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

V. A. Yerokhin·A. N. Artemyev·V. M. Shabaev·G. Plunien
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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.

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V. A. Yerokhin, A. N. Artemyev, V. M. Shabaev, G. Plunien. 2005-06-29. Improved all-order results for the one-loop QED correction to the hyperfine structure in light H-like atoms. https://doi.org/10.1103/physreva.72.052510

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