The hyperfine anomaly in heavy atoms and its role in precision atomic searches for new physics

Abstract

We report on our calculations of differential hyperfine anomalies in the nuclear single-particle model for a number of atoms and ions of interest for studies of fundamental symmetries violations. Comparison with available experimental data allows one to discriminate between different nuclear magnetization models, and this data supports the use of the nuclear single-particle model over the commonly-used uniform ball model. Accurate modelling of the nuclear magnetization distribution is important for testing atomic theory through hyperfine comparisons. The magnetization distribution must be adequately understood and modelled, with uncertainties well under the atomic theory uncertainty, for hyperfine comparisons to be meaningful. This has not been the case for a number of atoms of particular interest for precision studies, including Cs. Our work demonstrates the validity of the nuclear single-particle model for Cs, and this has implications for the theory analysis of atomic parity violation in this atom.

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• Electric dipole transition amplitudes for atoms and ions with one valence electron
• Electromagnetic moments of the antimony isotopes ${}^{112-133}$Sb
• Comment on "New physics constraints from atomic parity violation in 133-Cs"
• Refined nuclear magnetic dipole moment of rhenium: ${}^{185}$Re and ${}^{187}$Re
• Role of triple excitations in calculating different properties of Ba+
• The Bohr-Weisskopf effect in the potassium isotopes
• Theoretical characterisation of the barium II and radium II ions
• Relativistic atomic structure calculations in support of spectroscopy
• Vacuum polarization corrections to hyperfine structure in many-electron atoms
• The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule
• High-Resolution Spectroscopy of ${}^{173}$Yb${}^{+}$ Ions