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In present work we discuss the production of heavy quarkonia and diquarks in$pp$-interactions. The aim is to take into account the production of boundstates of quarks originating from independent parton scatterings. Thisproduction is regulated by constraints on the invariant mass of constituents.Such an approach leads to larger value of the diquark production cross sectionthan traditional consideration in single parton scattering. This productionmechanism of doubly heavy baryons can sooner be verified by modern experiments(e.g. LHCb). We also discuss related contributions to double and associatedquarkonium production.

Production of quarkonia and doubly heavy baryons in $pp$-collisions with duality approach