Abstract

On the basis of quasipotential method in quantum electrodynamics we calculate corrections of order α5α^5 and α6α^6 to hyperfine structure of S-wave energy levels of muonic deuterium. Relativistic corrections, effects of vacuum polarization in first, second and third orders of perturbation theory, nuclear structure and recoil corrections are taken into account. The obtained numerical values of hyperfine splitting ΔEhfs(1S)=50.2814ΔE^{hfs}(1S)=50.2814 meV (1S state) and ΔEhfs(2S)=6.2804ΔE^{hfs}(2S)=6.2804 meV (2S state) represent reliable estimate for a comparison with forthcoming experimental data of CREMA collaboration. The hyperfine structure interval Δ12=8ΔEhfs(2S)−ΔEhfs(1S)=−0.0379Δ_{12}=8ΔE^{hfs}(2S)-ΔE^{hfs}(1S)=-0.0379 meV can be used for precision check of quantum electrodynamics predictions for muonic deterium.

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