Dalitz-plot decomposition for three-body decays

We present a general formalism to write the decay amplitude for multibody reactions with explicit separation of the rotational degrees of freedom, which are well controlled by the spin of the decay particle, and dynamic functions on the subchannel invariant masses, which require modeling. Using the...

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Autores: Mikhasenko, M., Albaladejo, M., Bibrzycki, Ł., Fernández Ramírez, César, Mathieu, Vincent, Mitchell, S., Pappagallo, M., Pilloni, A., Winney, D., Skwarnicki, T., 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:20.500.14352/7254
Acceso en línea:https://hdl.handle.net/20.500.14352/7254
Access Level:acceso abierto
Palabra clave:Física-Modelos matemáticos
Física nuclear
Partículas
2207 Física Atómica y Nuclear
2208 Nucleónica
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repository_id_str
spelling Dalitz-plot decomposition for three-body decaysMikhasenko, M.Albaladejo, M.Bibrzycki, Ł.Fernández Ramírez, CésarMathieu, VincentMitchell, S.Pappagallo, M.Pilloni, A.Winney, D.Skwarnicki, T.Szczepaniak, A. P.Física-Modelos matemáticosFísica nuclearPartículas2207 Física Atómica y Nuclear2208 NucleónicaWe present a general formalism to write the decay amplitude for multibody reactions with explicit separation of the rotational degrees of freedom, which are well controlled by the spin of the decay particle, and dynamic functions on the subchannel invariant masses, which require modeling. Using the three-particle kinematics we demonstrate the proposed factorization, named the Dalitz-plot decomposition. The Wigner rotations, which are subtle factors needed by the isobar modeling in the helicity framework, are simplified with the proposed decomposition. Consequently, we are able to provide them in an explicit form suitable for the general case of arbitrary spins. The only unknown model-dependent factors are the isobar line shapes that describe the subchannel dynamics. The advantages of the new decomposition are shown through three examples relevant for the recent discovery of the exotic charmonium candidate Z c ( 4430 ) , the pentaquarks P c , and the intriguing Λ + c → p K − π + decay.APS PhysicsUniversidad Complutense de Madrid20202020-02-2620202020-02-26journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/7254reponame: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:20.500.14352/72542026-06-02T12:44:21Z
dc.title.none.fl_str_mv Dalitz-plot decomposition for three-body decays
title Dalitz-plot decomposition for three-body decays
spellingShingle Dalitz-plot decomposition for three-body decays
Mikhasenko, M.
Física-Modelos matemáticos
Física nuclear
Partículas
2207 Física Atómica y Nuclear
2208 Nucleónica
title_short Dalitz-plot decomposition for three-body decays
title_full Dalitz-plot decomposition for three-body decays
title_fullStr Dalitz-plot decomposition for three-body decays
title_full_unstemmed Dalitz-plot decomposition for three-body decays
title_sort Dalitz-plot decomposition for three-body decays
dc.creator.none.fl_str_mv Mikhasenko, M.
Albaladejo, M.
Bibrzycki, Ł.
Fernández Ramírez, César
Mathieu, Vincent
Mitchell, S.
Pappagallo, M.
Pilloni, A.
Winney, D.
Skwarnicki, T.
Szczepaniak, A. P.
author Mikhasenko, M.
author_facet Mikhasenko, M.
Albaladejo, M.
Bibrzycki, Ł.
Fernández Ramírez, César
Mathieu, Vincent
Mitchell, S.
Pappagallo, M.
Pilloni, A.
Winney, D.
Skwarnicki, T.
Szczepaniak, A. P.
author_role author
author2 Albaladejo, M.
Bibrzycki, Ł.
Fernández Ramírez, César
Mathieu, Vincent
Mitchell, S.
Pappagallo, M.
Pilloni, A.
Winney, D.
Skwarnicki, T.
Szczepaniak, A. P.
author2_role author
author
author
author
author
author
author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Física-Modelos matemáticos
Física nuclear
Partículas
2207 Física Atómica y Nuclear
2208 Nucleónica
topic Física-Modelos matemáticos
Física nuclear
Partículas
2207 Física Atómica y Nuclear
2208 Nucleónica
description We present a general formalism to write the decay amplitude for multibody reactions with explicit separation of the rotational degrees of freedom, which are well controlled by the spin of the decay particle, and dynamic functions on the subchannel invariant masses, which require modeling. Using the three-particle kinematics we demonstrate the proposed factorization, named the Dalitz-plot decomposition. The Wigner rotations, which are subtle factors needed by the isobar modeling in the helicity framework, are simplified with the proposed decomposition. Consequently, we are able to provide them in an explicit form suitable for the general case of arbitrary spins. The only unknown model-dependent factors are the isobar line shapes that describe the subchannel dynamics. The advantages of the new decomposition are shown through three examples relevant for the recent discovery of the exotic charmonium candidate Z c ( 4430 ) , the pentaquarks P c , and the intriguing Λ + c → p K − π + decay.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-02-26
2020
2020-02-26
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/20.500.14352/7254
url https://hdl.handle.net/20.500.14352/7254
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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