Relativistic corrections to \eta_c-pair production in high energy proton-proton collisions

TL;DR

This paper calculates relativistic corrections to ta_c pair production in high-energy proton-proton collisions, showing these effects significantly reduce the predicted cross sections at LHC energies.

Contribution

It introduces a comprehensive calculation of relativistic effects in ta_c pair production using perturbative QCD and the relativistic quark model, including wave function transformations and propagator expansions.

Findings

Relativistic corrections decrease the total cross section by more than two times.

Corrections lead to approximately 20% reduction in the LHCb rapidity region.

The study provides refined theoretical predictions for ta_c pair production at LHC.

Abstract

On the basis of perturbative QCD and the relativistic quark model we calculate relativistic corrections to the double $\eta_c$ meson production in proton-proton interactions at LHC energies. Relativistic terms in the production amplitude connected with the relative motion of heavy quarks and the transformation law of the bound state wave functions to the reference frame of moving charmonia are taken into account. For the gluon and quark propagators entering the amplitude we use a truncated expansion in relative quark momenta up to the second order. Relativistic corrections to the quark bound state wave functions are considered by means of the Breit-like potential. It turns out that the examined effects decrease total nonrelativistic cross section more than two times and on 20 percents in the rapidity region of LHCb detector.