Effects of light-by-light scattering in the Lamb shift and hyperfine structure of muonic hydrogen

We calculate the meson exchange contribution to the interaction operator of muon and proton, which is determined by the meson coupling with two photon state. For the construction of transition form factor Meson → γγ we use the existing parametrizations based on experimental data including the monopo...

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Bibliographic Details
Published in:EPJ Web of conferences 2019, Vol.222, p.3010
Main Authors: Dorokhov, A. E., Martynenko, A. P., Martynenko, F. A., Radzhabov, A. E.
Format: Article
Language:English
Subjects:
Exchanging
Form factors
Hyperfine structure
Light scattering
Mathematical analysis
Mesons
Parameterization
Photons
Tensors
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Summary:We calculate the meson exchange contribution to the interaction operator of muon and proton, which is determined by the meson coupling with two photon state. For the construction of transition form factor Meson → γγ we use the existing parametrizations based on experimental data including the monopole parametrization over photon four-momenta. For an estimate of the form factor value atzero photon four-momenta squared we use experimental data on the decay width Γ Meson → γγ . It is shown that scalar, pseudoscalar, axial vector and tensor mesons exchanges give significant contribution to the Lamb shift (LS) and hyperfine splitting (HFS) in muonic hydrogen which should be taken into account for a comparison with precise experimental data.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201922203010