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Description
Light-by-light contributions to the Lamb shift in light muonic atoms were some time ago considered in [1,2]. Those include the so called Wichmann-Kroll potential and the virtual Delbruck scattering in nonrelativistic approximation. The result for the latter was presented in term a few master integrals in momentum space with complicated spectral functions. Here we investigate the potential induced by virtual Delbruck scattering in coordinate space in static-muon approximation. We find asymptotics at low and large distances (comparing with the Compton wave length of electron) and give a simple Pade-appriximation for the related potential. The results have been recently published in [3].
[1] S. G. Karshenboim, E. Yu. Korzinin, V. G. Ivanov, and V. A. Shelyuto, Pis’ma v ZhETF 92, 9 (2010) [JETP Lett. 92, 8 (2010)].
[2] S. G. Karshenboim, V. G. Ivanov, E. Yu. Korzinin, and V. A. Shelyuto, Phys. Rev. A 81, 060501 (2010).
[3] E. Yu. Korzinin, V. A. Shelyuto, V. G. Ivanov, R. Szafron and S. G. Karshenboim, Phys. Rev. A 98, 062519 (2018).
