Hyperfine-structure constants for the $6s{}^2{S}_{1/2}$ and $6p{}^2{P}_{1/2}$ atomic states of the $I^{\pi }=11/2^{-}$ gold isomers ${}^{177,191,193,195}\mathrm{Au}^m$ have been measured at CERN-ISOLDE, using the in-source laser resonance-ionization spectroscopy technique. From the measured hyperfine constants the differences between hyperfine anomalies for these atomic states have been deduced. These differential hyperfine anomaly values have been used to determine the $6s$-state hyperfine anomaly relative to the stable ${}^{197}\mathrm{Au}$ with advanced atomic calculations. Magnetic dipole moments for the gold isomers in question have been deduced, taking into account the corresponding relative hyperfine-anomaly values. It has been shown that the commonly used prescription for the extraction of the magnetic moment values for the gold isotopes should be reconsidered. The magnetic moments calculated by this prescription have been reevaluated by properly accounting for the hyperfine anomaly, which is as large as 10% for several gold isotopes.

• Received 28 January 2020
• Accepted 21 February 2020

DOI:https://doi.org/10.1103/PhysRevC.101.034308

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Published by the American Physical Society