Hyperfine structure of the ground state muonic He-3 atom

Abstract

On the basis of the perturbation theory in the fine structure constant $\alpha$ and the ratio of the electron to muon masses we calculate one-loop vacuum polarization and electron vertex corrections and the nuclear structure corrections to the hyperfine splitting of the ground state of muonic helium atom $(\mu e{}_2^{3}He)$. We obtain total result for the ground state hyperfine splitting $\Delta {\nu }^{hfs}=4166.471$ MHz which improves the previous calculation of Lakdawala and Mohr due to the account of new corrections of orders ${\alpha }^5$ and ${\alpha }^6$. The remaining difference between our theoretical result and experimental value of the hyperfine splitting lies in the range of theoretical and experimental errors and requires the subsequent investigation of higher order corrections.

Talk on poster section of XXIV spectroscopy congress, 28 February-5 March 2010, Moscow-Troitsk, Russia, 21 pages, LaTeX, 8 figures

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• Theory of Light Hydrogenlike Atoms
• Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
• Nonrelativistic QED approach to the Lamb shift
• 2S Hyperfine splitting of muonic hydrogen
• Muonic hydrogen ground state hyperfine splitting
• Lamb shift in muonic helium ion
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• Corrections of order (Zα)^6 m_e^2/m_μin the muonium fine structure
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• Fine and hyperfine structure of the muonic ^3He ion
• 4th order similarity renormalization of a model hamiltonian
• One-loop corrections of order (Z alpha)^6m_1/m_2, (Z alpha)^7 to the muonium fine structure

Cited by in corpus (3)

• Hyperfine structure of excited state of muonic helium atom
• Low-lying electron energy levels in three-particle electron-muon ions $(\mu eLi)$, $(\mu eBe)$, $(\mu eB)$
• Ground state hyperfine structure in muonic lithium ions