Ambiguities in Partial Wave Analysis of Two Spinless Meson Photoproduction

TL;DR

This paper demonstrates that partial-wave analysis of two spinless mesons with linearly polarized photons is mathematically unambiguous when all observables are considered, confirmed through Monte Carlo simulations.

Contribution

It provides a formalism showing the uniqueness of partial-wave analysis with linearly polarized photons, resolving previous ambiguities in the method.

Findings

Partial waves are uniquely defined with all observables considered.

Including higher partial waves does not introduce ambiguities.

Monte Carlo simulations support the theoretical conclusions.

Abstract

We describe the formalism to analyze the mathematical ambiguities arising in partial-wave analysis of two spinless mesons produced with a linearly polarized photon beam. We show that partial waves are uniquely defined when all accessible observables are considered, for a wave set which includes $S$ and $D$ waves. The inclusion of higher partial waves does not affect our results, and we conclude that there are no mathematical ambiguities in partial-wave analysis of two mesons produced with a linearly polarized photon beam. We present Monte Carlo simulations to illustrate our results.