Observation of $χ_{cJ}\to 3K_S^0K^\pmπ^\mp$
By analyzing $(2712.4\pm14.3)\times10^6$ $ψ(3686)$ events collected with the BESIII detector operating at the BEPCII collider, the decays $χ_{c0,1,2} \to 3K_S^0K^\pmπ^\mp$ are observed for the first time with statistical significances greater than $10σ$. The branching fractions of these decays are determined to be $\mathcal{B}(χ_{c0}\to 3K_S^0K^\pmπ^\mp )=(7.95\pm0.50\pm0.65)\times10^{-5},$ $\mathcal{B}(χ_{c1}\to 3K_S^0K^\pmπ^\mp)=(2.62\pm0.08\pm0.19)\times10^{-4},$ and $\mathcal{B}(χ_{c2}\to 3K_S^0K^\pmπ^\mp)=(1.72\pm0.07\pm0.15)\times10^{-4},$ where the first uncertainties are statistical and the second systematic.