Abstract
A rigorous QED evaluation of the two-photon exchange corrections to the g factor of lithiumlike ions is presented. The screened self-energy corrections are calculated for the intermediate- region and its accuracy for the high- region is essentially improved in comparison with that of previous calculations. As a result, the theoretical accuracy of the g factor of lithiumlike ions is significantly increased. The theoretical prediction obtained for the g factor of Si is in an excellent agreement with the corresponding experimental value [A. Wagner et al., Phys. Rev. Lett. 110, 033003 (2013)].
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