Jost function description of elastic and few-body resonances

We discuss how the analysis of the zeros of the functions introduced by Jost in 1946, acting individually or collectively, provides a comprehensive framework for describing resonances in single and multichannel collisions. In particular, we propose a generalization of the Wigner threshold law that c...

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Publicado: 2007
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0969806X_v76_n3_p504_Macri
http://hdl.handle.net/20.500.12110/paper_0969806X_v76_n3_p504_Macri
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Sumario:We discuss how the analysis of the zeros of the functions introduced by Jost in 1946, acting individually or collectively, provides a comprehensive framework for describing resonances in single and multichannel collisions. In particular, we propose a generalization of the Wigner threshold law that copes with some deviations recently observed in opening reaction channels. We also pay special attention to the appearance of zeros of the s-wave Jost function in the fourth quadrant of the complex momentum plane, as analysed by Nussenzveig in 1959 but erroneously ruled out in following studies. © 2006 Elsevier Ltd. All rights reserved.