Study on the Resonant Parameters of $Y$ (4220) and $Y$ (4390)

Zhang, Jielei  (College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang 464000, China) ; Yuan, Limin (College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang 464000, China) ; Wang, Rumin (College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang 464000, China)

18 November 2018

Abstract: Many vector charmonium-like states have been reported recently in the cross sections of ${e}^{+}{e}^{-}\to \omega {\chi }_{c\mathrm{0}}$ , ${\pi }^{+}{\pi }^{-}{h}_{c}$ , ${\pi }^{+}{\pi }^{-}J/\psi$ , ${\pi }^{+}{\pi }^{-}\psi \left(\mathrm{3686}\right)$ , and ${\pi }^{+}{D}^{\mathrm{0}}{D}^{⁎-}+c.c.$ To better understand the nature of these states, a combined fit is performed to these cross sections by using three resonances $Y\left(\mathrm{4220}\right)$ , $Y\left(\mathrm{4390}\right)$ , and $Y\left(\mathrm{4660}\right)$ . The resonant parameters for the three resonances are obtained. We emphasize that two resonances $Y\left(\mathrm{4220}\right)$ and $Y\left(\mathrm{4390}\right)$ are sufficient to explain these cross sections below 4.6 GeV. The lower limits of $Y\left(\mathrm{4220}\right)$ and $Y\left(\mathrm{4390}\right)$ ’s leptonic decay widths are also determined to be $\left(\mathrm{36.4}±\mathrm{2.0}±\mathrm{4.2}\right)$ and $\left(\mathrm{123.8}±\mathrm{6.5}±\mathrm{9.0}\right)$ eV.

Published in: Advances in High Energy Physics 2018 (2018) 5428734