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

Dávid Ferenc and Edit Mátyus*

  • ELTE, Eötvös Loránd University, Institute of Chemistry, Pázmány Péter Sétány 1/A, Budapest H-1117, Hungary

  • *edit.matyus@ttk.elte.hu
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Phys. Rev. A 107, 052803 – Published 10 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.052803

Abstract

The 16-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 α fine-structure-constant dependence of the variational energies, through fitting a function of αn and αnlnα terms, shows excellent agreement with the relevant energy expressions of the (perturbative) nonrelativistic QED framework and thereby establishes a solid reference for the development of a computational relativistic QED approach.

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Phys. Rev. A 107, 052803– Published 10 May, 2023
  • Received 31 January 2023
  • Revised 19 March 2023
  • Accepted 21 April 2023
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