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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2015, Volume 19, Number 3, Pages 474–488 (Mi vsgtu1381)  

Differential Equations and Mathematical Physics

Hyperfine structure of $S$-states of muonic deuterium

A. P. Martynenkoab, G. A. Martynenkoa, V. V. Sorokina, R. N. Faustovc

a Samara State University, Samara, 443011, Russian Federation
b Samara State Aerospace University, Samara, 443086, Russian Federation
c Federal Research Center “Computer Science and Control” of Russian Academy of Sciences, Moscow, 119333, Russian Federation

Abstract: On the basis of quasipotential method in quantum electrodynamics we calculate corrections of order $\alpha^5$ and $\alpha^6$ to hyperfine structure of $S$-wave energy levels of muonic deuterium. Relativistic corrections, effects of vacuum polarization in first, second and third orders of perturbation theory, nuclear structure and recoil corrections are taken into account. The obtained numerical values of hyperfine splitting $\Delta E^{hfs}(1S)=50.2814$ meV ($1S$ state) and $\Delta E^{hfs}(2S)=6.2804$ meV ($2S$ state) represent reliable estimate for a comparison with forthcoming experimental data of CREMA collaboration. The hyperfine structure interval $\Delta_{12}=8\Delta E^{hfs}(2S)- \Delta E^{hfs}(1S)=-0.0379$ meV can be used for precision check of quantum electrodynamics prediction for muonic deuterium.

Keywords: quantum electrodynamics, hyperfine splitting, quasipotential method

Funding Agency Grant Number
Russian Foundation for Basic Research 14-02-00173-а
Ministry of Education and Science of the Russian Federation
This work has been supported by the Russian Foundation for Basic Research (project no. 14–02–00173-a) and by the Ministry of Education and Science of the Russian Federation in the framework of the implementation of the Program of increasing the competitiveness of SSAU among the world’s leading scientific and educational centers over the period from 2013 till 2020.


DOI: https://doi.org/10.14498/vsgtu1381

Full text: PDF file (810 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 517.958:539.1; 539.184.26
MSC: 74E35, 74K20
Original article submitted 17/XII/2014
revision submitted – 20/III/2015

Citation: A. P. Martynenko, G. A. Martynenko, V. V. Sorokin, R. N. Faustov, “Hyperfine structure of $S$-states of muonic deuterium”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:3 (2015), 474–488

Citation in format AMSBIB
\Bibitem{MarMarSor15}
\by A.~P.~Martynenko, G.~A.~Martynenko, V.~V.~Sorokin, R.~N.~Faustov
\paper Hyperfine structure of $S$-states of muonic deuterium
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2015
\vol 19
\issue 3
\pages 474--488
\mathnet{http://mi.mathnet.ru/vsgtu1381}
\crossref{https://doi.org/10.14498/vsgtu1381}
\zmath{https://zbmath.org/?q=an:06968977}
\elib{http://elibrary.ru/item.asp?id=24554659}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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