Anomalies of g-Factor in Heavy Atoms

Abstract

Corrections to the g-factors of the Cs, Fr, Au and Hg+ atoms as well as the amplitude of the 6S-7S strongly forbidden M1 transition in Cs have been calculated. For this purpose, the relativistic Hartree-Fock equations involving the interaction between electrons and an external magnetic field are used. With such a method, the effect of polarization of the closed shells is taken into account exactly. The following values of the correction to the g-factor for Cs, Fr and Au have been obtained: δgCs = 2.54 × 10-4; δgFr = 33.3 × 10-4 and δgAu = 11.9 × 10-4 (the experiment gives, correspondingly: 2.23 (1) × 10-4; 26.5 (8) × 10-4; 9.87 (2) × 10-4), and δgHg+ = 10.2 × 10-4 for the Hg+ (refined value 8.5 × 10-4). The amplitude of the 6S-7S transition of Cs is equal to -0.56 × 10-4|μB| (and -0.413 (18) × 10-4 in the experiment).