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Using data samples with a total integrated luminosity of $20.1~\rm fb^{-1}$collected by the BESIII detector operating at the BEPCII collider, the crosssection of the process $e^+e^- \rightarrow \pi^+\pi^-\psi(3686)$ is measured atcenter-of-mass energies between 4.0076 and 4.6984 GeV. The measured crosssection is consistent with previous results, but with much improved precision.A fit to the measured energy-dependent cross section, which includes threeBreit-Wigner functions and a non-resonant contribution, confirms the existenceof the charmonium-like states $Y(4220)$, $Y(4390)$, and $Y(4660)$. This is thefirst observation of the $Y(4660)$ at the BESIII experiment.

Cross Section Measurement of $e^+e^- \rightarrow \pi^+\pi^-\psi(3686)$ from $\sqrt{s}=4.0076$~GeV to 4.6984~GeV