https://doi.org/10.1140/epjc/s10052-015-3358-0
Regular Article - Theoretical Physics
Pair double heavy diquark production in high energy proton–proton collisions
1
Samara State University, Pavlov Street 1, 443011, Samara, Russia
2
Samara State Aerospace University named after S.P. Korolyov, Moskovskoye Shosse 34, 443086, Samara, Russia
3
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Joliot-Curie Street 6, 141980, Dubna, Russia
* e-mail: a.p.martynenko@samsu.ru
Received:
21
October
2014
Accepted:
13
March
2015
Published online:
26
March
2015
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 
-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.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
