Improved all-order results for the one-loop QED correction to the hyperfine structure in light H-like atoms

Abstract

A calculation of the one-loop self-energy and vacuum-polarization corrections to the hyperfine splitting of the 1s and 2s states in light H-like ions is carried out to all orders in the parameter Z α. Using the known values for the Z α-expansion coefficients, the numerical data obtained are extrapolated from Z=5 and higher to Z=0, 1, and 2, with the resulting accuracy being significantly better than in previous evaluations. Our calculation shifts the theoretical value of the normalized difference of the 1s and 2s hyperfine-structure intervals in ^3He^+ by 0.056 kHz and improves its accuracy.

10 pages, 4 figures, 6 tables

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• Ground state hyperfine splitting of high Z hydrogenlike ions
• Calculation of the Electron Self Energy for Low Nuclear Charge
• Self-energy correction to the bound-electron g factor in H-like ions
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• High-Precision Optical Measurement of the 2S Hyperfine Interval in Atomic Hydrogen
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• 2S hyperfine structure of atomic deuterium
• Perturbation Approach to the Self Energy of non-S Hydrogenic States

Cited by in corpus (16)

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• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• QED tests with highly-charged ions
• Ground-state hyperfine structure of H-, Li-, and B-like ions in middle-Z region
• Nuclear size correction to the Lamb shift of one-electron atoms
• Self-energy correction to the hyperfine splitting and the electron g factor in hydrogen-like ions
• Two-loop QED corrections with closed fermion loops
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor
• QED calculation of the nuclear magnetic shielding for hydrogen-like ions
• Quantum electrodynamic corrections to the hyperfine structure of excited S states
• The Bohr-Weisskopf effect: from hydrogenlike-ion experiments to heavy-atom calculations of the hyperfine structure
• HFS interval of the $2s$ state of hydrogen-like atoms and a constraint on a pseudovector boson with mass below $1$keV$/c^2$
• Many-electron effects in the hyperfine splitting of lithiumlike ions
• Self-Energy Correction to the Hyperfine Splitting for Excited States
• Self-Energy Correction to the Bound-Electron g Factor of P States
• Precision study of hyperfine structure in simple atoms