Second-order hyperfine correction to H, D, and $^3$He energy levels
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909420463587328 |
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| author | Pachucki, Krzysztof Patkóš, Vojtěch Yerokhin, Vladimir A. |
| author_facet | Pachucki, Krzysztof Patkóš, Vojtěch Yerokhin, Vladimir A. |
| contents | The complete second-order hyperfine-interaction correction is calculated for centroid energy levels of H, D, and $^3$He atoms. For $^3$He, the corrections of $-2.075$~kHz and $-0.305$~kHz beyond the leading hyperfine-mixing contribution are obtained for the $2^1S$ and $2^3S$ states, respectively. These results shift the nuclear charge radii difference derived from the $^3$He -$^4$He isotope shift and largely resolve the previously reported disagreement between the muonic and electronic helium determinations [van der Werf et al., arXiv:2306.02333 (2023); Schuhmann et al., arXiv:2305.11679 (2023)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second-order hyperfine correction to H, D, and $^3$He energy levels Pachucki, Krzysztof Patkóš, Vojtěch Yerokhin, Vladimir A. Atomic Physics Nuclear Theory The complete second-order hyperfine-interaction correction is calculated for centroid energy levels of H, D, and $^3$He atoms. For $^3$He, the corrections of $-2.075$~kHz and $-0.305$~kHz beyond the leading hyperfine-mixing contribution are obtained for the $2^1S$ and $2^3S$ states, respectively. These results shift the nuclear charge radii difference derived from the $^3$He -$^4$He isotope shift and largely resolve the previously reported disagreement between the muonic and electronic helium determinations [van der Werf et al., arXiv:2306.02333 (2023); Schuhmann et al., arXiv:2305.11679 (2023)]. |
| title | Second-order hyperfine correction to H, D, and $^3$He energy levels |
| topic | Atomic Physics Nuclear Theory |
| url | https://arxiv.org/abs/2411.05621 |