Abstract
The rigorous QED evaluation of the one- and two-photon exchange corrections to the ground-state hyperfine splitting in Li-like ions is presented for the wide range of nuclear charge number $Z= 7 - 82$. The calculations are carried out in the framework of the extended Furry picture, i.e., with inclusion of the effective local screening potential in the zeroth-order approximation. The interelectronic-interaction contributions of the third and higher orders are taken into account in the framework of the Breit approximation employing the recursive perturbation theory. In comparison to the previous theoretical calculations, the accuracy of the interelectronic-interaction contributions to the ground-state hyperfine splitting in Li-like ions is substantially improved.
Highlights
Investigations of the hyperfine structure in highly charged, few-electron ions, triggered by the first measurements in H-like ions [1,2,3,4,5], provide unique possibilities to test QED in the strongest electric and magnetic fields
The current value brings a specific difference into agreement, its significantly larger uncertainty limits the test of QED in 209Bi
The calculation was done in the framework of the original Furry picture, i.e., without effective screening potential, the higher-order interelectronic-interaction contributions were taken into account within the large-scale configurationinteraction Dirac-Fock-Sturm method (CI-DFS) [43]
Summary
Investigations of the hyperfine structure (hfs) in highly charged, few-electron ions, triggered by the first measurements in H-like ions [1,2,3,4,5], provide unique possibilities to test QED in the strongest electric and magnetic fields. The rigorous evaluation of the two-photon exchange correction to the ground-state hfs in Li-like 209Bi80+ was presented in Ref. The calculation was done in the framework of the original Furry picture, i.e., without effective screening potential, the higher-order interelectronic-interaction contributions were taken into account within the large-scale configurationinteraction Dirac-Fock-Sturm method (CI-DFS) [43]. In the present paper we report a complete evaluation of the one- and two-photon exchange corrections to the hfs in Li-like ions for a wide range of nuclear charge Z within the framework of rigorous QED approach in the extended Furry picture.
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