problem is described.

  • Received 15 April 1998

DOI:https://doi.org/10.1103/PhysRevA.60.4461

©1999 American Physical Society

Authors & Affiliations

Gregory S. Adkins

  • Franklin and Marshall College, Lancaster, Pennsylvania 17604

Richard N. Fell

  • Brandeis University, Waltham, Massachusetts 01742

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Issue

Vol. 60, Iss. 6 — December 1999

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