Empirical determination of the Bohr-Weisskopf effect in cesium and improved tests of precision atomic theory in searches for new physics

Abstract

The finite distribution of the nuclear magnetic moment across the nucleus gives a contribution to the hyperfine structure known as the Bohr-Weisskopf (BW) effect. We have obtained an empirical value of -0.24(18)% for this effect in the ground and excited s states of atomic Cs-133. This value is found from historical muonic-atom measurements in combination with our muonic-atom and atomic many-body calculations. The effect differs by 0.5% in the hyperfine structure from the value found using the uniform magnetization distribution, which has been commonly employed in the precision heavy-atom community over the last several decades. We also deduce accurate values for the BW effect in other isotopes and states of cesium. These results enable cesium atomic wave functions to be tested in the nuclear region at an unprecedented 0.2% level, and are needed for the development of precision atomic many-body methods. This is important for increasing the discovery potential of precision atomic searches for new physics, in particular for atomic parity violation in cesium.

References in corpus (32)

• Search for New Physics with Atoms and Molecules
• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Precision determination of electroweak coupling from atomic parity violation and implications for particle physics
• The radiative potential method for calculations of QED radiative corrections to energy levels and electromagnetic amplitudes in many-electron atoms
• Revisiting parity non-conservation in cesium
• Ground state hyperfine splitting of high Z hydrogenlike ions
• Precise calculation of parity nonconservation in cesium and test of the standard model
• Precision determination of weak charge of ${}^{133}$Cs from atomic parity violation
• Parity and Time-Reversal Violation in Atomic Systems
• Table of hyperfine anomaly in atomic systems
• New Nuclear Magnetic Moment of ${}^{209}$Bi - Resolving the Bismuth Hyperfine Puzzle
• Ground-state hyperfine structure of H-, Li-, and B-like ions in middle-Z region
• Progress in quantum electrodynamics theory of highly charged ions
• Nuclear magnetization distribution effect in molecules: Ra${}^{+}$ and RaF hyperfine structure
• Ground-state hyperfine splitting for Rb, Cs, Fr, Ba^+, and Ra^+
• QED radiative corrections and many-body effects in atoms: vacuum polarization and binding energy shifts in alkali metals
• Determination of the scalar and vector polarizabilities of the cesium $6s{}^2{S}_{1/2}\to 7s{}^2{S}_{1/2}$ transition and implications for atomic parity non-conservation
• New Physics Constraints from Atomic Parity Violation in ${}^{133}$Cs
• The measurement of the quadrupole moment of 185-Re and 187-Re from the hyperfine structure of muonic X rays
• Testing atomic wave functions in the nuclear vicinity: the hyperfine structure with empirically-deduced nuclear and quantum electrodynamic effects
• Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
• Correlation trends in the hyperfine structure for Rb, Cs, Fr and high-accuracy predictions for hyperfine constants
• Comparison of hyperfine anomalies in the 5S_{1/2} and 6S_{1/2} levels of ^{85}Rb and ^{87}Rb
• 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
• 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
• Calculation of francium hyperfine anomaly
• Parity-mixed coupled-cluster formalism for computing parity-violating amplitudes
• 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
• Calculation of hyperfine magnetic anomaly in many-electron atoms

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