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Korzinin, Evgeny Yu.; Shelyuto, Valery A.; Ivanov, Vladimir G.; Szafron, Robert; Karshenboim, Savely G. (2018): Light-by-light-scattering contributions to the Lamb shift in light muonic atoms. In: Physical Review A, Vol. 98, No. 6, 62519
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Abstract

We consider one-loop light-by-light-scattering contributions to the Lamb shift of the 1s, 2s, 2p states in light muonic hydrogenlike atoms at Z <= 10. The contributions are of the order alpha(5)m(mu) (with diverse dependence on the nuclear charge Z). Those include the contributions of the so-called Wichmann-Kroll potential [alpha(Z alpha)(4)m(mu)], the virtual Delbruck scattering [alpha(2)(Z alpha)(3)m(mu)], etc. The results are obtained in a nonrelativistic approximation. For the calculation of the virtual-Delbruck-scattering contribution, we have constructed an effective potential in the coordinate space which may be applied to other calculations in muonic atoms.