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arXiv · 2604.23411

On bound state spectra of the one-electron diatomic ions

Alexei M. Frolov
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Abstract

The total energies of a large number of diatomic (or two-center) one-electron $A^{+} B^{+} e^{-}$ ions with unit electrical charges are determined numerically to high accuracy. Based on these results we derive some accurate mass-interpolation formulas for the total energies of such three-body systems (ions). These formulas can be applied to the both symmetric $A^{+} A^{+} e^{-}$ and non-symmetric $A^{+} B^{+} e^{-}$ diatomic ions. Based on the results obtained in this study we also consider a few actual and currently unsolved problems, which are known for the two-center (or diatomic) one-electron ions.

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Alexei M. Frolov. 2026-04-25. On bound state spectra of the one-electron diatomic ions. https://doi.org/10.13140/rg.2.2.27586.03528

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