Measurement of the Branching Fraction for the Decay ${\chi }_{cJ}\to p\bar{p}\eta {\pi }^0$

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