Fine and hyperfine structure of P-levels in muonic hydrogen

Abstract

Corrections of orders ${\alpha }^5$ and ${\alpha }^6$ are calculated in the fine structure interval $\Delta E^{fs}=E(2P_{3/2})-E(2P_{1/2})$ and in the hyperfine structure of the energy levels $2P_{1/2}$ and $2P_{3/2}$ in muonic hydrogen. The obtained numerical values $\Delta E^{fs}=8352.08\mu eV$, $\Delta {\tilde{E}}^{hfs}(2P_{1/2})=7964.36\mu eV$, $\Delta {\tilde{E}}^{hfs}(2P_{3/2})=3392.59\mu eV$ can be considered as a reliable estimate for the comparison with corresponding experimental data and for the extraction of the experimental value of the Lamb shift $(2P-2S)$ in muonic hydrogen.

arXiv comment15 pages, 4 figures