Comparison of Methods for Eliminating the Bohr–Weisskopf Effect in Atomic Spectra of ^209 Bi Heavy Ions

The methods of the ratio and specific differences of values of hyperfine splitting in different shells for eliminating the Bohr–Weisskopf effect in hyperfine-splitting theory are compared. It is found that there is a relationship between these methods, which manifests itself in nearly the same residual dependence on the nuclear model (dynamic effect) at a level of 10 ^-3 . This degree of elimination turns out to be sufficient for confirming a solution to the bismuth puzzle of hyperfine splitting. A comparison with experimental data at a higher precision level requires including the Bohr–Weisskopf effect. Prospects of further experimental and theoretical studies aimed at refining the magnetic moment of the ^209 Bi nucleus by means of the storage rings at GSI (Gesellschaft für Schwerionenforschung, Darmstadt, Germany) and Institute of Modern Physics (IMP, Lanzhou, China) are discussed.