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We report ab initio calculations of the X $^2 \Sigma_{u}^+ $ and B $^2\Sigma_{g}^+$ states of the Be$_{2}^+$ dimer. Full valence configurationinteraction calculations were performed using the aug-cc-pVnZ basis sets andthe results were extrapolated to the CBS limit. Core-core, core-valence effectsare included at the CCSDT/MTsmall level of theory. Two local minima, separatedby a large barrier, are found in the expected repulsive B $^2 \Sigma_{g}^+$state. Spectroscopic constants have been calculated and good agreement is foundwith the recent measurements of Merritt et al. Bound vibrational levels,transition moments and lifetimes have also been calculated.

Ab initio potential curves for the X $^2 \Sigma_{u}^+$ and B $^2 \Sigma_{g}^+$ states of Be$_{2}^+$: Existence of a double minimum