Review of Experimental Studies of $\psi (3770)$ non-$D\bar{D}$ Decays

We review the progress on experimental studies of the non-$D\bar{D}$ decays of the $\psi (3770)$ resonance. With the world average of the observed cross sections for $D\bar{D}$ production measured at 3.773 GeV by the MARK-I, MARK-II, BES and CLEO Collaborations, combined together with the cross section for $\psi (3770)$ production at its peak as well as initial state radiative correction factor, we find that the non-$D\bar{D}$ branching fraction of $\psi (3770)$ decays is $B[\psi(3770)\to {\rm non}-D\bar D]=(19.8\pm 1.8 \pm 5.6)%$,whichisconsistentwithinerrorwith$B[\psi(3770)\to {\rm non}-D\bar D]=(14.7\pm 3.2)%$ measured previously by the BES Collaboration. In addition, a global amplitude analysis of the cross sections for $e^{+}{e}^{-}\to \mathrm{L}\mathrm{H}$ (LH= light hadron) measured by the CLEO Collaboration shows that the light hadron branching fraction of $\psi (3770)$ decays can be as large as about 11%. Combing the totally measured hadronic and electromegnatic transition rate together with the light hadron branching fraction in the decays of $\psi (3770)$ yields the total non-$D\bar{D}$ branching fraction in the decays of $\psi (3770)$ to be about 13%.