Abstract
In this proceeding we discuss different mechanisms of open-heavy flavor meson production which contribute to inclusive and single diffractive cross-sections. For the case of inclusive production we demonstrate that the three-Pomeron fusion is significant for the DD-meson production in the kinematics of small transverse momenta p_{T}pT, as well as in large-multiplicity events. Its inclusion allows to improve significantly the description of experimental data. We also analyzed the diffractive production and found that due to gap survival factors it constitutes 0.5 percent of the inclusive production. The expected dependence on event multiplicity in this channel is significantly milder than for inclusive case.
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