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.
Categories: hep-ph