Algorithms for partial wave amplitudes under covariant $L$-$S$ scheme

TL;DR

This paper introduces a general algorithm for computing partial wave amplitudes within the covariant L-S scheme, facilitating automated analysis crucial for understanding hadron spectra from collision data.

Contribution

It provides the first comprehensive algorithm for automated partial wave amplitude calculations under the covariant L-S scheme, expanding analysis tools in hadron physics.

Findings

Developed a general algorithm for covariant L-S scheme amplitudes

Lays foundation for automated partial wave analysis

Enhances analysis of hadron collision data

Abstract

With the continuous accumulation of data from hadron collision experiments, efficient Partial Wave Analysis tools are indispensable for constructing a clear hadron spectrum. Currently, automated computations of scattering amplitudes primarily use the helicity scheme and covariant effective Lagrangian method. The automated calculations under the covariant $L$-$S$ scheme, which is one of the commonly used partial wave analysis schemes, have not been fully realized. In this work, we provide a general algorithm for computing partial wave amplitudes under the covariant $L$-$S$ scheme. This will lay the foundation for automated computation of partial wave amplitudes under the covariant $L$-$S$ scheme.