Role of hyperfine interaction in Landé $g$-factors of $^3\!P^o_0$ clock states

Abstract

In the weak-magnetic-field approximation, we derived a general expression of hyperfine-induced Landé g-factors. By using this formula and the multi-configuration Dirac-Hartree-Fock theory, the g-factors were calculated for the 3s3p 3 P o 0 clock state in 27 Al + and 5s5p 3 P o 0 in 87 Sr. The present