Decays of the vector charmonium and bottomonium hybrids

Abstract

The full widths of the vector charmonium and bottomonium hybrid mesons $H_{ \mathrm{c}}$ and $H_{\mathrm{b}}$, characterized by the quantum numbers $1^{ \mathrm{--}}$, are determined by analyzing their dominant strong decay modes: $H_{\mathrm{c}} \to D^{+}D^{-}$, $D_{0}\overline{D}_{0}$, $ D_{s}^{+}D_{s}^{-} $ and $H_{\mathrm{b}} \to B^{+}B^{-}$, $B_{0}\overline{B} _{0}$. To evaluate the partial widths of these channels, we employ the QCD three-point sum rule approach, which provides a reliable method for extracting the strong coupling constants at the relevant hybrid-meson-meson interaction vertices. Based on this analysis, the full widths of these hybrid quarkonia are found to be $\Gamma _{H_{\mathrm{c}}} =(234.1\pm 37.4)~ \mathrm{MeV} $ and $\Gamma _{H_{\mathrm{b}}} =(78.8\pm 15.4)~\mathrm{MeV} $ . These results are expected to facilitate the interpretation of future experimental data concerning the spectroscopy and decay patterns of exotic charmonium- and bottomonium-like hybrid mesons.