Recoil corrections to $\mu$H hyperfine splitting

Abstract

This work attempts to present a complete theory of the $\mu$H hyperfine splitting, including all contributions above 1 ppm. Quantum electrodynamic and recoil corrections are calculated directly, while the proton structure correction is obtained with the help of the H hyperfine splitting. The resulting theoretical prediction for the ground state of $\mu$H is $E_{\mathrm{hfs}}=182626(5)$ $\mu$eV.

arXiv comment11 pages

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