The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule

Abstract

The Moskowitz-Lombardi rule gives a simple relation between the magnetic moment of an atomic nucleus and the effect of its radial distribution on the hyperfine structure - the magnetic hyperfine anomaly or "Bohr-Weisskopf" effect. It was originally formulated for mercury, for which experimental data for nuclear magnetic moments and hyperfine constants were available for a number of isotopes. While the relation for the differential effect between isotopes may be completely determined experimentally, the value for the additive constant that is needed to give the Bohr-Weisskopf (BW) effect for a single isotope has remained untested. In this work, we determine the BW effect in singly-ionized and neutral mercury from experimental muonic Hg-199 data together with our atomic calculations. We check this result by directly extracting the BW effect from the hyperfine constant for singly-ionized Hg-199 using state-of-the-art atomic many-body calculations. From this we deduce an empirical value for the additive constant in the Moskowitz-Lombardi rule, which differs significantly from the values advocated previously.

References in corpus (37)

• Search for New Physics with Atoms and Molecules
• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
• Space-Time Variation of Physical Constants and Relativistic Corrections in Atoms
• Probing new light force-mediators by isotope shift spectroscopy
• Trapping of Neutral Mercury Atoms and Prospects for Optical Lattice Clocks
• Collective T- and P- Odd Electromagnetic Moments in Nuclei with Octupole Deformations
• Evidence for Nonlinear Isotope Shift in Yb${}^{+}$ Search for New Boson
• Parity and Time-Reversal Violation in Atomic Systems
• Comparing a mercury optical lattice clock with microwave and optical frequency standards
• Opportunities for Fundamental Physics Research with Radioactive Molecules
• Nuclear Octupole Correlations and the Enhancement of Atomic Time-Reversal Violation
• Shape staggering of mid-shell mercury isotopes from in-source laser spectroscopy compared with Density Functional Theory and Monte Carlo Shell Model calculations
• Ground-state hyperfine structure of H-, Li-, and B-like ions in middle-Z region
• Nuclear magnetization distribution effect in molecules: Ra${}^{+}$ and RaF hyperfine structure
• Ground-state hyperfine splitting for Rb, Cs, Fr, Ba^+, and Ra^+
• Nuclear magnetization distribution and hyperfine splitting in Bi${}^{82+}$ ion
• Nuclear deformation as a source of the non-linearity of King plot in the Yb${}^{+}$ ion
• The measurement of the quadrupole moment of 185-Re and 187-Re from the hyperfine structure of muonic X rays
• Correlation trends in the hyperfine structure for Rb, Cs, Fr and high-accuracy predictions for hyperfine constants
• Collinear laser spectroscopy of atomic cadmium
• 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
• First high-resolution spectroscopy of 201Hg+ hyperfine structure: a sensitive probe of nuclear structure and the hyperfine anomaly
• Nuclear magnetic moments of francium 207-213 from precision hyperfine comparisons
• The Bohr-Weisskopf effect: from hydrogenlike-ion experiments to heavy-atom calculations of the hyperfine structure
• Effect of nuclear magnetization distribution within the Woods-Saxon model: Hyperfine splitting in neutral Tl
• Precision spectroscopy on ${}^9$Be overcomes limitations from nuclear structure
• MCDHF-CI calculations for Hg and Cd with estimates for unknown clock transition frequencies
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• Electromagnetic moments of the antimony isotopes ${}^{112-133}$Sb
• Calculation of francium hyperfine anomaly
• Atomic calculations of hyperfine structure anomaly in gold
• Calculation of hyperfine magnetic anomaly in many-electron atoms
• Refined nuclear magnetic dipole moment of rhenium: ${}^{185}$Re and ${}^{187}$Re
• Smallness of the nuclear polarization effect in the hyperfine structure of heavy muonic atoms as a stimulus for next-generation experiments

Cited by in corpus (1)

• Atomic Parity Violation: Standard Model Tests