1S-2S energy shift in muonic hydrogen

R. N. Faustov; A. A. Krutov; A. P. Martynenko; F. A. Martynenko; O. S. Sukhorukova

doi:10.1051/epjconf/201920405005

EPJ

a
b
d
e
ap
st
h
plus

Proceedings

Open Access

EPJ Web of Conferences 204, 05005 (2019)
https://doi.org/10.1051/epjconf/201920405005

1S-2S energy shift in muonic hydrogen

R. N. Faustov¹^*, A. A. Krutov²^**, A. P. Martynenko²^***, F. A. Martynenko² and O. S. Sukhorukova²

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

Abstract

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.