Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: theory and application to H$_2^+$
Atomic Physics
2022-09-14 v1
Abstract
We consider higher-order corrections to hyperfine coefficients related to the spin-orbit and spin-spin tensor interactions in hydrogen molecular ions. The -order radiative correction is derived in the NRQED framework. We present complete numerical calculations, including as well the -order relativistic correction, for the case of H. 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.
Keywords
Cite
@article{arxiv.2207.01535,
title = {Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: theory and application to H$_2^+$},
author = {Mohammad Haidar and Vladimir I. Korobov and Laurent Hilico and Jean-Philippe Karr},
journal= {arXiv preprint arXiv:2207.01535},
year = {2022}
}