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.

13 pages, 12 figures

References in corpus (5)

• The electromagnetic form factors of the proton in the timelike region
• Study of psi(2S) Decays to gamma p bar{p}, pi^0 p bar{p} and eta p bar{p} and Search for p bar{p} Threshold Enhancements
• Study of the process $e^{+}{e}^{-}\to n\bar{n}$ at the VEPP-2000 $e^{+}{e}^{-}$ collider with the SND detector
• Energy-dependent partial-wave analysis of all antiproton-proton scattering data below 925 MeV/c
• On the near-threshold $\bar{p}p$ invariant mass spectrum measured in $J/\psi$ and ${\psi }^{\prime }$ decays

Cited by in corpus (8)

• Antinucleon-nucleon interaction at next-to-next-to-next-to-leading order in chiral effective field theory
• Observation of a Fine Structure in $e^{+}{e}^{-}\to$ hadrons Production at the Nucleon-antinucleon Threshold
• Fine structure of the cross sections of $e^{+}{e}^{-}$ annihilation near the thresholds of $p\bar{p}$ and $n\bar{n}$ production
• $J/\psi \to \gamma {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ and the structure observed around the $\bar{p}p$ threshold
• Final-state interaction in the process $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$
• Structure around $p\bar{p}$ threshold in $J/\psi$ radiative decays
• Near-threshold resonance in $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$ process
• Meson production in $J/\psi$ decays and $J/\psi \to N\bar{N}\gamma$ process