Nonadiabatic relativistic correction in H${}_2$, D${}_2$, and HD

Abstract

We calculate the nonadiabatic relativistic correction to rovibrational energy levels of H${}_2$, D${}_2$, and HD molecules using the nonadiabatic perturbation theory. This approach allows one to obtain nonadiabatic corrections to all the molecular levels with the help of a single effective potential. The obtained results are in very good agreement with the previous direct calculation of nonadiabatic relativistic effects for dissociation energies and resolve the reported discrepancies of theoretical predictions with recent experimental results.

arXiv comment8 pages, 1 figure

References in corpus (8)

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• Dissociation energy of the hydrogen molecule at 10${}^{-9}$ accuracy
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• Non-adiabatic, Relativistic, and Leading-order QED Corrections for Rovibrational Intervals of ${}^4$He${}_2^{+}$ ($X{}^2{\Sigma }_{\mathrm{u}}^{+}$)
• Precision measurement of the fundamental vibrational frequencies of tritium-bearing hydrogen molecules: T${}_2$, DT, HT
• Hyperfine structure in the HD molecule
• Leading-order QED effects in the ground electronic state of molecular hydrogen
• Hyperfine components of all rovibrational quadrupole transitions in the H${}_2$ and D${}_2$ molecules
• Rotational level spacings in HD from vibrational saturation spectroscopy
• Accurate Born-Oppenheimer potentials for excited ${\Sigma }^{+}$ states of the hydrogen molecule
• Photolysis production and spectroscopic investigation of the highest vibrational states in H${}_2$ (X${}^1{\Sigma }_g^{+}$ $v=13,14$)
• Born-Oppenheimer potentials for $\Pi$, $\Delta$, and $\Phi$ states of the hydrogen molecule
• Vibronic mass computation for the $EF$-$GK$-$H\bar{H}$ ${}^1{\Sigma }_{\text{g}}^{+}$ manifold of molecular hydrogen
• Nonrelativistic energy of tritium-containing hydrogen molecule isotopologues
• A Study of New Physics Searches with Tritium and Similar Molecules
• Benchmark potential energy curve for collinear H${}_3$
• Precision measurement of quasi-bound resonances in H${}_2$ and the H + H scattering length
• Shape resonances in H${}_2$ as photolysis reaction intermediates
• Spectroscopic study of the F${}^1{\Sigma }_g^{+}$ outer well state in H${}_2$, HD and D${}_2$
• The quasi bound spectrum of H2
• Analysis of the first infrared spectrum of quasi-bound H2 line emission in Herbig-Haro 7