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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 2, Pages 270–282 (Mi vsgtu1375)  

Differential Equations and Mathematical Physics

Hyperfine structure of muonic lithium ions

A. P. Martynenkoab, A. A. Ulybina

a Samara State University, Samara, 443011, Russian Federation
b Samara State Aerospace University, Samara, 443086, Russian Federation

Abstract: On the basis of perturbation theory in fine structure constant $\alpha$ and the ratio of electron to muon masses we calculate recoil corrections of order $\alpha^4 (M_e/M_\mu)$, $\alpha^4 (M_e/M_\mu)^2\ln(M_e/M_\mu)$, $\alpha^4 (M_e/M_\mu)^2$, $\alpha^5(m_e/m_\mu)\ln(m_e/m_\mu)$ to hyperfine splitting of the ground state in muonic lithium ions $(\mu e ^6_3\mathrm{Li})^+$ and $(\mu e ^7_3\mathrm{Li})^+$. We obtain total results for the ground state small hyperfine splittings in $(\mu e ^6_3\mathrm{Li})^+$ $\Delta\nu_1=14153.03$ MHz and $\Delta\nu_2=21571.26$ MHz and in $(\mu e ^7_3\mathrm{Li})^+$ $\Delta\nu_1=13991.97$ MHz and $\Delta\nu_2=21735.03$ MHz which can be considered as a reliable estimate for a comparison with future experimental data.

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.

Author to whom correspondence should be addressed

DOI: https://doi.org/10.14498/vsgtu1375

Full text: PDF file (772 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 539.184.26
MSC: 74E35, 74K20
Original article submitted 16/XII/2014
revision submitted – 29/I/2015

Citation: A. P. Martynenko, A. A. Ulybin, “Hyperfine structure of muonic lithium ions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:2 (2015), 270–282

Citation in format AMSBIB
\Bibitem{MarUly15}
\by A.~P.~Martynenko, A.~A.~Ulybin
\paper Hyperfine structure of muonic lithium ions
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2015
\vol 19
\issue 2
\pages 270--282
\mathnet{http://mi.mathnet.ru/vsgtu1375}
\crossref{https://doi.org/10.14498/vsgtu1375}
\zmath{https://zbmath.org/?q=an:06968961}
\elib{http://elibrary.ru/item.asp?id=24078304}


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