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arXiv · 2207.01535

Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: theory and application to H$_2^+$

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

We consider higher-order corrections to hyperfine coefficients related to the spin-orbit and spin-spin tensor interactions in hydrogen molecular ions. The $mα^7 \ln(α)$-order radiative correction is derived in the NRQED framework. We present complete numerical calculations, including as well the $mα^6$-order relativistic correction, for the case of H$_2^+$. The theoretical uncertainty is reduced by more than one order of magnitude with respect to the Breit-Pauli level, down to a few ppm. We also compare our results with available rf spectroscopy data.

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Mohammad Haidar, Vladimir I. Korobov, Laurent Hilico, Jean-Philippe Karr. 2022-07-04. Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: theory and application to H$_2^+$. https://doi.org/10.1103/physreva.106.022816

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