Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen

Abstract

In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to rN2 from two-photon exchange amplitudes in the fine and hyperfine structure of P-states in muonic hydrogen, as well as the photon-photon interaction amplitudes, leading to the exchange of the axial vector meson. In constructing the quasipotential of the muon-nucleus interaction, we use the method of projection operators on states of two particles with a definite spin and total angular momentum. Analytical calculation of the matrix elements is performed and contributions to the fine and hyperfine structure of the 2 P1 / 2 and 2 P3 / 2 levels are obtained.