Phases and Amplitudes in Inclusive $Ψ$ and $Ψ'$ Decays
arXiv:hep-ph/9906357 · doi:10.1016/S0370-2693(99)00849-7
Abstract
In inclusive decays of the $Ψ$ (3097), electromagnetic and gluonic annihilation amplitudes add incoherently, namely they are 90$^\circ$ out of phase. We argue that this incoherence must persist in each exclusive decay channel. For inclusive $Ψ'$ (3686) decays, we suggest the absence of a significant direct annihilation amplitude into three gluons and propose a new amplitude via QCD anomalies and the $h_c$ (3526) off shell. Phenomenological implications for exclusive decay channels are pointed out.
10 pages