$\mathbf{J/\psi~c\bar c}$ production in $\mathbf{e^+e^-}$ and hadronic interactions

Predictions of the nonperturbative Quark Gluon Strings model, based on the $1/N$-expansion in QCD and string picture of interactions for production of states containing heavy quarks are considered. Relations between fragmentation functions for different states are used to predict the fragmentation function of $c$-quark to $J/\psi$-mesons. The resulting cross section for $J/\psi$-production in $e^+e^-$-annihilation is in a good agreement with recent Belle result. It is argued that associated production of $c\bar c$ states with open charm should give a substantial contribution to production of these states in hadronic interactions at very high energies.