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Khuri-Treiman equations for $3\pi$ 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 3π 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 principales: Albaladejo, M., Winney, D., Danilkin, I.V., Fernández-Ramírez, C., Mathieu, V., Mikhasenko, M., Pilloni, A., Silva-Castro, J.A., Szczepaniak, A.P.
Lenguaje:eng
Publicado: 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.101.054018
http://cds.cern.ch/record/2693522
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author Albaladejo, M.
Winney, D.
Danilkin, I.V.
Fernández-Ramírez, C.
Mathieu, V.
Mikhasenko, M.
Pilloni, A.
Silva-Castro, J.A.
Szczepaniak, A.P.
author_facet Albaladejo, M.
Winney, D.
Danilkin, I.V.
Fernández-Ramírez, C.
Mathieu, V.
Mikhasenko, M.
Pilloni, A.
Silva-Castro, J.A.
Szczepaniak, A.P.
author_sort Albaladejo, M.
collection CERN
description Khuri-Treiman equations have proven to be a useful theoretical tool in the analysis of three-body decays, especially into the 3π 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.
id cern-2693522
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
record_format invenio
spelling cern-26935222021-02-27T04:38:59Zdoi:10.1103/PhysRevD.101.054018http://cds.cern.ch/record/2693522engAlbaladejo, M.Winney, D.Danilkin, I.V.Fernández-Ramírez, C.Mathieu, V.Mikhasenko, M.Pilloni, A.Silva-Castro, J.A.Szczepaniak, A.P.Khuri-Treiman equations for $3\pi$ decays of particles with spinnucl-thNuclear Physics - Theoryhep-thParticle Physics - Theoryhep-exParticle Physics - Experimenthep-phParticle Physics - PhenomenologyKhuri-Treiman equations have proven to be a useful theoretical tool in the analysis of three-body decays, especially into the 3π 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.Khuri-Treiman equations have proven to be a useful theoretical tool in the analysis of 3-body decays, specially into the $3\pi$ 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, specially 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.arXiv:1910.03107JLAB-THY-19-3066oai:cds.cern.ch:26935222019-10-07
spellingShingle nucl-th
Nuclear Physics - Theory
hep-th
Particle Physics - Theory
hep-ex
Particle Physics - Experiment
hep-ph
Particle Physics - Phenomenology
Albaladejo, M.
Winney, D.
Danilkin, I.V.
Fernández-Ramírez, C.
Mathieu, V.
Mikhasenko, M.
Pilloni, A.
Silva-Castro, J.A.
Szczepaniak, A.P.
Khuri-Treiman equations for $3\pi$ decays of particles with spin
title Khuri-Treiman equations for $3\pi$ decays of particles with spin
title_full Khuri-Treiman equations for $3\pi$ decays of particles with spin
title_fullStr Khuri-Treiman equations for $3\pi$ decays of particles with spin
title_full_unstemmed Khuri-Treiman equations for $3\pi$ decays of particles with spin
title_short Khuri-Treiman equations for $3\pi$ decays of particles with spin
title_sort khuri-treiman equations for $3\pi$ decays of particles with spin
topic nucl-th
Nuclear Physics - Theory
hep-th
Particle Physics - Theory
hep-ex
Particle Physics - Experiment
hep-ph
Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.101.054018
http://cds.cern.ch/record/2693522
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