Transition probability between the hyperfine structure components of hydrogenlike ions and bound-electron g-factor

The transition probability between the hyperfine splitting components of a hydrogenlike ion is expressed in terms of the bound-electron g-factor. It a llows a simple calculation of the QED (quantum electrodynamic) and nuclear- size corrections to the transition probability by using the corresponding c orrections to the bound-electron g-factor. In experimentally interesting ca ses of Ho, Re, Pb, and Bi the QED corrections increase the transition proba bility by about 0.3%. Using a recent experimental value for the transition probability between the hyperfine structure components in Pb-207(81+) it is found that the bound-electron g-factor in lead amounts to 1.78(12). The co rresponding theoretical value is 1.7383.