and in Ref. [@FH] include the appearance of certain unsuppressed light-quark decay modes of the $\pp$ and the lack of evidence for helicity suppression in $J/\psi$ decays involving a single virtual photon.

As Suzuki has noted, the cases of suppressed hadronic final states of the $\pp$ cannot extend to all its decays; indeed, the total hadronic width of $\pp$ exceeds estimates based on extrapolating from the $J/\psi$ using perturbative QCD by some 60–70% [@Suz01; @GL]. The non-perturbative effect of coupling to virtual charmed particle pairs, followed by the re-annihilation of these pairs into non-charmed final states, must thus be responsible for some tens of keV of the total width of the $\pp$ in Suzuki’s scheme.

A corresponding effect in the decays of the $\ppp$, which is about 85 times as wide as the $\pp$, would contribute at most a percent to its total width. Present searches for non-charmed decays of the $\ppp$ [@Zhu; @Walid] are not sensitive enough to exclude this possibility since they did not compare on-resonance data with data taken off-resonance at a sufficiently close energy [@JTpc].

A related method allows one to estimate the partial decay rate of $\ppp$ to non-charmed final states. The branching ratio ${\cal 