Abstract
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.
Highlights
Another reaction of meson pair production was investigated recently in the pp-interaction [21]
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
Relativistic corrections to the quark–quark bound state wave functions in the rest frame are considered by means of a Breit-like potential
Summary
Another reaction of meson pair production was investigated recently in the pp-interaction [21]. An account of relativistic and bound state corrections to the cross sections in the case of e+e− annihilation was given in [40]. Single diquark (cc) and baryon cc production in different reactions was studied in [41,42,43] They investigate the production of heavy quarks Q and Q with different color and spin configuration [n] : [n] = [3 S1]3 ̄ (color-antitriplet diquark state), [1 S0]6. In this work we continue the investigation of relativistic effects in double heavy diquark pair production in proton–proton interaction at energies of the LHC on the basis of relativistic quark model. Of diquark pair production in the nonrelativistic approximation and show how these results will be changed after taking account of relativistic corrections
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