https://doi.org/10.1051/epjconf/201920405005
1S-2S energy shift in muonic hydrogen
1 FRC Computer Science and Control RAS, 119991, Moscow, Russia
2 Samara National Research University named after S. P. Korolev, 443086, Samara, Russia
* e-mail: faustov@ccas.ru
** e-mail: aakrutov@rambler.ru
*** e-mail: a.p.martynenko@samsu.ru
Published online: 3 April 2019
We calculate corrections of orders α4, α5, α6 to the (1S – 2S) fine structure interval in muonic hydrogen (μp), muonic tritium (μt) and muonic helium ion 
. They are determined by the effects of vacuum polarization, nuclear structure and recoil and relativistic corrections. The nuclear structure effects are taken into account in terms of the charge radii of the nuclei in one-photon interaction and in terms of electromagnetic form-factors in the case of two-photon interaction. The obtained results for the (1S – 2S) splitting can be used for a comparison with future 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 (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
