Meson production in $J/ψ$ decays and $J/ψ\to N\bar{N}γ$ process

Abstract

It is shown that an account for the final-state interaction of real or virtual nucleon and antinucleon produced in the processes $J/ψ\to p\bar{p}γ$, $ψ(2S)\to p\bar{p}γ$, $J/ψ\to p\bar{p}ω$, and $J/ψ\to3\left(π^{+}π^{-}\right)γ$ near the threshold of $N\bar{N}$ pair production allows one to obtain self-consistent description of these processes. Predictions of our model are in good agreement with experimental data available. The proposed potential model also reproduces the corresponding partial cross sections of $p\bar{p}$ scattering.