Calculation of hyperfine magnetic anomaly in many-electron atoms

Abstract

The precision measurements of the ratio of hyperfine structure constants for $s_{1/2}$ and $p_{1/2}$ states allow us to estimate the difference between hyperfine magnetic anomalies for these levels. We calculate the atomic factor in order to recover the absolute values of the hyperfine magnetic anomalies from their difference. Taking into account the hyperfine anomaly correction allows one to increase the accuracy of determining the g-factors of short-lived isotopes by more than an order of magnitude.

References in corpus (6)

• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• Table of hyperfine anomaly in atomic systems
• Ground-state hyperfine splitting for Rb, Cs, Fr, Ba^+, and Ra^+
• Correlation Trends in the Hyperfine Structures of ${}^{210,212}$Fr
• The theory of the Bohr-Weisskopf effect in the hyperfine structure
• Calculation of francium hyperfine anomaly

Cited by in corpus (7)

• Survey of hyperfine structure measurements in alkali atoms
• The hyperfine anomaly in heavy atoms and its role in precision atomic searches for new physics
• Empirical determination of the Bohr-Weisskopf effect in cesium and improved tests of precision atomic theory in searches for new physics
• The Bohr-Weisskopf effect: from hydrogenlike-ion experiments to heavy-atom calculations of the hyperfine structure
• Atomic calculations of hyperfine structure anomaly in gold
• The Bohr-Weisskopf effect in the potassium isotopes
• The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule