  On the basis of perturbative QCD and relativistic quark model we calculate
relativistic and bound state corrections in the production processes of a pair
of double heavy diquarks. Relativistic factors in the production amplitude
connected with the relative motion of heavy quarks and the transformation law
of the bound state wave function to the reference frame of the moving diquark
S-wave bound states are taken into account. For the gluon and quark propagators
entering the production vertex function we use a truncated expansion in the
ratio of the relative quark momenta to the center-of-mass energy s up to the
second order. Relativistic corrections to the quark-quark bound state wave
functions in the rest frame are considered by means of the Breit-like
potential. It turns out that examined effects change essentially
nonrelativistic results of the cross sections. The estimate of the yield of
pairs of double heavy baryons (ccq) at the B-factory is presented.
