Cross section and parametrization of charmonium decay

TL;DR

This paper provides a detailed parametrization of charmonium decay processes, analyzing symmetry, magnetic transitions, and calculating electromagnetic cross sections for various final states to deepen understanding of decay dynamics.

Contribution

It introduces a comprehensive approach combining symmetry analysis and current algebra to model charmonium decay mechanisms and cross sections.

Findings

Parametrization of decay forms considering meson mixing and SU(3) symmetry breaking.

Calculated electromagnetic cross sections for eight final states.

Clarified calculation techniques for different final state configurations.

Abstract

The parametrization forms of charmonium quasi two body decays are discussed in detail in this paper. The symmetry analysis and magnetic transition description are utilized to provide the multi-aspect comprehension of the decay dynamics, including the meson mixing angle, form factor, and $SU(3)$ symmetry breading effect. As the prerequisite, the electromagnetic cross sections involving scalar and pseudoscalar, are calculated for eight final states based on the approach of current algebra. Moreover, the mathematical manipulations of calculation for four kinds of final states are spelled out to illuminate the technique strategy.