Multichannel Anomaly of the Resonance Pole Parameters Resolved

Abstract

Inspired by anomalies which the standard scattering matrix pole-extraction procedures have produced in a mathematically well defined coupled-channel model, we have developed a new method based solely on the assumption of partial-wave analyticity. The new method is simple and applicable not only to theoretical predictions but to the empirical partial-wave data as well. Since the standard pole-extraction procedures turn out to be the lowest-order term of the proposed method the anomalies are understood and resolved.

5 pages

References in corpus (2)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Scalar mesons and low-mass sigma: Does the $\sigma$ reveal the confinement singularity?

Cited by in corpus (11)

• Extraction of Resonances from Meson-Nucleon Reactions
• Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV
• Pole positions and residues from pion photoproduction using the Laurent+Pietarinen expansion method
• Poles of Karlsruhe-Helsinki KH80 and KA84 solutions extracted by using Laurent+Pietarinen method
• Pole structure from energy-dependent and single-energy fits to $\pi N$ elastic scattering data
• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Baryon transition form factors at the pole
• Generalization of the model-independent Laurent-Pietarinen single-channel pole-extraction formalism to multiple channels
• 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
• Mixing of fermion fields of opposite parities and baryon resonances
• Opposite parity fermion mixing and baryons $1/2^{\pm }$