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arXiv · 2209.02382

Higher-order corrections to the spin-orbit and spin-spin tensor interactions in HD$^+$

Mohammad Haidar·Vladimir I. Korobov·Laurent Hilico·Jean-Philippe Karr
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Abstract

Improved values of hyperfine coefficients related to the electronic spin-orbit and electron-nucleus spin-spin tensor interactions in the HD$^+$ molecular ion are obtained through numerical calculation of relativistic corrections at the $m\alpha^6$ order and radiative corrections at the $m\alpha^7\ln(\alpha)$ order. The theoretical accuracy is improved by more than one order of magnitude. Some deviations with recent high-precision ro-vibrational spectroscopy experiments are observed, in contrast with the good agreement obtained in H$_2^+$.

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Mohammad Haidar, Vladimir I. Korobov, Laurent Hilico, Jean-Philippe Karr. 2022-09-06. Higher-order corrections to the spin-orbit and spin-spin tensor interactions in HD$^+$. https://doi.org/10.1103/physreva.106.042815

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