English

Higher-order QED corrections to the hyperfine splitting in $^3$He

Atomic Physics 2023-12-08 v4

Abstract

We present a calculation of the hyperfine splitting of the 23S2^3S state in the 3^3He atom with inclusion of all QED effects up to α3EF\alpha^3E_F, where EFE_F is the Fermi splitting. Using the experimental value of the 1S1S hyperfine splitting in 3^3He+^+, we obtain the theoretical prediction for 3^3He of νhfs=6739701181(41)\nu_\mathrm{hfs}= -6\,739\,701\,181(41) Hz, which is in perfect agreement with the experimental value 6739701177(16)-6\,739\,701\,177(16) Hz [S. D. Rosner and F. M. Pipkin, Phys. Rev. A 1{\bf 1}, 571 (1970)]. 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 non-hydrogenic system.

Keywords

Cite

@article{arxiv.2304.12274,
  title  = {Higher-order QED corrections to the hyperfine splitting in $^3$He},
  author = {Vojtěch Patkóš and Vladimir A. Yerokhin and Krzysztof Pachucki},
  journal= {arXiv preprint arXiv:2304.12274},
  year   = {2023}
}