Generalization of the model-independent Laurent-Pietarinen single-channel pole-extraction formalism to multiple channels

Abstract

A method to extract resonance pole information from single-channel partial-wave amplitudes based on a Laurent (Mittag-Leffler) expansion and conformal mapping techniques has recently been developed. This method has been applied to a number of reactions and provides a model-independent extraction procedure which is particularly useful in cases where a set of amplitudes is available only at descrete energies. This method has been generalized and applied to the case of a multi-channel fit, where several sets of amplitudes are analysed simultaneously. The importance of unitarity constraints is discussed. The final result provides a powerful, model-independent tool for analyzing partial-wave amplitudes of coupled or connected channels based entirely on the concepts of analyticity and unitarity.

References in corpus (6)

• Big-Bang Nucleosynthesis
• P-wave excited baryons from pion- and photo-induced hyperon production
• Precise determination of resonance pole parameters through Padé approximants
• Pole positions and residues from pion photoproduction using the Laurent+Pietarinen expansion method
• Analysis of averaged multichannel delay times
• Pole structure from energy-dependent and single-energy fits to $\pi N$ elastic scattering data

Cited by in corpus (12)

• Light Baryon Spectroscopy
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• Strong evidence for nucleon resonances near 1900\,MeV
• Baryon transition form factors at the pole
• $N^{\ast }$ resonances from $K\Lambda$ amplitudes in sliced bins in energy
• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Different manifestations of S-matrix poles
• Time in dissipative tunneling: subtleties and applications
• Application of the single-channel, single-energy AA/PWA method to $K^{+}\Lambda$ photoproduction
• Laurent+Pietarinen Partial Wave Analysis
• From Experimental Data to Pole Parameters in a Direct Way (Angle Dependent Continuum Ambiguity and Laurent + Pietarinen Expansion)
• Is the pole content of each single-energy, single-channel partial wave analysis inherently model dependent?