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 $r_N^2$ 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.

16 pages, 2 figures

References in corpus (11)

• The Proton Radius Puzzle
• New measurement of the $1S-3S$ transition frequency of hydrogen: contribution to the proton charge radius puzzle
• Two-Photon Physics in Hadronic Processes
• The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
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• Lamb shift in muonic ions of lithium, beryllium and boron
• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the Lamb shift in light muonic atoms
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen

Cited by in corpus (4)

• Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron
• Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors
• Exact Relations for Two-Photon-Exchange Effect in Elastic $ep$ Scattering by Dispersion Relation and Hadronic Model