We evaluate the light baryonium spectrum, viz. the baryon-antibaryon states, in the framework of QCD sum rules. The nonperturbative contributions up to dimension 12 are taken into account. Numerical results indicate that there might exist eight possible light baryonium states, i.e. $p$-$\bar{p}$, $Λ$-$\barΛ$, $Σ$-$\barΣ$, and $Ξ$-$\barΞ$ with quantum numbers of $0^{-+}$ and $1^{--}$. For the $Λ$-$\barΛ$, $Σ$-$\barΣ$, and $Ξ$-$\barΞ$ states, their masses are found above the corresponding dibaryon thresholds, while the masses of $p$-$\bar{p}$ states are not. The possible baryonium decay modes are analyzed, which are hopefully measurable in BESIII, BELLEII, and LHCb experiments.

32 pages, 4 figures, accepted by PRD