Are there the VP couplings in the psi(3770) non-charmed decays hidden behind the current experiment measurements?

Abstract

A global analysis of the full amplitudes for \(e^+e^- \to\) VP (Vector and Pseudoscalar) channels at \(\sqrt{s}\) =3.773 GeV and 3.670 GeV, which were measured by the CLEO-c Collaboration, shows that those measurements are essentially nontrivial for searching for the \(\psi(3770)\) non-\(D\bar D\) decays. Unlike the nearly negative verdict on the \(\psi(3770)\) strong decays to the VP channels in the original analysis of the CLEO-c data, there exist some unusual solutions that predict the remarkable strength of SU(3) symmetry VP decay of \(\psi(3770)\) resonance, which give some clue to understand the mechanism of \(\psi(3770)\) non-\(D\bar D\) decays and to reexplain the well-known \(\rho-\pi\) puzzle in the J/\(\psi\) and \(\psi(3686)\) decays.