Spin-orbit interaction in the HD${}^{+}$ ion

Abstract

We report on progress in calculation of the spin-orbit interaction for the HD${}^{+}$ molecular ion. This interaction is currently the largest source of theoretical uncertainty in determination of the hyperfine structure of rovibrational transition lines. The corrections of order $m{\alpha }^7\ln (\alpha )$ are derived and numerically calculated. Theoretical hyperfine intervals are compared with experimental data, and the observed discrepancies are discussed.

6 pages, 1 Figure. PSAS Conference Proceedings

References in corpus (5)

• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• The NRQED lagrangian at order 1/M^4
• 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${}_2^{+}$