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This is a Quantitative Study study.

October 2, 2025Open Access

Rovibrational computations for He₂^+ X^+\ Σᵤ^+ including non-adiabatic, relativistic and QED corrections

Key Points

All rovibrational bound states of He₂⁺ were computed with a high level of accuracy, estimated at 0.005 cm⁻¹.
The potential energy curve was derived using both non-adiabatic and relativistic corrections essential to the study.
This improved analysis includes higher-order QED and finite-nuclear size effects that were not addressed in previous studies.
Error control measures were enhanced, allowing for broader configuration range assessments compared to earlier efforts.

Abstract

We report the potential energy curve, the diagonal Born-Oppenheimer, non-adiabatic mass, relativistic, and leading-order QED corrections for the ground electronic state of the helium dimer cation; the higher-order QED and finite-nuclear size effects are also estimated. The computations are carried out with an improved error control and over a much broader configuration range compared to earlier work D. Ferenc, V. I. Korobov, and E. Mátyus, Phys. Rev. Lett. 125, 213001 (2020). As a result, all rovibrational bound states are reported with an estimated accuracy of 0. 005 cm^-1.

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