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Searches for isospin-violating transitions $χ_{c0,2} \rightarrow π^{0} η_{c}$

We present the first upper-limit measurement of the branching fractions of the isospin-violating transitions $χ_{c0,2} \rightarrow π^{0} η_{c}$. The measurements are performed using $106\times 10^{6}$ $ψ(3686)$ events accumulated with the BESIII detector at the BEPCII $e^{+}e^{-}$ collider at a center-of-mass energy corresponding to the $ψ(3686)$ mass. We obtained upper limits on the branching fractions at a 90\% confidence level of $B(χ_{c0} \rightarrow π^{0} η_{c}) < 1.6 \times 10^{-3}$ and $B(χ_{c2} \rightarrow π^{0} η_{c}) < 3.2 \times 10^{-3}$.