  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 S-wave
diquark bound states are taken into account. For the gluon and quark
propagators entering the amplitudes we use a truncated expansion in relative
quark momenta 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 the examined effects
significantly decrease nonrelativistic cross sections.
