Jost function description of elastic and few-body resonances

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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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Autores principales: Macri, P.A., Sánchez Plastic, F., Barrachina, R.O.
Formato: JOUR
Materias:
Jost functions
Resonances
Wigner threshold law
Elasticity
Numerical methods
Wave propagation
Jost function description
Multichannel collisions
Resonance
article
chemical reaction
elasticity
error
mathematical computing
surface plasmon resonance
waveform
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0969806X_v76_n3_p504_Macri
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0969806X_v76_n3_p504_Macri
record_format dspace
spelling todo:paper_0969806X_v76_n3_p504_Macri2023-10-03T15:55:32Z Jost function description of elastic and few-body resonances Macri, P.A. Sánchez Plastic, F. Barrachina, R.O. Jost functions Resonances Wigner threshold law Elasticity Numerical methods Wave propagation Jost function description Multichannel collisions Wigner threshold law Resonance article chemical reaction elasticity error mathematical computing surface plasmon resonance waveform 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0969806X_v76_n3_p504_Macri
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Jost functions
Resonances
Wigner threshold law
Elasticity
Numerical methods
Wave propagation
Jost function description
Multichannel collisions
Wigner threshold law
Resonance
article
chemical reaction
elasticity
error
mathematical computing
surface plasmon resonance
waveform
spellingShingle Jost functions
Resonances
Wigner threshold law
Elasticity
Numerical methods
Wave propagation
Jost function description
Multichannel collisions
Wigner threshold law
Resonance
article
chemical reaction
elasticity
error
mathematical computing
surface plasmon resonance
waveform
Macri, P.A.
Sánchez Plastic, F.
Barrachina, R.O.
Jost function description of elastic and few-body resonances
topic_facet Jost functions
Resonances
Wigner threshold law
Elasticity
Numerical methods
Wave propagation
Jost function description
Multichannel collisions
Wigner threshold law
Resonance
article
chemical reaction
elasticity
error
mathematical computing
surface plasmon resonance
waveform
description 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.
format JOUR
author Macri, P.A.
Sánchez Plastic, F.
Barrachina, R.O.
author_facet Macri, P.A.
Sánchez Plastic, F.
Barrachina, R.O.
author_sort Macri, P.A.
title Jost function description of elastic and few-body resonances
title_short Jost function description of elastic and few-body resonances
title_full Jost function description of elastic and few-body resonances
title_fullStr Jost function description of elastic and few-body resonances
title_full_unstemmed Jost function description of elastic and few-body resonances
title_sort jost function description of elastic and few-body resonances
url http://hdl.handle.net/20.500.12110/paper_0969806X_v76_n3_p504_Macri
work_keys_str_mv AT macripa jostfunctiondescriptionofelasticandfewbodyresonances
AT sanchezplasticf jostfunctiondescriptionofelasticandfewbodyresonances
AT barrachinaro jostfunctiondescriptionofelasticandfewbodyresonances
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