Abstract

In the framework of perturbative QCD and nonrelativistic bound state formalism, we calculate the production of $J/\ensuremath{\psi}$ mesons associated with open-charm particles at HERA and Tevatron conditions. We show that the contribution from $J/\ensuremath{\psi}+c+\overline{c}$ channel becomes comparable with that of $J/\ensuremath{\psi}$ sole production at high $J/\ensuremath{\psi}$ transverse momenta (approximately, at ${p}_{\ensuremath{\psi},T}>10\text{ }\text{ }\mathrm{GeV}$). We investigate the $J/\ensuremath{\psi}$ polarization effects and kinematic correlations between $J/\ensuremath{\psi}$ mesons and the accompanying open-charmed mesons. We show that the correlations are sensitive to the initial ${k}_{t}$ of the colliding partons, and so, can be considered as an additional test discriminating the collinear parton model and the ${k}_{t}$-factorization approach.

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