Abstract
We report on progress in calculation of the spin–orbit interaction for the HD\(^+\) molecular ion. This interaction is currently the largest source of theoretical uncertainty in determination of the hyperfine structure of ro-vibrational transition lines. The corrections of order \(m\alpha ^7\ln (\alpha )\) are derived and numerically calculated. Theoretical hyperfine intervals are compared with experimental data, and the observed discrepancies are discussed.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data sharing not applicable to this article as no datasets were generated or analyzed during the current study].
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Acknowledgements
This work was done in collaboration with Laurent Hilico, Mohammad Haidar (LKB), and Zhen-Xiang Zhong (Wuhan, WIPM CAS) that is gratefully acknowledged.
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Korobov, V.I., Karr, JP. Spin–orbit interaction in the HD\(^+\) ion. Eur. Phys. J. D 76, 197 (2022). https://doi.org/10.1140/epjd/s10053-022-00522-3
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DOI: https://doi.org/10.1140/epjd/s10053-022-00522-3