Pair double heavy diquark production in high energy proton–proton collisions

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 a Breit-like potential. It turns out that the examined effects significantly decrease the nonrelativistic cross sections.

Photonic production of a pair of Bc mesons

“…The functions (16)-(17) describe a transition of heavy quark-antiquark pair from free state to the bound state, so, they can be called the transition form factors. It is important to emphasize that a relativistic consideration of the production and decay of heavy quarkonia is necessary to obtain the values of the observed quantities [8,9,33,34].…”

Photonic production of the pair of $B_c$ mesons

“…The functions ( 16)-( 17) describe a transition of heavy quark-antiquark pair from free state to the bound state, so, they can be called the transition form factors. It is important to emphasize that a relativistic consideration of the production and decay of heavy quarkoniums is necessary to obtain the values of the observed quantities [9,10,33,34].…”

bcdiquark pair production in high energy proton-proton collisions

“…The cross section of pair double heavy diquark production in proton-proton collisions can be presented in the following form corresponding to the collinear approximation for colliding protons [21,31]:…”

“…[19][20][21]. In all these studies, however, only the case of (anti)triplet color states of two final diquarks has been considered.…”