The vector charmoniumlike state $Y(4220)$ was reported recently in the cross sections of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{h}_c$, $\omega {\chi }_{c0}$, ${\pi }^{+}{\pi }^{-}J/\psi$, and $D^0{D}^{*-}{\pi }^{+}+\mathrm{c}.\mathrm{c}.$ measured by the BESIII experiment. A combined fit is performed to the cross sections of these four final states to measure the resonant parameters of the $Y(4220)$. We determine a mass $M=(4219.6\pm 3.3\pm 5.1)\mathrm{MeV}/c^2$ and a total width $\mathrm{\Gamma }=(56.0\pm 3.6\pm 6.9)\mathrm{MeV}$ for the $Y(4220)$, where the first uncertainties are statistical and the second ones systematic. We determine the lower limit of its leptonic decay width of around 30 eV, which can be compared with the theoretical expectations of different models. We also estimate its partial decay width to $\pi \pi J/\psi$ in different scenarios. This information is essential for the understanding of the nature of this state.

• Received 8 April 2017

DOI:https://doi.org/10.1103/PhysRevD.95.092007