Complete experiment problem for photoproduction of two pseudoscalar mesons on a nucleon in a truncated partial-wave analysis

TL;DR

This paper demonstrates that a truncated partial wave analysis for two-meson photoproduction simplifies the complete experiment problem by reducing amplitudes and resolving ambiguities, aiding experimental analysis.

Contribution

It introduces a formalism that halves the number of independent amplitudes and resolves double ambiguities in partial wave analysis of meson photoproduction.

Findings

Halves the number of independent partial amplitudes

Provides a method to resolve double discrete ambiguities

Simplifies the mathematical framework of the complete experiment problem

Abstract

It is shown that within a truncated partial wave analysis for photoproduction of two pseudoscalar mesons, it is possible to halve the number of independent partial amplitudes by taking into account parity conservation. In addition, within the framework of the proposed formalism, one can rather easily resolve the double discrete ambiguity arising from the symmetry under complex conjugation of the helicity amplitudes. This leads to essential simplifications of the complete experiment problem, at least as far as mathematical aspects are concerned.