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

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

2010-07-13

arxiv.org/abs/1007.2126v1

Phys.Rev.C82:055203,2010

Physics

Nuclear Physics

Nuclear Theory

21 pages, 4 figures, 4 tables

Scientific paper

10.1103/PhysRevC.82.055203

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.

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