Testing inter-electronic interaction in lithium-like tin

Abstract

Magnetic moments of bound-electron systems are a sensitive tool for testing fundamental interactions. $g$ factors of lithium-like ions have been rigorously studied in recent years, enabling insights into the relativistic inter-electronic effects. Here, we present the $g$-factor measurement of lithium-like tin, accurate to 0.5 parts per billion, as well as \textit{ab initio} theoretical calculations that include an advanced treatment of the inter-electronic interaction. We further improve the prediction by using the experimental result for the hydrogen-like tin $g$ factor, inferring from it the unknown higher-order QED effects. The observed agreement independently confirms the revised theory at a previously inaccessible high nuclear charge $Z$ of 50, where QED effects are significantly larger.

References in corpus (22)

• High-precision measurement of the atomic mass of the electron
• Coherent laser spectroscopy of highly charged ions using quantum logic
• Complete two-loop correction to the bound-electron g factor
• g factor of lithiumlike silicon 28Si11+
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• Many-electron QED corrections to the g factor of lithiumlike ions
• $g$-factor of Boronlike Argon ${}^{40}{\text{Ar}}^{13+}$
• Light-by-light scattering in the Lamb shift and the bound electron g factor
• Two-loop binding corrections to the electron gyromagnetic factor
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor
• Recoil effect on the g factor of Li-like ions
• Electron-correlation effects in the $g$-factor of light Li-like ions
• Mass-difference measurements on heavy nuclides with at an eV/c2 accuracy level with PENTATRAP
• Weighted difference of g-factors of light Li-like and H-like ions for an improved determination of the fine-structure constant
• Calculations of QED effects with the Dirac Green function
• QED corrections to the $g$ factor of Li- and B-like ions
• g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment
• Self-energy screening effects in the $g$ factor of Li-like ions
• High-precision mass measurement of doubly magic ${}^{208}$Pb
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Two-photon exchange corrections to the $g$ factor of Li-like ions
• Many-electron effects in the hyperfine splitting of lithiumlike ions