Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: Theory and application to H2+

We consider higher-order corrections to hyperfine coefficients related to the spin-orbit and spin-spin tensor interactions in hydrogen molecular ions. The m alpha 7ln(alpha)-order radiative correction is derived in the NRQED framework. We present complete numerical calculations, including as well the m alpha 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.

Automated summary

This study focuses on higher-order corrections to the spin-orbit and spin-spin tensor interactions in hydrogen molecular ions. The authors derive the m alpha 7ln(alpha)-order radiative correction using the NRQED framework. Complete numerical calculations, including the m alpha 6-order relativistic correction, are presented for the case of H-2(+). The theoretical uncertainty is significantly reduced compared to the Breit-Pauli level, to a few ppm. The results are also compared with available rf spectroscopy data.