Relativistic description of the double charmonium production in $e^{+}{e}^{-}$ annihilation

Abstract

New evaluation of the relativistic effects in the double production of $S$-wave charmonium states is performed on the basis of perturbative QCD and the relativistic quark model. The main improvement consists in the exact account of properties of the relativistic meson wave functions. 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 $\sqrt{s}$ up to the second order. The exact relativistic treatment of the wave functions makes all such second order terms convergent, thus allowing the reliable calculation of their contributions to the production cross section. Compared to the nonrelativistic calculation we obtain a significant increase of the cross sections for the $S$-wave double charmonium production. This brings new theoretical results in good agreement with the available experimental data.

9 pages, 2 figures

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Cited by in corpus (17)

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• $O({\alpha }_s{v}^2)$ correction to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ at $B$ factories
• Relativistic corrections to double charmonium production in high energy proton-proton interaction
• Double charmonium production at B-factories within light cone formalism
• Relativistic effects in the double S- and P-wave charmonium production in e^+e^- annihilation
• Double charmonium production in exclusive bottomonia decays
• Pair double heavy diquark production in high energy proton-proton collisions
• Decay eta_b->J/ψJ/ψin light cone formalism
• Relativistic corrections to the pair double heavy diquark production in e^+e^- annihilation
• Relativistic corrections to the pair $B_c$-meson production in $e^{+}{e}^{-}$ annihilation
• Average speed and its powers $v^n$ of a heavy quark in quarkonia
• Exclusive double $B_c$ meson production from $e^{+}{e}^{-}$ annihilation into two virtual photons
• Photonic production of the pair of $B_c$ mesons
• One-loop corrections to the processes $e^{+}{e}^{-}\to \gamma ,Z\to J/\psi {\eta }_c$ and $e^{+}{e}^{-}\to Z\to J/\psi J/\psi$
• Relativistic corrections to η_c-pair production in high energy proton-proton collisions
• Pair $(bc)$ diquarks production in high energy proton--proton collisions
• Associated charmonium-bottomonium production in a single boson $e^{+}{e}^{-}$ annihilation