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arXiv · 1804.09749

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

A. E. Dorokhov·N. I. Kochelev·A. P. Martynenko·F. A. Martynenko·A. E. Radzhabov
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Abstract

In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to $r_N^2$ 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 $2P_{1/2}$ and $2P_{3/2}$ levels are obtained.

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A. E. Dorokhov, N. I. Kochelev, A. P. Martynenko, F. A. Martynenko, A. E. Radzhabov. 2018-04-25. Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen. https://doi.org/10.1140/epja/i2018-12570-x

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