Time Delay Plots of Unflavoured Baryons

Details Time Delay Plots of Unflavoured Baryons Time Delay Plots of Unflavoured Baryons

2002-08-22

arxiv.org/abs/hep-ph/0208197v2

Nucl.Phys. A730 (2004) 121-140

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 5 figures and 3 tables, title changed, references added, manuscript revised

Scientific paper

We explore the usefulness of the existing relations between the $S$-matrix and time delay in characterizing baryon resonances in pion-nucleon scattering. We draw attention to the fact that the existence of a positive maximum in time delay is a necessary criterion for the existence of a resonance and should be used as a constraint in conventional analyses which locate resonances from poles of the $S$-matrix and Argand diagrams. The usefulness of the time delay plots of resonances is demonstrated through a detailed analysis of the time delay in several partial waves of $\pi N$ elastic scattering.

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