High-precision Penning-trap spectroscopy of the ground-state spin structure of HD+

Fuente: arXiv
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Autori principali: König, Charlotte M., Bohman, Matthew, Heiße, Fabian, Morgner, Jonathan, Sailer, Tim, Tu, Bingsheng, Blaum, Klaus, Sturm, Sven, Bakalov, Dimitar, Nogueira, Hugo D., Karr, Jean-Philippe, Kullie, Ossama, Schiller, Stephan
Natura: Preprint
Pubblicazione: 2026
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author König, Charlotte M.
Bohman, Matthew
Heiße, Fabian
Morgner, Jonathan
Sailer, Tim
Tu, Bingsheng
Blaum, Klaus
Sturm, Sven
Bakalov, Dimitar
Nogueira, Hugo D.
Karr, Jean-Philippe
Kullie, Ossama
Schiller, Stephan
author_facet König, Charlotte M.
Bohman, Matthew
Heiße, Fabian
Morgner, Jonathan
Sailer, Tim
Tu, Bingsheng
Blaum, Klaus
Sturm, Sven
Bakalov, Dimitar
Nogueira, Hugo D.
Karr, Jean-Philippe
Kullie, Ossama
Schiller, Stephan
contents We present high-precision spectroscopy of the ground-state hyperfine structure of HD$^+$ at 4~T. We determine the bound-electron $g$ factor, $g_{e,\mathrm{bound}} = -2.002\,278\,540\,96(40)$, to a relative uncertainty of $2\times$10$^{-10}$, the most precise determination of a bound-electron $g$ factor of a molecular ion to date. The experimental value agrees with recently developed ab initio theory that now includes quantum-electrodynamical effects up to order $α^5$ and has reduced the theoretical uncertainty by three orders of magnitude [O. Kullie \textit{et al.}, Phys. Rev. A 112 052813 (2025)]. In addition, we extract the scalar spin-spin interaction coefficients $E_4$~=~925\,395.758(41)$\,$kHz (electron-proton) and $E_5$~=~142\,287.821(22)$\,$kHz (electron-deuteron), which show a moderate tension with another state-of-the-art theoretical prediction [M. Haidar \textit{et al.}, Phys. Rev. A 106 042815 (2022)].
format Preprint
id arxiv_https___arxiv_org_abs_2602_17522
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle High-precision Penning-trap spectroscopy of the ground-state spin structure of HD+
König, Charlotte M.
Bohman, Matthew
Heiße, Fabian
Morgner, Jonathan
Sailer, Tim
Tu, Bingsheng
Blaum, Klaus
Sturm, Sven
Bakalov, Dimitar
Nogueira, Hugo D.
Karr, Jean-Philippe
Kullie, Ossama
Schiller, Stephan
Atomic Physics
We present high-precision spectroscopy of the ground-state hyperfine structure of HD$^+$ at 4~T. We determine the bound-electron $g$ factor, $g_{e,\mathrm{bound}} = -2.002\,278\,540\,96(40)$, to a relative uncertainty of $2\times$10$^{-10}$, the most precise determination of a bound-electron $g$ factor of a molecular ion to date. The experimental value agrees with recently developed ab initio theory that now includes quantum-electrodynamical effects up to order $α^5$ and has reduced the theoretical uncertainty by three orders of magnitude [O. Kullie \textit{et al.}, Phys. Rev. A 112 052813 (2025)]. In addition, we extract the scalar spin-spin interaction coefficients $E_4$~=~925\,395.758(41)$\,$kHz (electron-proton) and $E_5$~=~142\,287.821(22)$\,$kHz (electron-deuteron), which show a moderate tension with another state-of-the-art theoretical prediction [M. Haidar \textit{et al.}, Phys. Rev. A 106 042815 (2022)].
title High-precision Penning-trap spectroscopy of the ground-state spin structure of HD+
topic Atomic Physics
url https://arxiv.org/abs/2602.17522