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Hyperfine splitting in $^{6,7}$Li$^+$ | | Krzysztof Pachucki
; Vojtěch Patkóš
; Vladimir A. Yerokhin
; | | Date: |
1 Sep 2023 | | Abstract: | We present a detailed derivation of the QED effects of order $alpha^7,m$ to
the hyperfine structure (hfs) of the $^3S$ states of helium-like ions and
perform numerical calculations for $^6$Li$^+$ and $^7$Li$^+$. 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 $^6$Li$^{2+}$ and $^7$Li$^{2+}$, 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
$^{6,7}$Li$^{+}$ and $^{6,7}$Li. | | Source: | arXiv, 2309.00436 | | Services: | Forum | Review | PDF | Favorites | |
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