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

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• 作者：Alfred &Scaron ; varc^a ; ^{alfred.svarc@irb.hr" class="auth_mail" title="E-mail the corresponding author} ; Mirza Hadžimehmedović^b ; Hedim Osmanović^b ; Jugoslav Stahov^b ; Lothar Tiator^c ; Ron L. Workman^d
• 关键词：Partial wave analysis ; Pole parameters ; Model independent extraction
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 April 2016
• 年：2016
• 卷：755
• 期：Complete
• 页码：452-455
• 全文大小：298 K

文摘

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 discrete energies. This method has been generalized and applied to the case of a multi-channel fit, where several sets of amplitudes are analyzed 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.