Moments of Angular Distribution in Two Mesons Photoproduction

TL;DR

This paper provides detailed formulas and relations for analyzing the angular distribution in two pseudoscalar mesons photoproduction with linearly polarized photons, aiding in partial wave analysis.

Contribution

It offers a comprehensive set of formulas and relations to analyze angular distributions and extract moments in two mesons photoproduction, focusing on $S$, $P$, and $D$ waves.

Findings

Formulas for angular distribution analysis provided

Relations between moments and partial waves detailed

Expressions for beam asymmetries in terms of moments included

Abstract

The formalism devoted to the production of two pseudoscalar mesons with a linearly polarized photon beam has been detailed and illustrated in Phys. Rev. D100 (2019) 054017. This document reports the necessary formulas, without proof, to perform an analysis of the angular distribution of two mesons photoproduction. The relations to extract moments of the angular distribution are provided, as well as the relations between moments and partial waves for a system involving $S$, $P$ and $D$ waves. The expressions of the integrated beam asymmetry and the beam asymmetry along the $y$ axis in term of moments are mentioned.