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Polarization operator contributions to the Lamb shift and hyperfine splitting

Polarization operator contributions to the Lamb shift and hyperfine splitting

We calculate radiative corrections to the Lamb shift of order ${\ensuremath{\alpha}}^{3}(Z\ensuremath{\alpha}{)}^{5}m$ and radiative corrections to hyperfine splitting of order ${\ensuremath{\alpha}}^{3}(Z\ensuremath{\alpha}{)E}_{F}$ generated by the diagrams with insertions of radiative photons and electron polarization loops in the graphs with two external photons. We also obtain the radiative-recoil correction to hyperfine splitting in …