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We show that the final-state interaction perfectly explains the recentexperimental data of BESIII Collaboration on the near-threshold invariant-massspectrum of $\Lambda\bar\Lambda$ in the process$e^+e^-\rightarrow\phi\Lambda\bar\Lambda$. The position of peak ininvariant-mass spectrum is above the threshold though the interaction of$\Lambda$ and $\bar\Lambda$ is due to an attractive potential. This potentialhas a simple form and depends only on two parameters. We show that theinvariant-mass spectrum is consistent with the quantum numbers $J^{PC}=1^{++}$and $2^{++}$ of $\Lambda\bar\Lambda$ pair but contradicts to $J^{PC}=2^{-+}$.

Invariant-mass spectrum of $\Lambda\bar\Lambda$ pair in the process $e^+e^-\rightarrow\phi\Lambda\bar\Lambda$