Ratios of Partial Wave Amplitudes in the Decays of $J=1$ and $J=2$ Mesons

TL;DR

This paper analyzes meson decay amplitudes using covariant helicity formalism, emphasizing the importance of derivative interactions in explaining partial wave amplitude ratios and providing estimates for various meson decay coupling constants.

Contribution

It introduces the necessity of derivative interactions in the Lagrangian to accurately explain decay amplitude ratios and estimates coupling constants for multiple meson decay channels.

Findings

Derivative interactions are essential for explaining PWA ratios.

Estimated coupling constants for various meson decays.

Predicted PWA ratios for new decay channels.

Abstract

We study the two-body decay of mesons using the covariant helicity formalism. We find that to explain the ratio of partials wave amplitudes (PWAs) of the decay, the Lagrangian must include derivative interactions in addition to contact interactions. We estimate the ratios of the coupling constants for the vector decays of the axial-vector, pseudovector and pseudotensor meson, and the tensor decays of the pseudotensor mesons by fitting the ratios of the PWAs to the available data and predict the ratios to some new decays.