Production of $J/Ψ$ on the nucleon and deuteron targets

A coupled-channel model with $\pi N$, $\rho N$ and $J/\Psi N$ channels is developed to predict the $\pi + N \rightarrow J/\Psi + N $ cross sections. The $J/\Psi$-$N$ interaction is parameterized in a form related to what has been predicted by the effective field theory approach and Lattice QCD. The other interactions within the model are constrained by the decay width of $J/\Psi \rightarrow \rho + \pi$ and the total cross section data of $\pi N$ reactions. The calculated meson-baryon amplitudes are then used to predict the cross sections of the $J/\Psi$ production on the deuteron target by including the contributions from the impulse term and the one-loop calculations of the final $NN$ and $J/\Psi N$ re-scattering effects. Predictions of the dependence of the cross sections of $\pi^- + p \rightarrow J/\Psi+ n$, $\gamma + d \rightarrow J/\Psi + n + p$, and $\pi^+ d \rightarrow J/\Psi +p +p$ on the $J/\Psi$-$N$ potentials are presented for experimental determinations of the $J/\Psi$-$N$ interaction. Within the vector meson dominance model, we have also applied the constructed coupled-channel model to predict the $\gamma + p\rightarrow J/\Psi + p$ cross sections near the $J/\Psi$ production threshold.