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We study the process $e^{+}e^{-} \rightarrow \pi^{+}\pi^{-}\psi(3686)$ using5.1 $fb^{-1}$ of data collected at 16 center-of-mass energy ($\sqrt{s}$) pointsfrom 4.008 to 4.600$\sim$GeV by the BESIII detector operating at the BEPCIIcollider. The measured Born cross sections for $e^{+}e^{-}\rightarrow\pi^{+}\pi^{-}\psi(3686)$ are consistent with previous results, but with muchimproved precision. A fit to the cross section shows contributions from twostructures: the first has $M=4209.5\pm7.4\pm1.4$$\sim$MeV/$c^{2}$ and$\Gamma=80.1\pm24.6\pm2.9$$\sim$MeV, and the second has$M=4383.8\pm4.2\pm0.8$$\sim$MeV/c$^{2}$ and$\Gamma=84.2\pm12.5\pm2.1$$\sim$MeV, where the first errors are statistical andthe second systematic. The lower-mass resonance is observed in the process$e^{+}e^{-}\rightarrow \pi^{+}\pi^{-}\psi(3686)$ for the first time with astatistical significance of $5.8\sigma$. A charged charmonium-like structure isobserved in the $\pi^{\pm}\psi(3686)$ invariant mass spectrum for data at$\sqrt{s} = 4.416~$GeV. A fit with an $S$-wave Breit-Wigner function yields amass $M=4032.1\pm2.4$~$MeV$^{2}$, where the errors are statistical only.However, there are still unresolved discrepancies between the fit model anddata. The width of the intermediate state varies in a wide range for differentkinematic regions within the data set. Therefore no simple interpretation ofthe data has been found, and a future data sample with larger statistics andmore theoretical input will be required to better understand this issue.

physical review. d/physical review. d.

Measurement of $e^{+}e^{-}\rightarrow \pi^{+}\pi^{-}\psi(3686)$ from  4.008 to 4.600$\sim$GeV and observation of a charged structure in the  $\pi^{\pm}\psi(3686)$ mass spectrum