Observation of $χ_{cJ}(J=0,1,2)\rightarrow p\bar{p}ηη$
Using $(2712.4\pm14.3)\times10^6$ $ψ(3686)$ events collected by the BESIII detector operating at the BEPCII storage ring, the decays $χ_{cJ}(J=0,1,2)\rightarrow p\bar{p}ηη$ are observed for the first time through the radiative transition $ψ(3686)\toγχ_{cJ}$. The statistical significances for $χ_{cJ}$ signals are all larger than 5$σ$. The branching fractions of $χ_{c0,1,2}\to p\bar{p} ηη$ are determined to be $({5.75 \pm 0.59 \pm 0.42}) \times 10^{-5}$, $({1.40 \pm 0.33 \pm 0.17}) \times 10^{-5}$, and $({2.64 \pm 0.40 \pm 0.27}) \times 10^{-5}$, respectively, where the first uncertainties are statistical and the second systematic. No evident resonant structures are found in the $p\bar{p}$ and $pη/\bar{p}η$ systems.