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.

11 pages

References in corpus (6)

• The proton structure in and out of muonic hydrogen
• Comprehensive theory of the Lamb shift in light muonic atoms
• Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen
• Investigating the Proton Structure: The FAMU experiment
• Nuclear polarizability effects in ${}^3$He${}^{+}$ hyperfine splitting
• Two-loop corrections to Lamb shift and hyperfine splitting in hydrogen via multi-loop methods