Erlangen 2018 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 32: Precision Spectroscopy IV - highly charged ions (joint session A/Q)
Q 32.5: Talk
Tuesday, March 6, 2018, 15:15–15:30, K 1.016
Two-loop corrections to the bound-electron g-factor — •Bastian Sikora1, Natalia S. Oreshkina1, Halil Cakir1, Vladimir A. Yerokhin2, Christoph H. Keitel1, and Zoltán Harman1 — 1Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany — 2Center for Advanced Studies, Peter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, Russia
The g-factor of electrons bound in H-like ions can be measured and calculated with high accuracy. Comparisons between the theoretical and experimental values of the g-factor allow precision tests of QED and the determination of fundamental constants such as the electron mass or the fine-structure constant α [1].
In order to achieve high accuracy in theoretical predictions in heavy ions, the interaction with the nuclear potential needs to be taken into account to all orders in Z α. Currently, the largest theoretical uncertainty arises from the two-loop self-energy corrections. We present all-order evaluations of the loop-after-loop self-energy contributions, and partial results for other diagrams, in which we treat the Coulomb interaction in intermediate states to zero and first order. – [1] V. A. Yerokhin, E. Berseneva, Z. Harman et al., Phys. Rev. Lett. 116 100801 (2016).