Measurement of the Branching Fraction for the Decay $χ_{cJ}\to p\bar{p}ηπ^{0}$
Using $(2712.4\pm 14.3)\times10^6 ψ(3686)$ events collected by the BESIII detector operating at the BEPCII collider, we present the first observations of the decays $χ_{cJ}(J=0,1,2)\to p\bar{p}ηπ^{0}$. Their decay branching fractions are determined to be ${\cal B}(χ_{c0}\to p\bar{p}ηπ^{0})=({2.41 \pm 0.07 \pm 0.19}) \times 10^{-4}$, ${\cal B}(χ_{c1}\to p\bar{p}ηπ^{0})=({1.95 \pm 0.05 \pm 0.12}) \times 10^{-4}$, and ${\cal B}(χ_{c2}\to p\bar{p}ηπ^{0})=({1.31 \pm 0.05 \pm 0.08}) \times 10^{-4}$, where the first uncertainties are statistical and the second systematic.