Double charmonium productions in electron-positron annihilation using Bethe-Salpeter approach

TL;DR

This paper calculates double charmonium production cross sections in electron-positron annihilation at 10.6 GeV using a comprehensive Bethe-Salpeter approach, achieving results consistent with experimental data and other models.

Contribution

It introduces a full Dirac structure Bethe-Salpeter framework for calculating double charmonium production cross sections, including all covariants, which aligns well with experimental results.

Findings

Calculated cross sections match experimental data

Results are consistent with other theoretical models

Inclusion of all Dirac covariants improves accuracy

Abstract

We calculate the double charmonium production cross section within the framework of $4\times 4$ Bethe-Salpeter Equation in the electron-positron annihilation, at center of mass energy $\sqrt{s}= 10.6$GeV, 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 sub-leading). The calculated cross-sections for the double charmonium productions for final states, ($J/\Psi, \eta_c$); ($\Psi',\eta_c$) ; ($J/\Psi, \eta_c'$); and ($\Psi',\eta_c'$) are close to experimental data, and in broad agreement with results of other theoretical models.