Dynamical violation of the OZI rule and G parity in the decays of heavy quarkonia.

Abstract

The branching ratios of the decays of the states $\ensuremath{\psi}(3770)$ and $\ensuremath{\Upsilon}(10580)$ into ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, $K\overline{K}$, $\ensuremath{\omega}{\ensuremath{\pi}}^{0}$ $\ensuremath{\omega}\ensuremath{\eta}$, $\ensuremath{\omega}{\ensuremath{\eta}}^{\ensuremath{'}}$, $\ensuremath{\rho}\ensuremath{\pi}$, $\ensuremath{\rho}\ensuremath{\eta}$, $\ensuremath{\rho}{\ensuremath{\eta}}^{\ensuremath{'}}$, ${K}^{*}\overline{K}+\mathrm{c}.\mathrm{c}.$, ${\ensuremath{\rho}}^{+}{\ensuremath{\rho}}^{\ensuremath{-}}$, ${K}^{+}{\overline{K}}^{\ensuremath{-}}$ are evaluated. They proceed via real intermediate states $D\overline{D}$ and $B\overline{B}$, respectively. The sum of calculated branching ratios is 4 \ifmmode\times\else\texttimes\fi{} ${10}^{\ensuremath{-}3}$ and 5 \ifmmode\times\else\texttimes\fi{} ${10}^{\ensuremath{-}3}$, respectively, assuming the quark-antiquark content of the $\ensuremath{\psi}(3770)$ and $\ensuremath{\Upsilon}(10580)$. The cited values exceed corresponding three-gluon branching ratios by an order of magnitude. The study of the above decays at the $\ensuremath{\tau}$-charm and $B$ factories would permit us to obtain new valuable information about the $D\overline{D}$ [$B\overline{B}$] interaction near threshold and, in particular, to solve the problem of whether the state $\ensuremath{\psi}(3770)$ [$\ensuremath{\Upsilon}(10580)$] is a $D\overline{D}$ [$B\overline{B}$] molecule. The intensities of the decays $\ensuremath{\psi}(4040)\ensuremath{\rightarrow}{D}_{s}{\overline{D}}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}\ensuremath{\eta}({\ensuremath{\eta}}^{\ensuremath{'}})$, $\ensuremath{\psi}(3770)\ensuremath{\rightarrow}D\overline{D}\ensuremath{\rightarrow}\frac{J}{\ensuremath{\psi}}(1S)+{\ensuremath{\pi}}^{o}(\ensuremath{\eta})$, and $\ensuremath{\Upsilon}(10580)\ensuremath{\rightarrow}B\overline{B}\ensuremath{\rightarrow}\ensuremath{\Upsilon}(1S)+{\ensuremath{\pi}}^{o}(\ensuremath{\eta})$ are also evaluated.