https://doi.org/10.1051/epjconf/201922203010
Effects of light-by-light scattering in the Lamb shift and hyperfine structure of muonic hydrogen
1
Joint Institute of Nuclear Research, BLTP,
141980,
Moscow region, Dubna,
Russia
2
Samara University,
443086,
Samara,
Russia
3
Matrosov Institute for System Dynamics and Control Theory SB RAS,
664033,
Irkutsk,
Russia
* e-mail: dorokhov@theor.jinr.ru
** e-mail: a.p.martynenko@samsu.ru
*** e-mail: f.a.martynenko@gmail.com
**** e-mail: aradzh@icc.ru
Published online: 19 November 2019
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 ΓMeson→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.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
