Symmetry analysis of charmonium decays to two-baryon final state

TL;DR

This paper uses SU(3) flavor symmetry to systematically analyze charmonium decays into baryon pairs, accounting for symmetry breaking effects and experimental conditions to study amplitude phases.

Contribution

It introduces a tensor form of the effective interaction Hamiltonian incorporating symmetry breaking, enabling systematic parametrization of baryon pair final states.

Findings

Relative phase between strong and electromagnetic amplitudes analyzed.

Experimental effects like energy spread and radiative corrections included.

Framework applicable to charmonium decay data analysis.

Abstract

By virtue of SU(3) flavor symmetry, the effective interaction Hamiltonian is derived in tensor form. The strong and electromagnetic breaking effects are taken into account in a form of "spurion" octet, so that the systematical parametrization of all baryon pair final states is realized on basis of the flavor-singlet principle. As an application, the relative phase between the strong and electromagnetic amplitudes is studied in the light of this scenario. In analyzing the data taken at J/$\psi$ resonance region in $e^+e^-$ collider, the details of experimental effects, such as energy spread and initial state radiative correction are taken into consideration in order to obtain the correct results.