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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Bibliographic Details
Published in:Radiation physics and chemistry (Oxford, England : 1993) Vol. 76; no. 3; pp. 504 - 507
Main Authors: Macri, P.A., Sánchez Plastic, F., Barrachina, R.O.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-03-2007
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Summary: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.
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ISSN:0969-806X
1879-0895
DOI:10.1016/j.radphyschem.2005.11.036