Dirac-Fock method for muonic atoms: Transition energies, wave functions, and charge densities

Abstract

We have performed Dirac-Fock calculations for a variety of muonic atoms. The muon is explicitly included in the self-consistent field theory, and electron exchange is treated exactly. Wave functions and energies are obtained for a variety of sample systems ranging from light to heavy ions, using finite models of the nucleus. The problem of angular momentum coupling schemes for muonic atoms is discussed. Results presented include comparison of Dirac-Fock and Dirac-Slater models, the effect of the inclusion of the Breit operator and the Lamb shift as perturbations, contributions of electron screening and relaxation to muon transition energies, and the dependence of screening on muonic angular momentum.