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

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.

arXiv comment7 Pages, 4 Tables. Updated version with changes in the introduction and minor changes in the notation

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Cited by in corpus (10)

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• $\text{Ab initio}$ electronic factors of the $A$ and $B$ hyperfine structure constants for the $5s^{2}5p6s{}^{1,3}{P}_1^{\mathrm{o}}$ states in Sn I
• QED calculations of the nuclear recoil effect in muonic atoms
• Nuclear Excitation by Muon Capture
• Revisiting the extraction of charge radii of ${}^{40}$Ca and ${}^{208}$Pb with muonic atom spectroscopy
• Access to improve the muon mass and magnetic moment anomaly via the bound-muon $g$ factor
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• Smallness of the nuclear polarization effect in the hyperfine structure of heavy muonic atoms as a stimulus for next-generation experiments