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 (38)

• Search for New Physics with Atoms and Molecules
• High-precision measurement of the atomic mass of the electron
• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
• Measurement of the Electron Magnetic Moment
• 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
• Direct Bound-Electron $g$ factor Difference Measurement with Coupled Ions
• Stringent test of QED with hydrogenlike tin
• The $g$-factor of light ions for an improved determination of the fine-structure constant
• Virtual light-by-light scattering and the g factor of a bound electron
• Many-electron QED corrections to the g factor of lithiumlike ions
• $g$-factor of Boronlike Argon ${}^{40}{\text{Ar}}^{13+}$
• First-order perturbative calculation of the frequency-shifts caused by static cylindrically-symmetric electric and magnetic imperfections of a Penning trap
• Light-by-light scattering in the Lamb shift and the bound electron g factor
• Evaluation of the screened QED corrections to the g factor and the hyperfine splitting of lithiumlike ions
• Two-loop binding corrections to the electron gyromagnetic factor
• Two-loop QED corrections with closed fermion loops for the bound-electron g factor
• $g$ Factor of Lithiumlike Silicon: New Challenge to Bound-State QED
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor
• One-loop electron self-energy for the bound-electron $g$ 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
• Theory of the two-loop self-energy correction to the $\mathbf{g}$ factor in non-perturbative Coulomb fields
• Calculations of QED effects with the Dirac Green function
• QED corrections to the $g$ factor of Li- and B-like ions
• Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor
• g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment
• Classical calculation of relativistic frequency-shifts in an ideal Penning trap
• Self-energy screening effects in the $g$ factor of Li-like ions
• High-precision mass measurement of doubly magic ${}^{208}$Pb
• Two-photon exchange corrections to the $g$ factor of Li-like ions
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Lifetimes and g-factors of the HFS states in H-like and Li-like bismuth
• Many-electron effects in the hyperfine splitting of lithiumlike ions

Cited by in corpus (3)

• Sub-part-per-trillion test of the Standard Model with atomic hydrogen
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• $g$ factor of the $2p_j$ excited states in lithium-like ions