Barrelet Zeros Extraction in Pion-Nucleon Scattering

A Monte-Carlo simulator has been designed to generate events of a proton-pion scattering employing a realistic model based on the unified Chew-Mandelstam SAID parametrization [PRC 86 1 (2012), 015202]. Using the generated data, a partial-wave analysis of the final state of the system is performed. The energy-dependent partial-wave amplitudes are derived analytically using the Barrelet Zeros of the moments. This study also discusses the existence of ambiguous solutions, phase uncertainty and the maximum angular momentum value considered in the data analysis.