Tensor amplitudes for partial wave analysis of $\psi \to\Delta\bar{\Delta}$ within helicity frame

TL;DR

This paper derives tensor amplitudes for partial wave analysis of $ o  ar{}$ decays within the helicity frame, aiding experimental analysis of $$ decays into $p ar{p} ^+ ^-$ final states.

Contribution

It provides explicit tensor amplitude formulae for $ o  ar{}$ decays, facilitating experimental partial wave analysis in high-energy physics.

Findings

Formulated tensor amplitudes for $ o  ar{}$ decays.

Applicable to BESIII experiments with large $J/A$ and $C(2S)$ data samples.

Enhances analysis of $$ decay channels into $p ar{p} ^+ ^-$.

Abstract

We have derived the tensor amplitudes for partial wave analysis of $\psi\to\Delta\bar{\Delta}$, $\Delta \to p \pi$ within the helicity frame, as well as the amplitudes for the other decay sequences with same final states. These formulae are practical for the experiments measuring $\psi$ decaying into $p \bar{p}\pi^+ \pi^-$ final states, such as BESIII with its recently collected huge $J/\psi$ and $\psi(2S)$ data samples.