Study of electromagnetic Dalitz decays $χ_{cJ} \rightarrow μ^{+}μ^{-}J/ψ$

Abstract

Using $4.48 \times 10^{8}$ $ψ(3686)$ events collected with the BESIII detector, we search for the decays $χ_{cJ} \rightarrow μ^{+}μ^{-}J/ψ$ through the radiative decays $ψ(3686) \rightarrow γχ_{cJ}$, where $J=0,1,2$. The decays $χ_{c1,2} \rightarrow μ^{+}μ^{-}J/ψ$ are observed, and the corresponding branching fractions are measured to be $\mathcal{B}(χ_{c1} \rightarrow μ^{+}μ^{-}J/ψ) = (2.51 \pm 0.18 \pm 0.20)\times10^{-4}$ and $\mathcal{B}(χ_{c2} \rightarrow μ^{+}μ^{-}J/ψ) = (2.33 \pm 0.18 \pm 0.29)\times10^{-4}$, where the first uncertainty is statistical and the second one systematic. No significant $χ_{c0} \rightarrow μ^{+}μ^{-}J/ψ$ decay is observed, and the upper limit on the branching fraction is determined to be $2.0\times10^{-5}$ at 90% confidence level. Also, we present a study of di-muon invariant mass dependent transition form factor for the decays $χ_{c1,2} \rightarrow μ^{+}μ^{-}J/ψ$.