Time Delay Plots of Unflavoured Baryons

Abstract

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.

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

References in corpus (6)

• $S=-1$ Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory and the $S_{01}-$ $\Lambda$(1405) and $-\Lambda$(1670) Resonances
• Time delayed K+ N reactions and exotic baryon resonances
• Collision times in pi-pi and pi-K scattering and spectroscopy of meson resonances
• The two pion decay of the Roper resonance
• The phi NN coupling from chiral loops
• Delay time and tunneling transient phenomena

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