# Evaluation of the screened QED corrections to the g factor and the hyperfine splitting of lithiumlike ions 

D. A. Glazov, 1 , 2 A. V. Volotka, 1 , 2 V. M. Shabaev, 1 I. I. Tupitsyn, 1 and G. Plunien 2 

1 Department of Physics, St. Petersburg State University, Oulianovskaya 1, Petrodvorets, St. Petersburg 198504, Russia 

2 Institut f¨ ur Theoretische Physik, Technische Universit¨ at Dresden, Mommsenstraße 13, D-01062 Dresden, Germany 

## Abstract 

The screened QED corrections of the first orders in α and 1 /Z to the g factor and the hyperfine splitting of lithiumlike ions are evaluated within ab initio quantum electrodynamical approach. The complete gauge- invariant set of the two-electron self-energy diagrams in the presence of the magnetic field and a dominant part of the two-electron vacuum-polarization diagrams are calculated. The most accurate values of the g factor of Li-like lead and uranium are presented. The theoretical prediction for the specific difference of the hyperfine splittings of H- and Li-like bismuth is improved. 

PACS numbers: 12.20.Ds, 31.30.Jv, 31.30.Gs 

