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

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${}_2^{+}$.

References in corpus (5)

• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• Hyperfine structure of the first rotational level in H${}_2$, D${}_2$ and HD molecules and the deuteron quadrupole moment
• Hyperfine structure in the H${}_2^{+}$ and HD${}^{+}$ molecular ions at $m{\alpha }^6$ order
• Higher-order corrections to spin-spin scalar interactions in HD${}^{+}$ and H${}_2^{+}$
• Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: theory and application to H${}_2^{+}$