Interaction of real and virtual $p\bar{p}$ pairs in $J/\psi \to p\bar{p}\gamma (\rho ,\omega )$ decays

Abstract

The $p\bar{p}$ invariant mass spectra of the processes $J/\psi \to p\bar{p}\omega$, $J/\psi \to p\bar{p}\rho$, and $J/\psi \to p\bar{p}\gamma$ close to the $p\bar{p}$ threshold are calculated by means of the $N\bar{N}$ optical potential. The potential model for $N\bar{N}$ interaction in the ${}^1{S}_0$ state is proposed. The parameters of the model are obtained by fitting the cross section of $N\bar{N}$ scattering together with the $p\bar{p}$ invariant mass spectra of the $J/\psi$ decays. Good agreement with the available experimental data is achieved. Using our potential and the Green's function approach we also describe the peak in the ${\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ invariant mass spectrum in the decay $J/\psi \to \gamma {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ in the energy region near the $N\bar{N}$ threshold.

Comments: 13 pages, 12 figures