2011/06/14 by A. P. Martynenko, Martynenko, A. P., A. M. Trunin +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.1106.2741
15 pages, 1 figure
openalex publication_date 2011/06/14 · arxiv created 2011/08/10 · arxiv updated 2011/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
On the basis of perturbative QCD and the relativistic quark model we calculate relativistic and bound state corrections in the production processes of a pair of P-wave charmonium states. 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 P-wave mesons are taken into account. For the gluon and quark propagators entering the production vertex function we use a truncated expansion in the ratio of the relative quark momenta to the center-of-mass energy sqrts up to the second order. Relativistic corrections to the 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 change essentially the nonrelativistic results of the cross section for the reaction e++e-→ hc+χcJ at the center-of-mass energy sqrts=10.6 GeV.