$g$ Factor of Boron-like Tin
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arXiv
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2025
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| author | Morgner, J. Tu, B. Moretti, M. König, C. M. Heiße, F. Sailer, T. Yerokhin, V. A. Sikora, B. Oreshkina, N. S. Harman, Z. Keitel, C. H. Sturm, S. Blaum, K. |
| author_facet | Morgner, J. Tu, B. Moretti, M. König, C. M. Heiße, F. Sailer, T. Yerokhin, V. A. Sikora, B. Oreshkina, N. S. Harman, Z. Keitel, C. H. Sturm, S. Blaum, K. |
| contents | In the ALPHATRAP experiment, the $g$ factor of boron-like $^{118}\mathrm{Sn}^{45+}$ has been measured with a $0.5$ parts-per-billion uncertainty. This is the first high-precision measurement of a heavy boron-like $g$ factor. The measured value of $0.644\,703\,826\,5(4)$ is consistent with the presented \textit{ab initio} state-of-the-art theory calculations, which predict a value of $0.644\,702\,9(8)$. So far, the only boron-like $g$ factor measured with high precision has been $^{40}\mathrm{Ar}^{13+}$. The measurement presented here therefore tests quantum electrodynamics as well as many-electron interactions at much higher $Z$. Furthermore, we discuss the potential for an independent determination of the fine-structure constant $α$, which can be achieved with a specific difference of $g$ factors, combining the presented results with the recent electron $g$-factor measurement of hydrogen-like tin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24272 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $g$ Factor of Boron-like Tin Morgner, J. Tu, B. Moretti, M. König, C. M. Heiße, F. Sailer, T. Yerokhin, V. A. Sikora, B. Oreshkina, N. S. Harman, Z. Keitel, C. H. Sturm, S. Blaum, K. Atomic Physics In the ALPHATRAP experiment, the $g$ factor of boron-like $^{118}\mathrm{Sn}^{45+}$ has been measured with a $0.5$ parts-per-billion uncertainty. This is the first high-precision measurement of a heavy boron-like $g$ factor. The measured value of $0.644\,703\,826\,5(4)$ is consistent with the presented \textit{ab initio} state-of-the-art theory calculations, which predict a value of $0.644\,702\,9(8)$. So far, the only boron-like $g$ factor measured with high precision has been $^{40}\mathrm{Ar}^{13+}$. The measurement presented here therefore tests quantum electrodynamics as well as many-electron interactions at much higher $Z$. Furthermore, we discuss the potential for an independent determination of the fine-structure constant $α$, which can be achieved with a specific difference of $g$ factors, combining the presented results with the recent electron $g$-factor measurement of hydrogen-like tin. |
| title | $g$ Factor of Boron-like Tin |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2505.24272 |