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Based on $4.481\times10^8$ $\psi(3686)$ events collected with the BESIIIdetector at BEPCII, the branching fraction of the isospin violating decay$\psi(3686)\rightarrow\bar{\Sigma}^{0}\Lambda+c.c.$ is measured to be $(1.60\pm 0.31 \pm 0.13~\pm~0.58) \times 10^{-6}$, where the first uncertainty isstatistical, the second is systematic, and the third is the uncertainty arisingfrom interference with the continuum. This result is significantly smaller thanthe measurement based on CLEO-c data sets. The decays $\chi_{cJ}\rightarrow\Lambda\bar{\Lambda}$ are measured via$\psi(3686)\rightarrow\gamma\chi_{cJ}$, and the branching fractions aredetermined to be$\mathcal{B}\left(\chi_{c0}\rightarrow\Lambda\bar{\Lambda}\right)=(3.64 \pm0.10 \pm 0.10 \pm 0.07)\times 10^{-4}$,$\mathcal{B}\left(\chi_{c1}\rightarrow\Lambda\bar{\Lambda}\right)=(1.31\pm0.06\pm 0.06 \pm0.03)\times 10^{-4}$,$\mathcal{B}\left(\chi_{c2}\rightarrow\Lambda\bar{\Lambda}\right)=(1.91\pm0.08\pm 0.17 \pm0.04)\times 10^{-4}$, where the third uncertainties are systematicdue to the $\psi(3686) \rightarrow \gamma \chi_{c J}$ branching fractions.

physical review. d/physical review. d.

Measurements of the branching fractions of  $\psi(3686)\rightarrow\bar{\Sigma}^{0}\Lambda+c.c.$ and $\chi_{cJ (J =  0,1,2)} \rightarrow \Lambda \bar{\Lambda}$