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Updated: Jul 11, 2025

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
Published on: June 28, 2016
Higher-Order QED Corrections to the Hyperfine Splitting in ^{3}He
Vojtěch Patkóš1, Vladimir A Yerokhin2,3, Krzysztof Pachucki3
1Charles University, Ke Karlovu 3, 121 16 Prague 2, Czech Republic.
Abstract:
We present a calculation of the hyperfine splitting of the 2^{3}S state in the ^{3}He atom with inclusion of all QED effects up to α^{3}E_{F}, where E_{F} is the Fermi splitting. Using the experimental value of the 1S hyperfine splitting in ^{3}He^{+}, we eliminate uncertainties from the nuclear structure and obtain the theoretical prediction for ^{3}He of ν_{hfs}=-6 739 701 181(41) Hz, which is in perfect agreement with the experimental value -6 739 701 177(16) Hz [S. D. Rosner and F. M. Pipkin, Phys. Rev. A 1, 571 (1970)PLRAAN0556-279110.1103/PhysRevA.1.571]. This result constitutes a 40-fold improvement in precision as compared to the previous value and is the most accurate theoretical prediction ever obtained for a nonhydrogenic system.
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