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Remarks on the Complex Branch Points in πN Scattering Amplitude and the Multiple Poles Structure of Resonances
並列摘要
A simple heuristic argument to understand the existence of branch points in the unphysical sheet for πN scattering amplitude is presented. It is based on a hypothesis that the singularity structure of the πN scattering amplitude is a smooth varying function of the pion mass. We find that, in general, multiple poles structure of a resonance is a direct mathematical consequence when additional Riemann surface is included in the study and the two-pole structure found to correspond to the Roper resonance is a good example.
並列關鍵字
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