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Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach

We formulate the final-state interaction of the a1(1260) resonance decay in a manifestly three-body unitary parametrization and fit it to the a1(1260) line shape measured by the ALEPH experiment. Dalitz plots calculated from this fit are presented. The work demonstrates the feasibility to numericall...

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Detalles Bibliográficos
Autores principales: Sadasivan, D., Mai, M., Akdag, H., Döring, M.
Lenguaje:eng
Publicado: 2020
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.101.094018
https://dx.doi.org/10.1103/PhysRevD.103.019901
http://cds.cern.ch/record/2713261
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author Sadasivan, D.
Mai, M.
Akdag, H.
Döring, M.
author_facet Sadasivan, D.
Mai, M.
Akdag, H.
Döring, M.
author_sort Sadasivan, D.
collection CERN
description We formulate the final-state interaction of the a1(1260) resonance decay in a manifestly three-body unitary parametrization and fit it to the a1(1260) line shape measured by the ALEPH experiment. Dalitz plots calculated from this fit are presented. The work demonstrates the feasibility to numerically solve a previously derived amplitude and its generalization to isobars with spin and coupled channels. The model can also be applied to other meson decays and modified for the finite-volume problem as it arises in lattice QCD due to its manifest unitarity.
id cern-2713261
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2020
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spelling cern-27132612023-03-14T19:04:47Zdoi:10.1103/PhysRevD.101.094018doi:10.1103/PhysRevD.103.019901http://cds.cern.ch/record/2713261engSadasivan, D.Mai, M.Akdag, H.Döring, M.Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approachnucl-exNuclear Physics - Experimenthep-phParticle Physics - Phenomenologynucl-thNuclear Physics - TheoryWe formulate the final-state interaction of the a1(1260) resonance decay in a manifestly three-body unitary parametrization and fit it to the a1(1260) line shape measured by the ALEPH experiment. Dalitz plots calculated from this fit are presented. The work demonstrates the feasibility to numerically solve a previously derived amplitude and its generalization to isobars with spin and coupled channels. The model can also be applied to other meson decays and modified for the finite-volume problem as it arises in lattice QCD due to its manifest unitarity.We formulate the final state interaction of the $a_1(1260)$ resonance decay in a manifestly three-body unitary parameterization and fit it to the $a_1(1260)$ lineshape measured by the ALEPH experiment. Dalitz plots calculated from this fit are presented. The work demonstrates the feasibility to numerically solve a previously derived amplitude and its generalization to isobars with spin and coupled channels. The model can also be applied to other meson decays and modified for the finite-volume problem as it arises in lattice QCD due to its manifest unitarity.arXiv:2002.12431oai:cds.cern.ch:27132612020-02-27
spellingShingle nucl-ex
Nuclear Physics - Experiment
hep-ph
Particle Physics - Phenomenology
nucl-th
Nuclear Physics - Theory
Sadasivan, D.
Mai, M.
Akdag, H.
Döring, M.
Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
title Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
title_full Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
title_fullStr Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
title_full_unstemmed Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
title_short Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
title_sort dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
topic nucl-ex
Nuclear Physics - Experiment
hep-ph
Particle Physics - Phenomenology
nucl-th
Nuclear Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.101.094018
https://dx.doi.org/10.1103/PhysRevD.103.019901
http://cds.cern.ch/record/2713261
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