Check of phenomenological amplitudes for the ππ scattering using the dispersion relations

Check of phenomenological amplitudes for the ππ scattering using the dispersion relations

The multichannel S- and P-wave amplitudes for the ππ scattering, constructed requiring analyticity and unitarity of the S-matrix and using the uniformization procedure, are elaborated using the dispersion relations which, in addition, impose the crossing symmetry condition. The amplitudes are modifi...

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Main Authors: Kamiński Robert, Bydžovský Petr
Format: Article
Language:English
Published: EDP Sciences 2012-12-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/20123709010
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spelling doaj-5f6b8e7f34534cc6a62987d7aa5e68562021-08-02T14:42:30ZengEDP SciencesEPJ Web of Conferences2100-014X2012-12-01370901010.1051/epjconf/20123709010Check of phenomenological amplitudes for the ππ scattering using the dispersion relationsKamiński RobertBydžovský PetrThe multichannel S- and P-wave amplitudes for the ππ scattering, constructed requiring analyticity and unitarity of the S-matrix and using the uniformization procedure, are elaborated using the dispersion relations which, in addition, impose the crossing symmetry condition. The amplitudes are modified in the low-energy region to improve their consistency with experimental data and the dispersion relations. Agreement with data is achieved for both amplitudes from the threshold up to 1.8 GeV and with dispersion relations up to 1.1 GeV. Consequences of the applied modifications, e.g. changes of the S-wave lowest-pole positions, are presented. http://dx.doi.org/10.1051/epjconf/20123709010
collection DOAJ
language English
format Article
sources DOAJ
author Kamiński Robert
Bydžovský Petr
spellingShingle Kamiński Robert
Bydžovský Petr
Check of phenomenological amplitudes for the ππ scattering using the dispersion relations
EPJ Web of Conferences
author_facet Kamiński Robert
Bydžovský Petr
author_sort Kamiński Robert
title Check of phenomenological amplitudes for the ππ scattering using the dispersion relations
title_short Check of phenomenological amplitudes for the ππ scattering using the dispersion relations
title_full Check of phenomenological amplitudes for the ππ scattering using the dispersion relations
title_fullStr Check of phenomenological amplitudes for the ππ scattering using the dispersion relations
title_full_unstemmed Check of phenomenological amplitudes for the ππ scattering using the dispersion relations
title_sort check of phenomenological amplitudes for the ππ scattering using the dispersion relations
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2012-12-01
description The multichannel S- and P-wave amplitudes for the ππ scattering, constructed requiring analyticity and unitarity of the S-matrix and using the uniformization procedure, are elaborated using the dispersion relations which, in addition, impose the crossing symmetry condition. The amplitudes are modified in the low-energy region to improve their consistency with experimental data and the dispersion relations. Agreement with data is achieved for both amplitudes from the threshold up to 1.8 GeV and with dispersion relations up to 1.1 GeV. Consequences of the applied modifications, e.g. changes of the S-wave lowest-pole positions, are presented.
url http://dx.doi.org/10.1051/epjconf/20123709010
work_keys_str_mv AT kaminskirobert checkofphenomenologicalamplitudesfortheppscatteringusingthedispersionrelations
AT bydzovskypetr checkofphenomenologicalamplitudesfortheppscatteringusingthedispersionrelations
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