English

Hyperfine splitting in $^{6,7}$Li$^+$

Atomic Physics 2023-10-31 v2

Abstract

We present a detailed derivation of the QED effects of order α7m\alpha^7\,m to the hyperfine structure (hfs) of the 3S^3S states of helium-like ions and perform numerical calculations for 6^6Li+^+ and 7^7Li+^+. By comparing the theoretical point-nucleus results with the measured hfs of Li+^+, we determine the nuclear-structure contribution parameterized in terms of the effective Zemach radius. Using the experimental hfs results for Li+^+, we obtain accurate predictions for the hfs of 6^6Li2+^{2+} and 7^7Li2+^{2+}, for which no experimental data is available so far. By examining the normalized differences of the hfs of Li+^{+} and Li and of the corresponding isotope-shift differences, we test the consistency of the hfs measurements in 6,7^{6,7}Li+^{+} and 6,7^{6,7}Li.

Keywords

Cite

@article{arxiv.2309.00436,
  title  = {Hyperfine splitting in $^{6,7}$Li$^+$},
  author = {Krzysztof Pachucki and Vojtěch Patkóš and Vladimir A. Yerokhin},
  journal= {arXiv preprint arXiv:2309.00436},
  year   = {2023}
}
R2 v1 2026-06-28T12:10:20.735Z