Theoretical prediction of the Fine and Hyperfine structure of heavy muonic atoms

TL;DR

This paper provides theoretical predictions for the fine and hyperfine structures of heavy muonic atoms using relativistic quantum mechanics, including QED effects and nuclear structure considerations.

Contribution

It introduces a comprehensive relativistic approach that incorporates QED corrections, nuclear distributions, and recoil effects for heavy muonic atoms.

Findings

Calculated hyperfine splittings for 205 Bi, 147 Sm, and 89 Zr

Included vacuum polarization and nuclear distribution effects

Provided theoretical predictions for experimental comparison

Abstract

Precision calculations of the fine and hyperfine structure of muonic atoms are performed in a relativistic approach and results for muonic 205 Bi, 147 Sm, and 89 Zr are presented. The hyperfine structure due to magnetic dipole and electric quadrupole splitting is calculated in first order perturbation theory, using extended nuclear charge and current distributions. The leading correction from quantum electrodynamics, namely vacuum polarization in Uehling approximation, is included as a potential directly in the Dirac equation. Also, an effective screening potential due to the surrounding electrons is calculated, and the leading relativistic recoil correction is estimated.