Calculation of the Hyperfine Magnetic Anomaly in Many-Electron Atoms

The precision measurements of the ratio between the hyperfine structure constants for the s1/2 and p1/2 states has allowed us to estimate the difference between the hyperfine magnetic anomalies for these levels. This work deals with the retrieval of the absolute values of the hyperfine magnetic anomalies from their difference. Taking into account the correction for the hyperfine magnetic anomaly to the g factor has made it possible to increase the determination accuracy of g factors of short-lived isotopes by more than an order of magnitude.