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The hyperfine structure of highly charged lithiumlike ions is considered within QED using the z perturbation theory (Z is the nuclear charge). The interelectronic interaction contribution of the order of & to the hyperfine splitting of the ground state is calculated in the range Z = 5 -100. The hyperfine splitting values are found for the ground state of Fe + and Bi +.PACS number(s): 31.30. Gs, 31.30.Jv, 12.20.Ds

The ground state hyperfine splitting values and the transition probabilities between the hyperfine structure components of high Z lithiumlike ions are calculated in the range Z = 49 − 83. The relativistic, nuclear, QED and interelectronic interaction corrections are taken into account. It is found that the Bohr-Weisskopf effect can be eliminated in a combination of the hyperfine splitting values of the hydrogenlike and lithiumlike ions of an isotope. This gives a possibility for testing the QED effects in a combination of the strong electric and magnetic fields of the heavy nucleus. Using the experimental result for the 1s hyperfine splitting in 209 Bi 82+ , the 2s hyperfine splitting in 209 Bi 80+ is calculated to be ∆E = 0.7969 (2) eV. PACS number(s): 31.30.Gs, 31.30.Jv Recently, laser spectroscopic measurements of the ground state hyperfine splitting in high Z hydrogenlike ions became possible at ESR [1] and at the Super-EBIT [2]. The present status of theory of the hyperfine splitting in high Z hydrogenlike ions is discussed in [3]. One of possible directions of further experiments is an extension of the investigations to high Z lithiumlike ions. Recently the hyperfine structure values of lithiumlike ions were calculated in the range Z = 7 − 30 [4] in connection with astrophysical search and for 209 Bi 80+ (without the QED correction) [5] in connection with experiments at GSI [1]. In Sec. 2 of the present paper we refine the calculation of [5] for 209 Bi 80+ , considering a more accurate treatment of the nuclear effects and taking into account the QED corrections, and extend it to lithiumlike ions in the range Z = 49 − 83, which are likely candidates for the experiments. In addition, a method based on using the experimental values of the 1s hyperfine splitting for determination of the Bohr-Weisskopf effect in the lithiumlike ions is proposed. This method is used to reduce the uncertainty of the ground state hyperfine splitting in 209 Bi 80+ and 165 Ho 64+ . It gives a possibility for testing the magnetic sector of QED. In Sec. 3 the transition probabilities between the hyperfine structure components are calculated.