The pole structure of low energy πN scattering amplitudes

This report presents an investigation of the pion-nucleon elastic scattering in low energy region using a production representation of the partial wave S matrix. The phase shifts are separated into contributions from poles and branch cuts, where the left-hand cut term can be evaluated by tree-level...

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Main Author: Wang Yu-Fei
Format: Article
Language:English
Published: EDP Sciences 2019-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2019/04/epjconf_meson2019_02004.pdf
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author Wang Yu-Fei
author_facet Wang Yu-Fei
author_sort Wang Yu-Fei
collection DOAJ
description This report presents an investigation of the pion-nucleon elastic scattering in low energy region using a production representation of the partial wave S matrix. The phase shifts are separated into contributions from poles and branch cuts, where the left-hand cut term can be evaluated by tree-level covariant baryon chiral perturbation theory. A comparison between the sum of known contributions and the data in S- and P- wave channels is made. It is found that the known components in S11 and P11 channels are far from enough to saturate the corresponding experimental data, indicating the existence of low-lying hidden poles. The positions of those hidden poles are figured out and the physics behind them are explored.
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spelling doaj.art-b1da769af54942ac9379f2ed18c7ce6e2022-12-21T17:12:45ZengEDP SciencesEPJ Web of Conferences2100-014X2019-01-011990200410.1051/epjconf/201919902004epjconf_meson2019_02004The pole structure of low energy πN scattering amplitudesWang Yu-Fei0Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking UniversityThis report presents an investigation of the pion-nucleon elastic scattering in low energy region using a production representation of the partial wave S matrix. The phase shifts are separated into contributions from poles and branch cuts, where the left-hand cut term can be evaluated by tree-level covariant baryon chiral perturbation theory. A comparison between the sum of known contributions and the data in S- and P- wave channels is made. It is found that the known components in S11 and P11 channels are far from enough to saturate the corresponding experimental data, indicating the existence of low-lying hidden poles. The positions of those hidden poles are figured out and the physics behind them are explored.https://www.epj-conferences.org/articles/epjconf/pdf/2019/04/epjconf_meson2019_02004.pdf
spellingShingle Wang Yu-Fei
The pole structure of low energy πN scattering amplitudes
EPJ Web of Conferences
title The pole structure of low energy πN scattering amplitudes
title_full The pole structure of low energy πN scattering amplitudes
title_fullStr The pole structure of low energy πN scattering amplitudes
title_full_unstemmed The pole structure of low energy πN scattering amplitudes
title_short The pole structure of low energy πN scattering amplitudes
title_sort pole structure of low energy πn scattering amplitudes
url https://www.epj-conferences.org/articles/epjconf/pdf/2019/04/epjconf_meson2019_02004.pdf
work_keys_str_mv AT wangyufei thepolestructureoflowenergypnscatteringamplitudes
AT wangyufei polestructureoflowenergypnscatteringamplitudes