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

All issues

Volume 204 (2019)

EPJ Web Conf., 204 (2019) 05005

Abstract

Open Access

Issue		EPJ Web Conf. Volume 204, 2019 XXIV International Baldin Seminar on High Energy Physics Problems “Relativistic Nuclear Physics and Quantum Chromodynamics” (Baldin ISHEPP XXIV)


Article Number		05005
Number of page(s)		6
Section		Structure Functions of Hadrons and Nuclei
DOI		https://doi.org/10.1051/epjconf/201920405005
Published online		03 April 2019

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 $((μ_{2}^{3} H e) +)$ $((\mu _2^3He) + )$ . 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.

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.

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