Abstract
Calculations of the hadronic -mesons production performed in the framework of the perturbative QCD taking into account Feynmann diagrams are presented. A comparison of the exact calculations with those based on the fragmentation model of shows the large discrepancy between them. The exact calculations of the -mesons production cross-sections as the function of at the energy of the FNAL Tevatron ( TeV) are given. The predicted ratio of the vector to the pseudoscalar state cross-sections is about instead of for the fragmentation model.
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