Cross section for double charmonium production in electron-positron annihilation at energy $\sqrt{s}$= 10.6 GeV

TL;DR

This paper calculates the cross section for double charmonium production in electron-positron annihilation at 10.6 GeV using the Bethe-Salpeter formalism, and finds results consistent with experimental measurements from Babar and Belle.

Contribution

It introduces a calculation of the cross section for $e^{+}e^{-} o J/\Psi + \eta_c$ using the Bethe-Salpeter approach with heavy quark approximation, aligning theory with experimental data.

Findings

Calculated cross section matches Babar and Belle data.

Used Bethe-Salpeter formalism with Covariant Instantaneous Approximation.

Employs heavy quark approximation for simplification.

Abstract

In this work we study the process $e^{+}+e^{-}\longrightarrow J/\Psi+\eta_{c} $ at energy $\sqrt{s}= 10.6 GeV$ observed recently at B-factories whose measurements were made by Babar and Belle groups. We calculate the cross section for this process in the Bethe-salpeter formalism under Covariant Instantaneous Anstaz (CIA). To simplify our calculation, the heavy quark approximation $(q<<M, P M)$ is employed in the quark and gluon propagators. In the exclusive process of $e^{+}e^{-}$ annihilation into two heavy quarkonia, the cross section calculated in this scenario is compatible with the experimental data of Babar and Belle.