Abstract
We calculate the double charmonium production cross-section within the framework of 4×4 Bethe-Salpeter Equation in the electron-positron annihilation, at center of mass energy s=10.6GeV, that proceeds through the exchange of a single virtual photon. In this calculation, we make use of the full Dirac structure of 4D BS wave functions of these charmonia, with the incorporation of all the Dirac covariants (both leading and subleading). The calculated cross-sections for the double charmonium productions for final states, (J/Ψ,ηc), (Ψ′,ηc), (J/Ψ,ηc′), and (Ψ′,ηc′), are close to experimental data and in broad agreement with results of other theoretical models.
Highlights
One of the challenging problems in heavy-quark physics is the process of double charmonium production in electronpositron annihilation at B-factories [1,2,3,4]
As regards the dynamical framework, to investigate the double charmonium production concerned, many approaches have been proposed to deal with the crosssection of double charmonium production [5,6,7,8,9] and the pseudoscalar and vector charmonium production process has been recently studied in a Bethe-Salpeter formalism [10, 11]
Our main aim in this paper was to study the cross-section for double charmonium production in electron-positron collisions at center of mass energies, √s = 10.6GeV., having successfully studied the mass spectrum and a range of low energy processes using an analytic treatment of 4 × 4 BetheSalpeter Equation (BSE) [18,19,20,21,22]
Summary
One of the challenging problems in heavy-quark physics is the process of double charmonium production in electronpositron annihilation at B-factories [1,2,3,4]. As regards the dynamical framework, to investigate the double charmonium production concerned, many approaches have been proposed to deal with the crosssection of double charmonium production [5,6,7,8,9] and the pseudoscalar and vector charmonium production process has been recently studied in a Bethe-Salpeter formalism [10, 11]. In these studies the complete Dirac structure of P (pseudoscalar) and V (vector) quarkonia was not taken into account, and calculations were performed by taking only the leading Dirac structures, γ5, and iγ.ε in the BS wave functions of pseudoscalar and vector charmonia respectively
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