Erlangen 2018 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 33: Poster Session II
A 33.3: Poster
Mittwoch, 7. März 2018, 16:15–18:15, Redoutensaal
Two-loop corrections to the bound electron g factor: contribution of light-by-light scattering — •Vincent Debierre, Bastian Sikora, Halil Cakir, Natalia S. Oreshkina, Zoltán Harman, and Christoph H. Keitel — Max Planck Institute for Nuclear Physics, Saupfercheckweg 1, 69117 Heidelberg
We report on the computation of a specific set of two-loop corrections to the bound-electron g factor. Diagrams belonging to this set involve the scattering of the external magnetic field in the Coulomb field of the ionic nucleus, which represents the lowest nonvanishing order of the so-called magnetic loop. We have looked at the electric loop (EL)+magnetic loop (ML) diagram and the self-energy(SE)+magnetic loop diagrams. We restrict ourselves to the 1S ground state, and our approach, which treats the binding of the electron to the nucleus at all orders, is hence valid for highly charged, high-Z ions.
We announce full results on the EL-ML diagram, and partial results on the vertex (analytical and subsequent numerical results for the zero-potential term) and the non-vertex (full contribution from the energy-type (or reducible) correction) SE-ML diagrams. The numerical values obtained so far indicate corrections to the g factor of order up to 10−8 for the largest contribution (electric loop+magnetic loop), in the case of 82Pb, values that could be observed in principle in upcoming experiments such as ALPHATRAP and HITRAP.