Decays of the vector charmonium and bottomonium hybrids

TL;DR

This paper calculates the decay widths of vector charmonium and bottomonium hybrid mesons using QCD sum rules, providing predictions that aid future experimental identification of these exotic states.

Contribution

It introduces a QCD three-point sum rule approach to evaluate decay widths of hybrid mesons, offering new theoretical predictions for their decay patterns.

Findings

Full widths: $ ext{H}_c$ = 234.1 ± 37.4 MeV, $ ext{H}_b$ = 78.8 ± 15.4 MeV

Decay modes analyzed include $D^{+}D^{-}$, $D_{0}ar{D}_{0}$, $D_s^{+}D_s^{-}$, $B^{+}B^{-}$, $B_{0}ar{B}_{0}$

Results support future experimental studies of hybrid mesons.

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.