The role of the background in the extraction of resonance contributions from meson-baryon scattering

TL;DR

This paper examines how effectively background and resonance contributions can be separated in meson-baryon scattering, using an analytic model to analyze different resonance types and their implications for hadronic and quark models.

Contribution

It provides a detailed analysis of background and resonance separation in meson-baryon scattering using an analytic meson exchange model, applicable to various resonance types.

Findings

Background can be distinguished from resonance contributions to varying degrees.

Separation effectiveness depends on resonance inelasticity and model assumptions.

Results inform the interpretation of resonance structures in hadronic physics.

Abstract

The separation of background and resonance contributions in pion-nucleon scattering is an often discussed issue. We investigate to what extent the background can be separated from the pole contribution. For illustration we use results from an analytic model for the meson-baryon interaction derived from meson exchange. We focus on the two distinct cases of an elastic and a highly inelastic resonance, namely the Delta(1232) and the Delta*(1700). Our results are also relevant for studies of dynamically generated resonances and attempts to extract bare quantities from hadronic models to be compared to quark model results.