Ground-state hyperfine splitting for Rb, Cs, Fr, Ba^+, and Ra^+

Abstract

We have systematically investigated the ground-state hyperfine structure for alkali-metal atoms ^{87}Rb, ^{133}Cs, ^{211}Fr and alkali-metal-like ions ^{135}Ba^+, ^{225}Ra^+, which are of particular interest for parity violation studies. The quantum electrodynamic one-loop radiative corrections have been rigorously evaluated within an extended Furry picture employing core-Hartree and Kohn-Sham atomic potentials. Moreover, the effect of the nuclear magnetization distribution on the hyperfine structure intervals has been studied in detail and its uncertainty has been estimated. Finally, the theoretical description of the hyperfine structure has been completed with full many-body calculations performed in the all-orders correlation potential method.

arXiv comment9 pages, 2 figures

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Cited by in corpus (32)

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• Testing atomic wave functions in the nuclear vicinity: the hyperfine structure with empirically-deduced nuclear and quantum electrodynamic effects
• Correlation trends in the hyperfine structure for Rb, Cs, Fr and high-accuracy predictions for hyperfine constants
• Benchmarking of the Fock space coupled cluster method and uncertainty estimation: Magnetic hyperfine interaction in the excited state of BaF
• Laser-coolable AcOH${}^{+}$ ion for $\mathcal{C}\mathcal{P}$-violation searches
• The hyperfine anomaly in heavy atoms and its role in precision atomic searches for new physics
• Nuclear magnetic moments of francium 207-213 from precision hyperfine comparisons
• 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
• Microwave spectroscopy of radio-frequency dressed ${}^{87}$Rb
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• QED radiative corrections to electric dipole amplitudes in heavy atoms
• Relativistic and QED corrections to one-bond indirect nulcear spin-spin couplings in X${}_2^{2+}$ and X${}_3^{2+}$ ions (X = Zn, Cd, Hg)
• Comment on "New physics constraints from atomic parity violation in 133-Cs"
• Measurement of the hyperfine coupling constants and absolute energies of the $12s{}^2{S}_{1/2}$, $13s{}^2{S}_{1/2}$, and $11d{}^2{D}_J$ levels in atomic cesium
• Revisited nuclear magnetic dipole and electric quadrupole moments of polonium isotopes
• Observation of the distribution of nuclear magnetization in a molecule
• Many-electron effects in the hyperfine splitting of lithiumlike ions
• Refined nuclear magnetic dipole moment of rhenium: ${}^{185}$Re and ${}^{187}$Re
• Calculation of hyperfine magnetic anomaly in many-electron atoms
• Role of triple excitations in calculating different properties of Ba+
• Measurement of the hyperfine coupling constants and absolute energies of the $8p{}^2{P}_{1/2}$ and $8p{}^2{P}_{3/2}$ levels in atomic cesium
• Relativistic and quantum electrodynamics effects on NMR shielding tensors of Tl$X$ ($X$ = H, F, Cl, Br, I, At) molecules
• Theoretical characterisation of the barium II and radium II ions
• Reply to Comment on "New physics constraints from atomic parity violation in ${}^{133}$Cs"
• Vacuum polarization corrections to hyperfine structure in many-electron atoms
• The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule
• Laser Cooling and Hyperfine Measurements of Radium-225 Ions
• Ab initio calculations of the electronic structure of Ac${}^{+}$