Gyromagnetic Ratio in the Hyperfine Structure of Doublet States

Abstract

Perturbation of the hyperfine structure of an electronic $p_{\frac{1}{2}}$ state by the $p_{\frac{3}{2}}$ state is calculated using relativistic electronic functions. The main effects are a change in apparent nuclear $g$ factor and a common lowering of all $p_{\frac{1}{2}}$ sublevels. Energy corrections due to the perturbation of one level of a doublet term by the other when $i$ is ½ and $j$ is arbitrary are also obtained.