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

Abstract

Each and every energy dependent partial-wave analysis is parameterizing the pole positions in a procedure defined by the way how the continuous energy dependence is implemented. These pole positions are, henceforth, inherently model dependent. To reduce this model dependence, we use only one, coupled-channel, unitary, fully analytic method based on the isobar approximation to extract the pole positions from the each available member of the worldwide collection of partial wave amplitudes which are understood as nothing more but a good energy dependent representation of genuine experimental numbers assembled in a form of partial-wave data. In that way, the model dependence related to the different assumptions on the analytic form of the partial-wave amplitudes is avoided, and the true confidence limit for the existence of a particular resonant state, at least in one model, is established. The way how the method works, and first results are demonstrated for the S11 partial wave.

22 pages, 8 figures, 2 tables

References in corpus (11)

• Extended Partial-Wave Analysis of piN Scattering Data
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Dynamical Coupled-Channel Model of $\pi N$ Scattering in the W $\le$ 2 GeV Nucleon Resonance Region
• The reaction pi+ p --> K+ Sigma+ in a unitary coupled-channels model
• Extraction of Resonances from Meson-Nucleon Reactions
• Relevance of complex branch points for partial wave analysis
• Coupled-channels study of the ${\pi }^{-}p\to \eta n$ process
• Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV
• Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV
• The piN --> etaN data demand the existence of N(1710) P11 resonance reducing the 1700 MeV continuum ambiguity
• Stability of the Zagreb Carnegie-Mellon-Berkeley model

Cited by in corpus (6)

• Properties of baryon resonances from a multichannel partial wave analysis
• Light Baryon Spectroscopy
• Numerical calculation of the decay widths, the decay constants, and the decay energy spectra of the resonances of the delta-shell potential
• Evidence for a negative-parity spin-doublet of nucleon resonances at 1.88\,GeV
• A method for extracting the resonance parameters from experimental cross section
• Stability of the Zagreb Carnegie-Mellon-Berkeley model