Prompt production of $J/ψ$ in the soft gluon resummation approach using the ICEM

In the article, we study prompt $J/ψ$ production at small transverse momentum within the Transverse Momentum Dependent (TMD) factorization. The Soft Gluon Resummation (SGR) approach is used for modelling of TMD PDFs. The hadronization process of heavy charm quarks is described with the Improved Color Evaporation model (ICEM). In order to obtain spectra of $J/ψ$ at the arbitrary transverse momenta, fixed-order calculations within the collinear parton model (CPM) are also applied and further matched with the TMD calculations using the Inverse-Error Weighting (InEW) scheme. We present results of calculations for a wide range of collision energy with the fitting of the relevant nonperturbative parameter of the ICEM. Predictions for the SPD NICA experiment are also provided alongside comparison with the result of calculation using nonrelativistic QCD (NRQCD) framework.