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On the basis of perturbative QCD and relativistic quark model we calculaterelativistic and bound state corrections in the production processes of a pairof double heavy diquarks. Relativistic factors in the production amplitudeconnected with the relative motion of heavy quarks and the transformation lawof the bound state wave function to the reference frame of the moving diquarkS-wave bound states are taken into account. For the gluon and quark propagatorsentering the production vertex function we use a truncated expansion in theratio of the relative quark momenta to the center-of-mass energy s up to thesecond order. Relativistic corrections to the quark-quark bound state wavefunctions in the rest frame are considered by means of the Breit-likepotential. It turns out that examined effects change essentiallynonrelativistic results of the cross sections. The estimate of the yield ofpairs of double heavy baryons (ccq) at the B-factory is presented.

Relativistic corrections to the pair double heavy diquark production in e^+e^- annihilation