Inclusive charmonium production at PANDA experiment

The production of the charmonium states in proton-antiproton experiments is considered at the energy rates near threshold in NLO. Such a consideration allows one to obtain non zero distributions over the transverse momentum of the final charmonium and gives a natural explanation to the existence of $\chi_{c1}$-meson in final state, that is observed experimentally and cannot be produced in leading order processes. The crucial role of scale parameter choice in $\alpha_s (Q^2)$ and partonic distributions $f(x,Q^2)$ shown, and the correct choice offered.