Amplitude reconstruction from complete experiments and truncated partial-wave expansions

TL;DR

This paper compares amplitude reconstruction methods from complete experiments and truncated partial-wave analyses in pseudoscalar meson photoproduction, illustrating their relationships and pedagogical differences.

Contribution

It provides a detailed comparison and pedagogical explanation of amplitude reconstruction techniques from experimental observables in meson photoproduction.

Findings

Amplitude reconstruction relates to truncated partial-wave analysis.

Methods are demonstrated at a single energy and angle.

The paper clarifies the connection between different analysis approaches.

Abstract

We compare the methods of amplitude reconstruction, for a complete experiment and a truncated partial wave analysis, applied to the photoproduction of pseudo-scalar mesons. The approach is pedagogical, showing in detail how the amplitude reconstruction (observables measured at a single energy and angle) is related to a truncated partial-wave analysis (observables measured at a single energy and a number of angles).