Khuri-Treiman equations for 3π decays of particles with spin

Khuri-Treiman equations have proven to be a useful theoretical tool in the analysis of three-body decays, especially into the 3 π final state. In this work we present in full detail the necessary generalization of the formalism to study the decays of particles with arbitrary spin, parity, and charge...

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Autores: Albaladejo, M., Winney, D., Danilkin, I. V., Fernández Ramírez, César, Mathieu, Vincent, Mikhasenko, M., Pilloni, A., Silva Castro, J. A., Szczepaniak, A. P.
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/7255
Acceso en línea:https://hdl.handle.net/20.500.14352/7255
Access Level:acceso abierto
Palabra clave:Partículas
2208 Nucleónica
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spelling Khuri-Treiman equations for 3π decays of particles with spinAlbaladejo, M.Winney, D.Danilkin, I. V.Fernández Ramírez, CésarMathieu, VincentMikhasenko, M.Pilloni, A.Silva Castro, J. A.Szczepaniak, A. P.Partículas2208 NucleónicaKhuri-Treiman equations have proven to be a useful theoretical tool in the analysis of three-body decays, especially into the 3 π final state. In this work we present in full detail the necessary generalization of the formalism to study the decays of particles with arbitrary spin, parity, and charge conjugation. To this extent, we find it most convenient to work with helicity amplitudes instead of the so-called invariant amplitudes, especially when dealing with the unitarity relations. The isobar expansions in the three possible ( s -, t -, and u -) final channels are related with the appropriate crossing matrices. We pay special attention to the kinematical singularities and constraints of the helicity amplitudes, showing that these can be derived by means of the crossing matrix.APS PhysicsUniversidad Complutense de Madrid20202020-03-1320202020-03-13journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/7255reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/72552026-06-02T12:44:21Z
dc.title.none.fl_str_mv Khuri-Treiman equations for 3π decays of particles with spin
title Khuri-Treiman equations for 3π decays of particles with spin
spellingShingle Khuri-Treiman equations for 3π decays of particles with spin
Albaladejo, M.
Partículas
2208 Nucleónica
title_short Khuri-Treiman equations for 3π decays of particles with spin
title_full Khuri-Treiman equations for 3π decays of particles with spin
title_fullStr Khuri-Treiman equations for 3π decays of particles with spin
title_full_unstemmed Khuri-Treiman equations for 3π decays of particles with spin
title_sort Khuri-Treiman equations for 3π decays of particles with spin
dc.creator.none.fl_str_mv Albaladejo, M.
Winney, D.
Danilkin, I. V.
Fernández Ramírez, César
Mathieu, Vincent
Mikhasenko, M.
Pilloni, A.
Silva Castro, J. A.
Szczepaniak, A. P.
author Albaladejo, M.
author_facet Albaladejo, M.
Winney, D.
Danilkin, I. V.
Fernández Ramírez, César
Mathieu, Vincent
Mikhasenko, M.
Pilloni, A.
Silva Castro, J. A.
Szczepaniak, A. P.
author_role author
author2 Winney, D.
Danilkin, I. V.
Fernández Ramírez, César
Mathieu, Vincent
Mikhasenko, M.
Pilloni, A.
Silva Castro, J. A.
Szczepaniak, A. P.
author2_role author
author
author
author
author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Partículas
2208 Nucleónica
topic Partículas
2208 Nucleónica
description Khuri-Treiman equations have proven to be a useful theoretical tool in the analysis of three-body decays, especially into the 3 π final state. In this work we present in full detail the necessary generalization of the formalism to study the decays of particles with arbitrary spin, parity, and charge conjugation. To this extent, we find it most convenient to work with helicity amplitudes instead of the so-called invariant amplitudes, especially when dealing with the unitarity relations. The isobar expansions in the three possible ( s -, t -, and u -) final channels are related with the appropriate crossing matrices. We pay special attention to the kinematical singularities and constraints of the helicity amplitudes, showing that these can be derived by means of the crossing matrix.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-03-13
2020
2020-03-13
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/20.500.14352/7255
url https://hdl.handle.net/20.500.14352/7255
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
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
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
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv APS Physics
publisher.none.fl_str_mv APS Physics
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 15,300724

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