A Truncated partial wave analysis of a complete experiment for photoproduction of two pseudoscalar mesons on a nucleon

TL;DR

This paper develops a method to identify a minimal and complete set of observables for unambiguously determining partial wave amplitudes in the photoproduction of two pseudoscalar mesons on a nucleon, focusing on the simplest case with total angular momentum $J_{max}=1/2$.

Contribution

It applies a previously developed criterion to select a minimal set of observables for complete partial wave analysis in meson photoproduction, addressing ambiguities and providing a fully complete set for the simplest case.

Findings

Identifies a minimal set of observables for complete analysis.

Discusses resolving ambiguities with additional observables.

Provides a fully complete set for the case $J_{max}=1/2$.

Abstract

A truncated partial wave analysis for the photoproduction of two pseudoscalar mesons on a nucleon is discussed with respect to the determination of a complete set of observables. For the selection of such a set we have applied a criterion previously developed for photo- and electrodisintegration of a deuteron, which allows one to find a 'minimal' set of observables for determining the partial wave amplitudes up to possible discrete ambiguities. The question of resolving the remaining ambiguities by invoking additional observables is discussed for the simplest case, when the partial wave expansion is truncated at the lowest total angular momentum of the final state $J_{max}=1/2$. The resulting 'fully' complete set, allowing an unambiguous determination of the partial wave amplitudes, is presented.