Relativistic recoil effects on energy levels in a muonic atom: A Grotch-type calculation of the second-order vacuum-polarization contributions

Savely G. Karshenboim, Evgeny Yu. Korzinin, and Vladimir G. Ivanov
Phys. Rev. A 89, 032129 – Published 31 March 2014

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 α2(Zα)4m2/M 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%.

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  • Received 22 November 2013

DOI:https://doi.org/10.1103/PhysRevA.89.032129

©2014 American Physical Society

Authors & Affiliations

Savely G. Karshenboim*

  • Max-Planck-Institut für Quantenoptik, Garching, 85748, Germany and Pulkovo Observatory, St. Petersburg, 196140, Russia

Evgeny Yu. Korzinin

  • D. I. Mendeleev Institute for Metrology, St. Petersburg, 190005, Russia

Vladimir G. Ivanov

  • Pulkovo Observatory, St. Petersburg, 196140, Russia

  • *savely.karshenboim@mpq.mpg.de

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Vol. 89, Iss. 3 — March 2014

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