Ground State Hyperfine Structure of Muonic Helium 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 $(\mu e_2^{4}He)$. We obtain total result for the ground state hyperfine splitting $\Delta {\nu }^{hfs}=4465.526$ MHz which improves the previous calculation of Lakdawala and Mohr due to the account of new corrections. The remaining difference between the theoretical result and experimental value of the hyperfine splitting equal to 0.522 MHz lies in the range of theoretical error and requires the subsequent investigation of higher order corrections.

Talk presented at the scientific session-conference of Nuclear Physics Department RAS "Physics of fundamental interactions", 25-30 November 2007, ITEP, Moscow, 18 pages, 5 figures

References in corpus (7)

• Theory of Light Hydrogenlike Atoms
• Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
• 2S Hyperfine splitting of muonic hydrogen
• Lamb shift in muonic helium ion
• Hyperfine Structure of S-States in Muonic Helium Ion
• Theory of muonic hydrogen - muonic deuterium isotope shift
• Corrections of order (Zα)^6 m_e^2/m_μin the muonium fine structure

Cited by in corpus (8)

• Improved Measurements of Muonic Helium Ground-State Hyperfine Structure at a Near-Zero Magnetic Field
• Hyperfine structure of the ground state muonic He-3 atom
• 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 of light muon-electron ions
• Application of hyperspherical harmonics expansion method to the low-lying bound S-states of exotic two-muon three-body systems
• Ground state hyperfine structure in muonic lithium ions
• Hyperspherical three-body model calculation for the bound ${}^{1,3}$S-states of Coulombic systems