Theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen

Abstract

The 7 standard deviations between the proton rms charge radius from muonic hydrogen and the CODATA-10 value from hydrogen spectroscopy and electron-scattering has caused considerable discussions. Here, we review the theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen combining the published contributions and theoretical approaches. The prediction of these quantities is necessary for the determination of both proton charge and Zemach radii from the two 2S-2P transition frequencies measured in muonic hydrogen.

20 pages with 3 Tables summarising the contributions to the muonic hydrogen Lamb shift and hyperfine splitting

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Cited by in corpus (89)

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• QCD and strongly coupled gauge theories: challenges and perspectives
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• The Proton Radius Puzzle
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• Two-photon exchange corrections in elastic muon-proton scattering
• Nucleon spin-averaged forward virtual Compton tensor at large $Q^2$
• The proton radius (puzzle?) and its relatives
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• The Lamb shift in muonic hydrogen and the proton radius from effective field theories
• Dispersion Theory in Electromagnetic Interactions
• Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions
• Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
• The next generation of laser spectroscopy experiments using light muonic atoms
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H
• The ${\alpha }^2(Z\alpha {)}^{4}m$ contributions to the Lamb shift and the fine structure in light muonic atoms
• Hyperfine structure of S-states in muonic deuterium
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• Restrained Dark $U(1{)}_d$ at Low Energies
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