New variational calculations provide the second-order mα^6 and mα^6(m/M) energy corrections for H2+ and HD+ ro-vibrational states with relative numerical uncertainty below 10^-5.
Relativistic recoil corrections of order \boldmath$m(Z\alpha)^6(m/M)$: Hydrogen-like atom and hydrogen molecular ion
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abstract
The finite operators are derived for the recoil $m\alpha^6(m/M)$ order relativistic corrections (to spin-averaged energy levels) in hydrogen-like atoms and ions in the two- and three-body formalism beyond the adiabatic approximation. Results are presented in a form suitable for numerical evaluation.
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Second-order corrections of orders $m\alpha^6$ and $m\alpha^6(m/M)$ to the spin-averaged energy in the HD$^+$ and H$_2^+$ ions
New variational calculations provide the second-order mα^6 and mα^6(m/M) energy corrections for H2+ and HD+ ro-vibrational states with relative numerical uncertainty below 10^-5.