The $g$-factor of light ions for an improved determination of the fine-structure constant

Abstract

A weighted difference of the $g$-factors of the H- and Li-like ions of the same element is theoretically studied and optimized in order to maximize the cancelation of nuclear effects between the two charge states. We show that this weighted difference and its combination for two different elements can be used to extract a value for the fine-structure constant from near-future bound-electron $g$-factor experiments with an accuracy competitive with or better than the present literature value.

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Cited by in corpus (40)

• QED tests with highly-charged ions
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• $g$-factor of Boronlike Argon ${}^{40}{\text{Ar}}^{13+}$
• Extraction of the electron mass from $g$ factor measurements on light hydrogenlike ions
• Two-loop binding corrections to the electron gyromagnetic factor
• $g$ Factor of Lithiumlike Silicon: New Challenge to Bound-State QED
• Perspectives on testing fundamental physics with highly charged ions in Penning traps
• Electron-correlation effects in the $g$-factor of light Li-like ions
• Weighted difference of g-factors of light Li-like and H-like ions for an improved determination of the fine-structure constant
• Many body study of $g$-factor in boron-like argon
• Theory of the two-loop self-energy correction to the $\mathbf{g}$ factor in non-perturbative Coulomb fields
• Nuclear recoil effect on $g$ factor of heavy ions: prospects for tests of quantum electrodynamics in a new region
• QED corrections to the $g$ factor of Li- and B-like ions
• Hyperfine splitting in simple ions for the search of the variation of fundamental constants
• Testing Standard Model extensions with few-electron ions
• Skyrme-type nuclear interaction as a tool for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor
• Nuclear recoil effect on the g factor of middle-Z boronlike ions
• One-loop binding corrections to the electron $g$ factor
• Self-energy screening effects in the $g$ factor of Li-like ions
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Ground-state $g$ factor of middle-$Z$ boronlike ions
• Non-perturbative analysis of nuclear shape effects on the bound electron g factor
• Two-photon exchange corrections to the $g$ factor of Li-like ions
• Two-loop virtual light-by-light scattering corrections to the bound-electron $g$ factor
• Relativistic nuclear recoil effect on the $g$ factor of highly charged boronlike ions
• Interelectronic-interaction contribution to the nonlinear Zeeman effect in boronlike ions
• QED calculations of the nuclear recoil effect on the bound-electron $g$ factor
• Vacuum polarization and Wichmann-Kroll correction in the finite basis set approximation
• A single-photon large-momentum-transfer atom interferometry scheme for Sr or Yb atoms with application to determining the fine-structure constant
• Interelectronic-interaction contribution to the nuclear recoil effect on the $g$ factor of boronlike ions
• Thermal corrections to the bound-electron $g$-factor
• Improved bound-electron g-factor theory through complete two-loop QED calculations
• Testing inter-electronic interaction in lithium-like tin
• Relativistic calculation of the nuclear recoil effect on the $g$ factor of the ${}^2{P}_{3/2}$ state in highly charged B-like ions
• Hadronic vacuum polarization correction to the bound-electron $g$ factor
• Radiative and photon-exchange corrections to New Physics contributions to energy levels in few-electron ions
• QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions
• $g$ factor of the $2p_j$ excited states in lithium-like ions
• One hundred years ago Alfred Landé unriddled the Anomalous Zeeman Effect and presaged Electron Spin