Discrete ambiguities in a partial-wave analysis of pseudoscalar photoproduction with truncation in total angular momentum

TL;DR

This paper investigates the discrete ambiguities in partial-wave analysis of pseudoscalar photoproduction, revealing an additional ambiguity caused by angular momentum truncation beyond previously known double ambiguities.

Contribution

It identifies a new ambiguity in truncated partial-wave analysis, extending understanding of ambiguities in pseudoscalar meson photoproduction.

Findings

Double ambiguity confirmed in complete experiment analysis

Additional ambiguity arises from angular momentum truncation

Implications for resolving ambiguities in experimental data

Abstract

The discrete ambiguities appearing in the complete experiment problem for single pseudoscalar meson photoproduction within truncated partial-wave analysis are discussed. It is shown that, in addition to the double ambiguity known from previous works, it is always necessary to take into account another ambiguity arising when truncation in total angular momentum is employed.