Precision measurements of branching fractions for $ψ'\toπ^0 Jψ$ and $ηJψ$

We present a precision study of the $\psip\toπ^0 J/ψ$ and $ηJ/ψ$ decay modes. The measurements are obtained using $106\times10^6$ $ψ'$ events accumulated with the BESIII detector at the BEPCII $\ee$ collider operating at a center-of-mass energy corresponding to the $\psip$ mass. We obtain $\mathcal{B}(\psip\toπ^0 J/ψ)=(1.26\pm0.02{\rm (stat.)}\pm0.03{\rm (syst.)})\times 10^{-3}$ and $\mathcal{B}(\psip\toηJ/ψ)=(33.75\pm0.17{\rm (stat.)}\pm0.86{\rm (syst.)})\times 10^{-3}$. The branching fraction ratio $R=\frac{\mathcal{B}(\psip\toπ^0 J/ψ)}{\mathcal{B}(\psip\toηJ/ψ)}$ is determined to be $(3.74\pm0.06 {\rm(stat.)}\pm0.04 {\rm(syst.)})\times 10^{-2}$. The precision of these measurements of $\mathcal{B}(\psip\toπ^{0} J/ψ)$ and $R$ represent a significant improvement over previously published values.

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