Pre-Born-Oppenheimer Dirac-Coulomb-Breit computations for two-body systems

Abstract

The sixteen-component, no-pair Dirac--Coulomb--Breit equation, derived from the Bethe--Salpeter equation, is solved in a variational procedure using Gaussian-type basis functions for the example of positronium, muonium, hydrogen atom, and muonic hydrogen. The $\alpha$ fine-structure-constant dependence of the variational energies, through fitting a function of ${\alpha }^n$ and ${\alpha }^n\text{ln}\alpha$ terms, shows excellent agreement with the relevant energy expressions of the (perturbative) non-relativistic QED framework, and thereby, establishes a solid reference for the development of a computational relativistic QED approach.

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Cited by in corpus (5)

• Bound-state relativistic quantum electrodynamics: a perspective for precision physics with atoms and molecules
• Regularized relativistic corrections for polyelectronic and polyatomic systems with explicitly correlated Gaussians
• QED corrections to the correlated relativistic energy: one-photon processes
• One-particle operator representation over two-particle basis sets for relativistic QED computations
• Double-pair Coulomb and Breit photon correction to the correlated relativistic energy