γ-ray cascade decays fromψ′(3684)toψ(3095)

Abstract

The consequences of the existence of the $\ensuremath{\gamma}$-ray cascade decay, ${\ensuremath{\psi}}^{\ensuremath{'}}(3684)\ensuremath{\rightarrow}\ensuremath{\gamma}+X$ and $X\ensuremath{\rightarrow}\ensuremath{\gamma}+\ensuremath{\psi}(3095)$, are examined. The kinematics of the resulting $2\ensuremath{\gamma}$ mass spectrum together with the observed dynamics of the neutral missing mass in ${\ensuremath{\psi}}^{\ensuremath{'}}(3684)\ensuremath{\rightarrow}\ensuremath{\psi}(3095)+\mathrm{neutrals}$ are shown to be of such a form that a stringent upper limit can be placed on the sum of all such transitions.