Prompt polarized $J/\psi$ production at NICA within NRQCD and generalized parton model

In our work we consider prompt $J/\psi$ and $\psi'$ production within the approaches of nonrelativistic quantum chromodynamics and generalized parton model. We use various experimental data ($\sqrt{s} = 200$ GeV and $\sqrt{s} = 19.4$ GeV) of charmonium production to fit octet nonperturbative matrix elements and averaged values of initial partons' transverse momenta. Further, we make evaluation with the extracted parameters and predict $J/\psi$ production cross section and polarization of $J/\psi$ and $\psi'$ at NICA collider energy $\sqrt{s}=27$ GeV.