International Conference on Exotic Atoms and Related Topics - EXA2017

The $p\bar{p}$ invariant mass spectra of the processes $J/\psi\to p\bar{p}\pi^0$, $J/\psi\to p\bar{p}\eta$, $J/\psi\to p\bar{p}\omega$, $J/\psi\to p\bar{p}\rho$, 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 simple potential model for $N\bar{N}$ interaction in the $^{1}S_{0}$ and $^{3}S_{1}$ states is proposed. The parameters of the model are obtained by fitting the cross sections of $N\bar{N}$ scattering together with the cross sections of $N\bar{N}$ production in $e^+e^-$ annihilation and 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 $\eta'\pi^{+}\pi^{-}$ invariant mass spectrum in the decay $J/\psi\to\gamma\eta'\pi^{+}\pi^{-}$ in the energy region near the $N\bar{N}$ threshold.