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

Abstract

We consider higher-order corrections to hyperfine coefficients related to the spin-orbit and spin-spin tensor interactions in hydrogen molecular ions. The $m{\alpha }^7\ln (\alpha )$-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.

References in corpus (7)

• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• Nonrelativistic QED approach to the Lamb shift
• The NRQED lagrangian at order 1/M^4
• Trapping, cooling, and photodissociation analysis of state-selected H$\_2^{+}$ ions produced by (3+1) multiphoton ionization
• NRQED approach to the fine and hyperfine structure corrections of order $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ -- Application to the hydrogen atom
• 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${}_2^{+}$

Cited by in corpus (1)

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