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We measured the branching fractions of the decays$\chi_{cJ}\to\Sigma^{-}\bar{\Sigma}^{+}$ for the first time using the finalstates $n\bar{n}\pi^{+}\pi^{-}$. The data sample exploited here is$448.1\times10^{6}$ $\psi(3686)$ events collected with BESIII. We find$\mathcal{B}(\chi_{cJ}\rightarrow\Sigma^{-}\bar{\Sigma}^{+}) =(51.3\pm2.4\pm4.1)\times10^{-5},\, (5.7\pm1.4\pm0.6)\times10^{-5},\, \rm{and}~(4.4\pm1.7\pm0.5)\times10^{-5}$, for $J=0,1,2$, respectively, where the firstuncertainties are statistical and the second systematic.

First Measurements of $\chi_{cJ}\rightarrow \Sigma^{-} \bar{\Sigma}^{+} (J = 0, 1, 2)$ Decays