Email this article Hyperfine structure of muonic lithium ions
- Authors: Martynenko A.P1, Ulybin A.A1
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Affiliations:
- Samara State University
- Issue: Vol 19, No 2 (2015)
- Pages: 270-282
- Section: Articles
- URL: https://bakhtiniada.ru/1991-8615/article/view/20455
- DOI: https://doi.org/10.14498/vsgtu1375
- ID: 20455
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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.
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##article.viewOnOriginalSite##About the authors
Alexei P Martynenko
Samara State University
Email: a.p.martynenko@samsu.ru
Dr. Phys. & Math. Sci. a.p.martynenko@samsu.ru; Corresponding Author), Professor, Dept. of General and Theoretical Physics 1, Academician Pavlov st., Samara, 443011, Russian Federation
Alexander A Ulybin
Samara State University
Email: Sasha_Ulybin_20.10.2011@mail.ru
Student, Dept. of General and Theoretical Physics 1, Academician Pavlov st., Samara, 443011, Russian Federation
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