Second Order in Mass Ratio Radiative-Recoil Corrections to Hyperfine Splitting in Muonium

Details Second Order in Mass Ratio Radiative-Recoil Corrections to Hyperfine Splitting in Muonium Second Order in Mass Ratio Radiative-Recoil Corrections to Hyperfine Splitting in Muonium

1998-01-21

arxiv.org/abs/hep-ph/9801384v2

Phys.Rev.D58:013008,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex, 19 pages, 3 tables; two references added, no other changes

Scientific paper

10.1103/PhysRevD.58.013008

Radiative-recoil corrections to hyperfine splitting in muonium of orders $\alpha(Z\alpha)(m/M)^2E_F$ and $(Z^2\alpha)(Z\alpha)(m/M)^2E_F$ are calculated. These corrections are of the second order in the small electron-muon mass ratio. An analytic expression $[(-6 \ln2- \frac{3}{4})\alpha (Z\alpha) - \frac{17}{12} (Z^2 \alpha) (Z\alpha)](\frac{m}{M})^2 E_F$ 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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