Measurement of Branching Fractions of $ψ(3686)\rightarrowϕη^\prime, ϕf_1(1285)$ and $ϕη(1405)$
Using a sample of $448.1\times10^6$ $ψ(3686)$ events collected with the BESIII detector, we perform a study of the decay $ψ(3686) \rightarrow ϕπ^{+}π^{-}η$. The branching fraction of $ψ(3686)\rightarrowϕη^\prime$ is determined to be $(1.51\pm0.16\pm0.12)\times 10^{-5}$, which is consistent with the previous measurement but with significantly improved precision. The resonances $f_{1}(1285)$ and $η(1405)$ are clearly observed in the $π^{+}π^{-}η$ mass spectrum with statistical significances of $18σ$ and $9.7σ$, respectively. The corresponding product branching fractions are measured to be $\mathcal{B}(ψ(3686)\rightarrowϕf_{1}(1285),f_{1}(1285)\rightarrowπ^{+}π^{-}η) =(1.03\pm0.10\pm0.09)\times 10^{-5}$ and $\mathcal{B}(ψ(3686)\rightarrowϕη(1405),η(1405)\rightarrowπ^{+}π^{-}η) =(8.46\pm1.37\pm0.92)\times 10^{-6}$.