Application of the Bethe-Salpeter Equation to Mesonic Atoms

TL;DR

This paper applies the Bethe-Salpeter equation within quantum electrodynamics to accurately compute bound state energies in mesonic atoms, accounting for finite size effects and recoil corrections.

Contribution

It introduces a generalized approach for calculating mesonic atom energies, including finite size and recoil effects, extending previous models.

Findings

Accurate bound state energies for mesonic atoms are obtained.

Finite size and recoil corrections are incorporated to all orders.

Results applicable to kaonic and pionic atoms.

Abstract

We use quantum electrodynamics and the Bethe-Salpeter equation to calculate the bound state energies for a two-particle system comprised of a spin-0 and spin-1/2 particle. We generalize our treatment to include the finite size of the nucleus and of the meson and our results can be applied to kaonic and pionic atoms. Our treatment includes quantum electrodynamics and recoils corrections to all orders.