Scattering Amplitude of {\pi}N on the Second Sheet

TL;DR

This paper develops a parameterization method for the {}N scattering amplitude to extract pole parameters by leveraging analyticity and dispersion relations, enhancing analysis of elastic scattering data.

Contribution

It introduces a new parameterization procedure based on analyticity and dispersion relations for extracting pole parameters in {}N scattering.

Findings

Provides a method to extract pole parameters from elastic scattering data.

Utilizes analyticity properties and dispersion relations for amplitude analysis.

Enhances understanding of scattering amplitude structure.

Abstract

We propose parameterization procedures of the scattering amplitude f_{1+}^{3}(s)) with a view to extracting the pole parameters from data in the elastic region of {\pi}N scattering. This is achieved by considering the analyticity properties of partial wave amplitudes directly and writing dispersion relations for the amplitude explicitly.