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Study of resonant structure around 1.8 GeV/$c^2$ and $η(1405)$ in $J/ψ\rightarrowωηπ^+π^-$

We present results of a study of the decay $J/ψ\rightarrowωηπ^+π^-$ using a sample of $(225.2\pm2.8)\times10^6$ $J/ψ$ events collected by the BESIII detector, and report the observation of a new process of $J/ψ\rightarrow ωX(1870)$ in which X(1870) decays to $a_0(980)π$. The statistical significance of this process is larger than $7.2σ$. Signals for $J/ψ\rightarrow ωf_1(1285)$ and $J/ψ\rightarrow ωη(1405)$ are also observed in $ηπ^+π^-$ spectrum, with statistical significances much larger than $10σ$.