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This work concerns \emph{ab initio} calculations of the complete potentialenergy curve and spectroscopic constants for the ground state $X^1\Sigma_g^+$of the beryllium dimer, Be$_2$. High accuracy and reliability of the results isone of the primary goals of the paper. To this end we apply large basis sets ofSlater-type orbitals combined with high-level electronic structure methodsincluding triple and quadruple excitations. The effects of the relativity arealso fully accounted for in the theoretical description. For the first time theleading-order quantum electrodynamics effects are fully incorporated for amany-electron molecule. Influence of the finite nuclear mass corrections(post-Born-Oppenheimer effects) turns out to be completely negligible for thissystem. The predicted well-depth ($D_e=934.5\pm2.5\,\mbox{cm}^{-1}$) and thedissociation energy ($D_0=808.0\,\mbox{cm}^{-1}$) are in a very good agreementwith the most recent experimental data. We confirm the existence of the weaklybound twelfth vibrational level [Patkowski et al., Science 326, 1382 (2009)]and predict that it lies just about 0.5 $\mbox{cm}^{-1}$ below the onset of thecontinuum.

Ab initio potential energy curve for the ground state of beryllium dimer