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arXiv · 1311.5790

Relativistic recoil effects for energy levels in a muonic atom within a Grotch-type approach: An application to the one-loop electronic vacuum polarization

Vladimir G. Ivanov·Evgeny Yu. Korzinin·Savely G. Karshenboim
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Abstract

We continue our account of relativistic recoil effects in muonic atoms and present explicitly analytic results at first order in electron-vacuum-polarization effects. The results are obtained within a Grotch-type approach based on an effective Dirac equation. Some expressions are cumbersome and we investigate their asymptotic behavior. Previously relativistic two-body effects due to the one-loop electron vacuum polarization were studied by several groups. Our results found here are consistent with the previous result derived within a Breit-type approach (including ours) and disagree with a recent attempt to apply a Grotch-type approach.

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Vladimir G. Ivanov, Evgeny Yu. Korzinin, Savely G. Karshenboim. 2014-04-03. Relativistic recoil effects for energy levels in a muonic atom within a Grotch-type approach: An application to the one-loop electronic vacuum polarization. https://doi.org/10.1103/physreva.89.022103

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