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

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 pro...

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Bibliographic Details
Published in:arXiv.org 2015-12
Main Authors: Svarc, Alfred, Mirza Hadzimehmedovic, Osmanovic, Hedim, Stahov, Jugoslav, Tiator, Lothar, Workman, Ron L
Format: Article
Language:English
Subjects:
Amplitudes
Channels
Conformal mapping
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1512.07403