Relativistic three-body model for final state interaction in D+ → K-π+π+ decay
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , , , , , , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://pos.sissa.it/archive/conferences/119/005/LC2010_005.pdf http://hdl.handle.net/11449/72143 |
Resumo: | A challenge in mesonic three-body decays of heavy mesons is to quantify the contribution of re-scattering between the final mesons. D decays have the unique feature that make them a key to light meson spectroscopy, in particular to access the Kn S-wave phase-shifts. We built a relativis-tic three-body model for the final state interaction in D+ → K -π+π+ decay based on the ladder approximation of the Bethe-Salpeter equation projected on the light-front. The decay amplitude is separated in a smooth term, given by the direct partonic decay amplitude, and a three-body fully interacting contribution, that is factorized in the standard two-meson resonant amplitude times a reduced complex amplitude that carries the effect of the three-body rescattering mechanism. The off-shell reduced amplitude is a solution of an inhomogeneous Faddeev type three-dimensional integral equation, that includes only isospin 1/2 K -π+ interaction in the S-wave channel. The elastic K-π+ scattering amplitude is parameterized according to the LASS data[1]. The integral equation is solved numerically and preliminary results are presented and compared to the experimental data from the E791 Collaboration[2, 3] and FOCUS Collaboration[4, 5]. |
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Relativistic three-body model for final state interaction in D+ → K-π+π+ decayBethe-Salpeter equationComplex amplitudeFinal state interactionsLadder approximationMeson spectroscopyRescattering mechanismResonant amplitudeScattering amplitudesBosonsHadronsIntegral equationsScatteringShear wavesHigh energy physicsA challenge in mesonic three-body decays of heavy mesons is to quantify the contribution of re-scattering between the final mesons. D decays have the unique feature that make them a key to light meson spectroscopy, in particular to access the Kn S-wave phase-shifts. We built a relativis-tic three-body model for the final state interaction in D+ → K -π+π+ decay based on the ladder approximation of the Bethe-Salpeter equation projected on the light-front. The decay amplitude is separated in a smooth term, given by the direct partonic decay amplitude, and a three-body fully interacting contribution, that is factorized in the standard two-meson resonant amplitude times a reduced complex amplitude that carries the effect of the three-body rescattering mechanism. The off-shell reduced amplitude is a solution of an inhomogeneous Faddeev type three-dimensional integral equation, that includes only isospin 1/2 K -π+ interaction in the S-wave channel. The elastic K-π+ scattering amplitude is parameterized according to the LASS data[1]. The integral equation is solved numerically and preliminary results are presented and compared to the experimental data from the E791 Collaboration[2, 3] and FOCUS Collaboration[4, 5].Instituto Tecnológico de Aeronáutica, 12.228-900, São José dos Campos, SPCentro Brasileiro de Pesquisas Físicas, 22.290-180, Rio de Janeiro, RJInstituto de Física Universidade de São Paulo, 05508-090, São PauloInstituto de Física Universidade Federal Fluminense, 24210-346, Niterói, RJInstituto de Física Teórica Universidade Estadual Paulista, 01140-070, São Paulo, SPInstituto de Física Teórica Universidade Estadual Paulista, 01140-070, São Paulo, SPInstituto Tecnológico de AeronáuticaCentro Brasileiro de Pesquisas Físicas (CBPF)Universidade de São Paulo (USP)Universidade Federal Fluminense (UFF)Universidade Estadual Paulista (Unesp)Frederico, T.Guimarães, K. S F FDe Paula, W.Bediaga, I.Dos Reis, A. C.Magalhães, P. C.Robillota, M.Delfino, A.Tomio, L. [UNESP]2014-05-27T11:25:23Z2014-05-27T11:25:23Z2010-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://pos.sissa.it/archive/conferences/119/005/LC2010_005.pdfProceedings of Science.1824-8039http://hdl.handle.net/11449/721432-s2.0-84883569762Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of Science0,115info:eu-repo/semantics/openAccess2021-10-23T10:54:53Zoai:repositorio.unesp.br:11449/72143Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T10:54:53Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Relativistic three-body model for final state interaction in D+ → K-π+π+ decay |
title |
Relativistic three-body model for final state interaction in D+ → K-π+π+ decay |
spellingShingle |
Relativistic three-body model for final state interaction in D+ → K-π+π+ decay Frederico, T. Bethe-Salpeter equation Complex amplitude Final state interactions Ladder approximation Meson spectroscopy Rescattering mechanism Resonant amplitude Scattering amplitudes Bosons Hadrons Integral equations Scattering Shear waves High energy physics |
title_short |
Relativistic three-body model for final state interaction in D+ → K-π+π+ decay |
title_full |
Relativistic three-body model for final state interaction in D+ → K-π+π+ decay |
title_fullStr |
Relativistic three-body model for final state interaction in D+ → K-π+π+ decay |
title_full_unstemmed |
Relativistic three-body model for final state interaction in D+ → K-π+π+ decay |
title_sort |
Relativistic three-body model for final state interaction in D+ → K-π+π+ decay |
author |
Frederico, T. |
author_facet |
Frederico, T. Guimarães, K. S F F De Paula, W. Bediaga, I. Dos Reis, A. C. Magalhães, P. C. Robillota, M. Delfino, A. Tomio, L. [UNESP] |
author_role |
author |
author2 |
Guimarães, K. S F F De Paula, W. Bediaga, I. Dos Reis, A. C. Magalhães, P. C. Robillota, M. Delfino, A. Tomio, L. [UNESP] |
author2_role |
author author author author author author author author |
dc.contributor.none.fl_str_mv |
Instituto Tecnológico de Aeronáutica Centro Brasileiro de Pesquisas Físicas (CBPF) Universidade de São Paulo (USP) Universidade Federal Fluminense (UFF) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Frederico, T. Guimarães, K. S F F De Paula, W. Bediaga, I. Dos Reis, A. C. Magalhães, P. C. Robillota, M. Delfino, A. Tomio, L. [UNESP] |
dc.subject.por.fl_str_mv |
Bethe-Salpeter equation Complex amplitude Final state interactions Ladder approximation Meson spectroscopy Rescattering mechanism Resonant amplitude Scattering amplitudes Bosons Hadrons Integral equations Scattering Shear waves High energy physics |
topic |
Bethe-Salpeter equation Complex amplitude Final state interactions Ladder approximation Meson spectroscopy Rescattering mechanism Resonant amplitude Scattering amplitudes Bosons Hadrons Integral equations Scattering Shear waves High energy physics |
description |
A challenge in mesonic three-body decays of heavy mesons is to quantify the contribution of re-scattering between the final mesons. D decays have the unique feature that make them a key to light meson spectroscopy, in particular to access the Kn S-wave phase-shifts. We built a relativis-tic three-body model for the final state interaction in D+ → K -π+π+ decay based on the ladder approximation of the Bethe-Salpeter equation projected on the light-front. The decay amplitude is separated in a smooth term, given by the direct partonic decay amplitude, and a three-body fully interacting contribution, that is factorized in the standard two-meson resonant amplitude times a reduced complex amplitude that carries the effect of the three-body rescattering mechanism. The off-shell reduced amplitude is a solution of an inhomogeneous Faddeev type three-dimensional integral equation, that includes only isospin 1/2 K -π+ interaction in the S-wave channel. The elastic K-π+ scattering amplitude is parameterized according to the LASS data[1]. The integral equation is solved numerically and preliminary results are presented and compared to the experimental data from the E791 Collaboration[2, 3] and FOCUS Collaboration[4, 5]. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-12-01 2014-05-27T11:25:23Z 2014-05-27T11:25:23Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://pos.sissa.it/archive/conferences/119/005/LC2010_005.pdf Proceedings of Science. 1824-8039 http://hdl.handle.net/11449/72143 2-s2.0-84883569762 |
url |
http://pos.sissa.it/archive/conferences/119/005/LC2010_005.pdf http://hdl.handle.net/11449/72143 |
identifier_str_mv |
Proceedings of Science. 1824-8039 2-s2.0-84883569762 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Proceedings of Science 0,115 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
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1799965584812670976 |