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arXiv · 1909.10929

Vacuum polarization corrections to the $n=2$ and $n=3$ levels in muonic $^4$He

Wayne W. Repko·Stanley F. Radford·Duane A. Dicus
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Abstract

The $n=2$ and $n=3$ levels for muonic Helium are calculated using a potential that includes all one-loop and recoil effects. Electronic vacuum polarization corrections are calculated using an extension of Kinoshita and Nio method. For $n=2$, the results are $2p_{1/2}-2s_{1/2}=1375.05\pm 1.4$ meV and $2p_{3/2}-2s_{1/2}=1521.65\pm 1.4$ meV, essentially in agreement with the latest summary of the current calculations. The $n=3$ results are summarized in tabular form and give $3p_{1/2}-3s_{1/2}=394.76\pm 0.43$ meV and $3d_{3/2}-3p_{3/2}=111.40$ meV.

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Wayne W. Repko, Stanley F. Radford, Duane A. Dicus. 2019-09-24. Vacuum polarization corrections to the $n=2$ and $n=3$ levels in muonic $^4$He. https://doi.org/10.1103/physrevd.101.053005

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