Abstract
Adjusting a previously developed Grotch-type approach to a perturbative calculation of the electronic vacuum-polarization effects in muonic atoms, we find here the two-loop vacuum-polarization relativistic recoil correction of order in light muonic atoms. The result is in perfect agreement with the one previously obtained within the Breit-type approach. We also discuss here simple approximations of the irreducible part of the two-loop vacuum-polarization dispersion density, which are applied to test our calculations and could be useful for other evaluations with an uncertainty better than 1%.
- Received 22 November 2013
DOI:https://doi.org/10.1103/PhysRevA.89.032129
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