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Spin–orbit interaction in the HD\(^+\) ion

  • Regular Article – Atomic Physics
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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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Data Availability Statement

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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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia, 141980

    Vladimir I. Korobov

  2. Laboratoire Kastler Brossel, CNRS, ENS-Université PSL, Collège de France, Sorbonne Université, 4 Place Jussieu, 75005, Paris, France

    Jean-Philippe Karr

  3. Université d’Evry-Val d’Essonne, Université Paris-Saclay, Boulevard François Mitterrand, 91000, Evry, France

    Jean-Philippe Karr

Authors
  1. Vladimir I. Korobov
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  2. Jean-Philippe Karr
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Contributions

Both authors equally contributed to the derivation of formulas and numerical calculations presented in the text.

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Correspondence to Vladimir I. Korobov.

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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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