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

Abstract

The transition probability between the hyperfine splittingcomponents of a hydrogenlike ion is expressed in terms of thebound-electron g-factor. It allows a simple calculationof the QED (quantum electrodynamic) and nuclear-size corrections to the transition probability by using thecorresponding corrections to the bound-electron g-factor.In experimentally interesting cases of Ho, Re, Pb, and Bithe QED corrections increase the transition probability by about 0.3%.Using a recent experimental value for the transition probabilitybetween the hyperfine structure components in 207Pb81+it is foundthat the bound-electron g-factor in lead amounts to 1.78(12).The corresponding theoretical value is 1.7383.\\\\PACS Nos.:12.20Ds, 31.30Gs, and 31.30Jv