arXiv · hep-ph/9801384
Second Order in Mass Ratio Radiative-Recoil Corrections to Hyperfine Splitting in Muonium
Abstract
Radiative-recoil corrections to hyperfine splitting in muonium of orders $α(Zα)(m/M)^2E_F$ and $(Z^2α)(Zα)(m/M)^2E_F$ are calculated. These corrections are of the second order in the small electron-muon mass ratio. An analytic expression $[(-6 \ln2- \frac{3}{4})α(Zα) - \frac{17}{12} (Z^2 α) (Zα)](\frac{m}{M})^2 E_F$ is obtained. Numerically the correction is equal to $-0.0351\:\mbox{kHz}$ and is of the same order of magnitude as the expected accuracy of the current Los Alamos experiment to measure the hyperfine splitting.
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Michael I. Eides, Howard Grotch, Valery A. Shelyuto. 1998-05-08. Second Order in Mass Ratio Radiative-Recoil Corrections to Hyperfine Splitting in Muonium. https://doi.org/10.1103/physrevd.58.013008
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