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arXiv · 1311.5784

The $\alpha^2(Z\alpha)^4m$ contributions to the Lamb shift and the fine structure in light muonic atoms

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

Corrections to energy levels in light muonic atoms are investigated in order $\alpha^2(Z\alpha)^4m$. We pay attention to corrections which are specific for muonic atoms and include the electron vacuum polarization loop. In particular, we calculate relativistic and relativistic-recoil two-loop electron vacuum polarization contributions. The results are obtained for the levels with $n=1,2$ and in particular for the Lamb shift ($2p_{1/2}-2s_{1/2}$) and fine-structure intervals ($2p_{3/2}-2p_{1/2}$) in muonic hydrogen, deuterium, and muonic helium ions.

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Evgeny Yu. Korzinin, Vladimir G. Ivanov, Savely G. Karshenboim. 2013-11-22. The $\alpha^2(Z\alpha)^4m$ contributions to the Lamb shift and the fine structure in light muonic atoms. https://doi.org/10.1103/physrevd.88.125019

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