Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV

Abstract

Within the previously developed Dubna-Mainz-Taipei meson-exchange model, the singularity structure of the pi N scattering amplitudes has been investigated. For all partial waves up to F waves and c.m. energies up to W = 2 GeV, the T-matrix poles have been calculated by three different techniques: analytic continuation into the complex energy plane, speed-plot and the regularization method. For all 4-star resonances, we find a perfect agreement between the analytic continuation and the regularization method. We also find resonance poles for resonances that are not so well established, but in these cases the pole positions and residues obtained by analytic continuation can substantially differ from the results predicted by the speed-plot and regularization methods.

21 pages, 4 figures, 4 tables

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Cited by in corpus (25)

• Properties of baryon resonances from a multichannel partial wave analysis
• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• Electromagnetic Excitation of Nucleon Resonances
• Eta-meson production in the resonance energy region
• Photocouplings at the Pole from Pion Photoproduction
• The reaction pi+ p --> K+ Sigma+ in a unitary coupled-channels model
• Dynamical coupled-channel approaches on a momentum lattice
• Isospin decomposition of $\gamma N\to N^{\ast }$ transitions within a dynamical coupled-channels model
• Relevance of complex branch points for partial wave analysis
• P-wave excited baryons from pion- and photo-induced hyperon production
• Model Selection for Pion Photoproduction
• $\bar{K}+N\to K+\Xi$ reaction and $S=-1$ hyperon resonances
• Electromagnetic Transition Form Factors of Baryon Resonances
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• Correlations of $\mathbf{\pi N}$ Partial Waves for Multi-Reaction Analyses
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• Poles, the only true resonant-state signals, are extracted from a worldwide collection of partial wave amplitudes using only one, well controlled pole-extraction method
• Light-quark baryon spectroscopy from ANL-Osaka dynamical coupled-channels analysis
• The Dubna-Mainz-Taipei Dynamical Model for $\pi N$ Scattering and $\pi$ Electromagnetic Production