Leading-order QED effects in the ground electronic state of molecular hydrogen

Abstract

We perform highly accurate calculations of the leading order QED correction to the ground electronic state of molecular hydrogen. Numerical results are obtained for a grid of the internuclear distances $R=0-10$ au with the relative precision of about $10^{-8}$. The major numerical uncertainty of previous QED results [K. Piszczatowski et al., JCTC $\text{5}$, 3039 (2009)] has been eliminated. Nevertheless, the discrepancy with measurements in HD at the level of 1.9 $\sigma$ persists.

arXiv comment9 pages, 2 figures, 2 tables

References in corpus (16)

• Theory of Light Hydrogenlike Atoms
• Born-Oppenheimer potential for H${}_2$
• Theoretical energies of low-lying states of light helium-like ions
• Sub-Doppler frequency metrology in HD for test of fundamental physics
• Rovibrational energy levels of the hydrogen molecule through nonadiabatic perturbation theory
• Nonadiabatic QED correction to the dissociation energy of the hydrogen molecule
• Nonadiabatic corrections to the wave function and energy
• Relativistic corrections for the ground electronic state of molecular hydrogen
• Lamb-dips and Lamb-peaks in the saturation spectrum of HD
• Nonadiabatic relativistic correction in H${}_2$, D${}_2$, and HD
• Sub-ppb measurement of a fundamental band rovibrational transition in HD
• Dissociation Energy of Molecular Hydrogen Isotopologues
• Calculation of the nonrelativistic Bethe logarithm in the velocity gauge
• Bethe logarithm for the helium atom
• Rotational level spacings in HD from vibrational saturation spectroscopy
• Evaluation of the Bethe logarithm: from atom to chemical reaction

Cited by in corpus (1)

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