Ground State Hyperfine Structure of Muonic Helium Atom
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On the basis of the perturbation theory in the fine structure constant $α$ 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 $(μe ^4_2He)$. We obtain total result for the ground state hyperfine splitting $Δν^{hfs}=4465.526$ 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
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