Two-photon exchange correction to the hyperfine splitting in muonic hydrogen

Abstract

We reevaluate the Zemach, recoil and polarizability corrections to the hyperfine splitting in muonic hydrogen expressing them through the low-energy proton structure constants and obtain the precise values of the Zemach radius and two-photon exchange (TPE) contribution. The uncertainty of TPE correction to S energy levels in muonic hydrogen of 105 ppm exceeds the ppm accuracy level of the forthcoming 1S hyperfine splitting measurements at PSI, J-PARC and RIKEN-RAL.

Comments: 17 pages, 4 figures, version published in Eur. Phys. J. C, 77, no. 12, 858 (2017)