A non-perturbative chiral approach for meson-meson interactions

A non-perturbative method [1] which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe meson-meson interactions up to √s<_~1.2 GeV, extending in this way the range of applicability of the information contained in Chiral Perturbation Theory (X PT)...

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Authors: Oller, J. A., Oset, E., Guerrero, F., Peláez Sagredo, José Ramón
Format: article
Publication Date:2000
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/59876
Online Access:https://hdl.handle.net/20.500.14352/59876
Access Level:Open access
Keyword:51-73
Scattering
Física-Modelos matemáticos
Física matemática
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oai_identifier_str oai:docta.ucm.es:20.500.14352/59876
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spelling A non-perturbative chiral approach for meson-meson interactionsOller, J. A.Oset, E.Guerrero, F.Peláez Sagredo, José Ramón51-73ScatteringFísica-Modelos matemáticosFísica matemáticaA non-perturbative method [1] which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe meson-meson interactions up to √s<_~1.2 GeV, extending in this way the range of applicability of the information contained in Chiral Perturbation Theory (X PT) [2], since this perturbative series is typically restricted to √s<_500 MeV. The approach uses the O(p²) and O(p^4) Lagrangians. The seven free parameters resulting from the O(p^4) Lagrangian are fitted to the experimental data. The approach makes use of the expansion of T^(-1) instead of the amplitude itself as done in X PT. The former expansion is suggested by analogy with the effective range approximation in Quantum Mechanics and it appears to be very useful. The results, in fact, are in good agreement with a vast amount of experimental analyses [3,4]. The amplitudes develop poles corresponding to the fₒ(980), aₒ(980), ρ(770), K*(890), the octet contribution to the φ , fₒ(400 −1200) ≡ σ and κ [4]. The total and partial decay widths of the resonances are also well reproduced.Elsevier Science BvUniversidad Complutense de Madrid20002000-01-3120002000-01-31journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/59876reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/598762026-06-02T12:44:21Z
dc.title.none.fl_str_mv A non-perturbative chiral approach for meson-meson interactions
title A non-perturbative chiral approach for meson-meson interactions
spellingShingle A non-perturbative chiral approach for meson-meson interactions
Oller, J. A.
51-73
Scattering
Física-Modelos matemáticos
Física matemática
title_short A non-perturbative chiral approach for meson-meson interactions
title_full A non-perturbative chiral approach for meson-meson interactions
title_fullStr A non-perturbative chiral approach for meson-meson interactions
title_full_unstemmed A non-perturbative chiral approach for meson-meson interactions
title_sort A non-perturbative chiral approach for meson-meson interactions
dc.creator.none.fl_str_mv Oller, J. A.
Oset, E.
Guerrero, F.
Peláez Sagredo, José Ramón
author Oller, J. A.
author_facet Oller, J. A.
Oset, E.
Guerrero, F.
Peláez Sagredo, José Ramón
author_role author
author2 Oset, E.
Guerrero, F.
Peláez Sagredo, José Ramón
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Scattering
Física-Modelos matemáticos
Física matemática
topic 51-73
Scattering
Física-Modelos matemáticos
Física matemática
description A non-perturbative method [1] which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe meson-meson interactions up to √s<_~1.2 GeV, extending in this way the range of applicability of the information contained in Chiral Perturbation Theory (X PT) [2], since this perturbative series is typically restricted to √s<_500 MeV. The approach uses the O(p²) and O(p^4) Lagrangians. The seven free parameters resulting from the O(p^4) Lagrangian are fitted to the experimental data. The approach makes use of the expansion of T^(-1) instead of the amplitude itself as done in X PT. The former expansion is suggested by analogy with the effective range approximation in Quantum Mechanics and it appears to be very useful. The results, in fact, are in good agreement with a vast amount of experimental analyses [3,4]. The amplitudes develop poles corresponding to the fₒ(980), aₒ(980), ρ(770), K*(890), the octet contribution to the φ , fₒ(400 −1200) ≡ σ and κ [4]. The total and partial decay widths of the resonances are also well reproduced.
publishDate 2000
dc.date.none.fl_str_mv 2000
2000-01-31
2000
2000-01-31
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/59876
url https://hdl.handle.net/20.500.14352/59876
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Bv
publisher.none.fl_str_mv Elsevier Science Bv
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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