QED correction for H${}_3^{+}$

Abstract

A quantum electrodynamics (QED) correction surface for the simplest polyatomic and polyelectronic system H${}_3^{+}$ is computed using an approximate procedure. This surface is used to calculate the shifts to vibration-rotation energy levels due to QED; such shifts have a magnitude of up to 0.25 cm${}^{-1}$ for vibrational levels up to 15~000 cm${}^{-1}$ and are expected to have an accuracy of about 0.02 cm${}^{-1}$. Combining the new H${}_3^{+}$ QED correction surface with existing highly accurate Born-Oppenheimer (BO), relativistic and adiabatic components suggests that deviations of the resulting {\it ab initio} energy levels from observed ones are largely due to non-adiabatic effects.

References in corpus (3)

• The Fundamental Vibration of Molecular Hydrogen
• Relativistic corrections of mα^6 order to the ro-vibrational spectrum of H_2^+ and HD^+ molecular ions
• Precision spectroscopy of the hydrogen molecular ions HD${}^{+}$

Cited by in corpus (6)

• Perspective: Accurate ro-vibrational calculations on small molecules
• A global potential energy surface for H${}_3^{+}$
• Visible line intensities of the triatomic hydrogen ion from experiment and theory
• High accuracy calculations of the rotation-vibration spectrum of H${}_3^{+}$
• Sub-percent accuracy for the intensity of a near infrared water line at 10670 cm${}^{-1}$: experiment and analysis
• Numerical evaluations of the isotopic shifts and lowest-order QED corrections for the ground $1^{1}S-$states of the ${}^3$He and ${}^4$He atoms