Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation

Abstract

On the basis of the perturbative QCD and the relativistic quark model we investigate the relativistic and bound state effects in the production processes of a pair of $S$-wave doubly heavy mesons with opposite charge conjugation consisting of $b$ and $c$ quarks. All possible relativistic corrections in the production amplitude including the terms connected with the transformation law of the bound state wave function to the reference frame of the moving pseudoscalar $\mathcal{P}-$ and vector $\mathcal{V}-$ mesons are taken into account. We obtain a growth of the cross section for the reaction $e^{+}+e^{-}\to J/\Psi +{\eta }_c$ due to considered effects by a factor $2÷2.5$ in the range of the center-of-mass energy $\sqrt{s}=6÷12$ GeV.

18 pages, 4 figures

References in corpus (2)

• Potential-model calculation of an order-v^2 NRQCD matrix element
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c

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• 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 $e^{+}{e}^{-}\to Z\to J/\psi J/\psi$
• Associated charmonium-bottomonium production in a single boson $e^{+}{e}^{-}$ annihilation
• Two loop QCD corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ in asymptotic expansion