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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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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paper:paper_0969806X_v76_n3_p504_Macri2023-06-08T15:59:08Z Jost function description of elastic and few-body resonances 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. 2007 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 |
| 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 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. |
| 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 |
| publishDate |
2007 |
| url |
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 |
| _version_ |
1768543431786758144 |