Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-05-22
Phys.Rev.D74:054008,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, 4 figures
Scientific paper
10.1103/PhysRevD.74.054008
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 $e^++e^-\to J/\Psi+ \eta_c$ due to considered effects by a factor $2\div 2.5$ in the range of the center-of-mass energy $\sqrt{s}=6\div 12$ GeV.
Ebert Dietmar
Martynenko A. P.
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