Phase-Shift Definition for Pion-Nucleon Scattering from Chiral Perturbation Theory
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2004
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| _version_ | 1876456050239995904 |
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| author | Isabela P. Cavalcante |
| author_facet | Isabela P. Cavalcante |
| contents | Phase-Shift Definition for Pion-Nucleon Scattering from Chiral Perturbation Theory Isabela P. Cavalcante J. Sá Borges Física, Astronomía y Matemáticas Chiral Perturbation Theory is considered as a very precise method when applied to pion-nucleon scattering nearthreshold and in the unphysical region since in these cases the pion momenta are small. In this framework, thirdorder calculation yields a non-relativistic scattering amplitude with nine free parameters. From the fact that theresulting partial-wave amplitudes do not respect elastic unitarity relation, one has that the phase-shift definitionis ambiguous. In this article, we present the comparison of the model with experimental data for two differentphase-shift formulas and we conclude that the results are very sensitive to phase-shift definition. 2004 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46400122 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1A Vol.34 |
| format | Artículo científico |
| id | redalyc_46400122 |
| institution | Redalyc |
| language | en |
| publishDate | 2004 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Phase-Shift Definition for Pion-Nucleon Scattering from Chiral Perturbation Theory Isabela P. Cavalcante Física, Astronomía y Matemáticas Phase-Shift Definition for Pion-Nucleon Scattering from Chiral Perturbation Theory Isabela P. Cavalcante J. Sá Borges Física, Astronomía y Matemáticas Chiral Perturbation Theory is considered as a very precise method when applied to pion-nucleon scattering nearthreshold and in the unphysical region since in these cases the pion momenta are small. In this framework, thirdorder calculation yields a non-relativistic scattering amplitude with nine free parameters. From the fact that theresulting partial-wave amplitudes do not respect elastic unitarity relation, one has that the phase-shift definitionis ambiguous. In this article, we present the comparison of the model with experimental data for two differentphase-shift formulas and we conclude that the results are very sensitive to phase-shift definition. 2004 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46400122 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1A Vol.34 |
| title | Phase-Shift Definition for Pion-Nucleon Scattering from Chiral Perturbation Theory |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46400122 |