SPARC Topical Workshop 2016

High-precision measurements of the isotope shifts in heavy ions, that are anticipated at the FAIR facilities, will give a unique possibility for tests of QED in a new region: strong-coupling regime beyond the Furry picture. In addition, these studies will allow determination of the nuclear charge radius differences for radioactive isotopes with a lifetime longer than about 1 min. These investigations require high-precision calculations of the isotope shifts, including the relativistic and QED effects. Such calculations were performed for Li-like ions in Ref. [1] and for B-like ions in Ref. [2]. [1] N. A. Zubova et al., Phys. Rev. A 90, 062512 (2014). [2] N. A. Zubova et al., Phys. Rev. A 93, 052502 (2016).