Charmonium production in the TMD factorization using the Improved Color Evaporation Model

In the article, the study of unpolarized $J/\psi$ production in proton-proton collisions is presented. The Soft Gluon Resummation approach as a TMD framework was used for description of small-$p_T^{}$ production cross section. The Improved Color Evaporation model was considered as an approach to describe hadronization of produced quarks into charmonium state. We find that the experimental data at various center-of-mass energies $\sqrt{s}$ demonstrate the dependence of hadronization parameter $F^{J/\psi}$ on energy. The predictions for $J/\psi$ production in the kinematics of the SPD NICA experiment have been made.