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

D. Ebert·A. P. Martynenko
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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 ${\cal P}-$ and vector ${\cal V}-$ mesons are taken into account. We obtain a growth of the cross section for the reaction $e^++e^-\to J/Ψ+ η_c$ due to considered effects by a factor $2÷2.5$ in the range of the center-of-mass energy $\sqrt{s}=6÷12$ GeV.

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D. Ebert, A. P. Martynenko. 2006-05-29. Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation. https://doi.org/10.1103/physrevd.74.054008

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