Vacuum-polarization corrections to the hyperfine-structure splitting of highly charged83209Bi ions

The vacuum-polarization corrections to the hyperfine structure intervals for the ${2s}_{1/2}$ state of ${}_{83}^{209}$Bi${}^{80+}$ ion and the ${2p}_{3/2}$ state of Li-like, B-like, and N-like ${}_{83}^{209}$Bi ions are calculated. The “dynamical” model of the hyperfine interaction is used, in which the electron is assumed to interact with the valence proton in ${}_{83}^{209}$Bi nucleus via exchange of a photon. In this model, the magnetic dipole moment and the electric quadrupole moment distributions inside the nucleus are automatically taken into account. The contributions of the vacuum polarization to the hyperfine structure intervals are evaluated in the Uehling approximation. To calculate the hyperfine splittings, the Dirac-Hartree-Fock wave functions for an extended nucleus are used.