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Three-particle systems with resonant subprocesses in a finite volume
In previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 90, 116003 (2014); P...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2018
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Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.99.014516 http://cds.cern.ch/record/2644279 |
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author | Briceño, Raúl A. Hansen, Maxwell T. Sharpe, Stephen R. |
author_facet | Briceño, Raúl A. Hansen, Maxwell T. Sharpe, Stephen R. |
author_sort | Briceño, Raúl A. |
collection | CERN |
description | In previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 90, 116003 (2014); PRVDAQ1550-799810.1103/PhysRevD.90.116003M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015); PRVDAQ1550-799810.1103/PhysRevD.92.114509R. A. Briceño , Phys. Rev. D 95, 074510 (2017).PRVDAQ2470-001010.1103/PhysRevD.95.074510]. Here we lift this restriction, by deriving the quantization condition for identical scalar particles with a G-parity symmetry, in the case that the two-particle K matrix has a pole in the kinematic regime of interest. As in earlier work, our result involves intermediate infinite-volume quantities with no direct physical interpretation, and we show how these are related to the physical three-to-three scattering amplitude by integral equations. This work opens the door to study processes such as a2→ρπ→πππ, in which the ρ is rigorously treated as a resonance state. |
id | cern-2644279 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2018 |
record_format | invenio |
spelling | cern-26442792021-02-27T04:09:39Zdoi:10.1103/PhysRevD.99.014516http://cds.cern.ch/record/2644279engBriceño, Raúl A.Hansen, Maxwell T.Sharpe, Stephen R.Three-particle systems with resonant subprocesses in a finite volumehep-latParticle Physics - LatticeIn previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 90, 116003 (2014); PRVDAQ1550-799810.1103/PhysRevD.90.116003M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015); PRVDAQ1550-799810.1103/PhysRevD.92.114509R. A. Briceño , Phys. Rev. D 95, 074510 (2017).PRVDAQ2470-001010.1103/PhysRevD.95.074510]. Here we lift this restriction, by deriving the quantization condition for identical scalar particles with a G-parity symmetry, in the case that the two-particle K matrix has a pole in the kinematic regime of interest. As in earlier work, our result involves intermediate infinite-volume quantities with no direct physical interpretation, and we show how these are related to the physical three-to-three scattering amplitude by integral equations. This work opens the door to study processes such as a2→ρπ→πππ, in which the ρ is rigorously treated as a resonance state.In previous work, we have developed a relativistic, model-independent three-particle quantization condition, but only under the assumption that no poles are present in the two-particle K matrices that appear as scattering subprocesses. Here we lift this restriction, by deriving the quantization condition for identical scalar particles with a G-parity symmetry, in the case that the two-particle K matrix has a pole in the kinematic regime of interest. As in earlier work, our result involves intermediate infinite-volume quantities with no direct physical interpretation, and we show how these are related to the physical three-to-three scattering amplitude by integral equations. This work opens the door to study processes such as $a_2 \to \rho \pi \to \pi \pi \pi$, in which the $\rho$ is rigorously treated as a resonance state.arXiv:1810.01429JLAB-THY-18-2819oai:cds.cern.ch:26442792018-10-02 |
spellingShingle | hep-lat Particle Physics - Lattice Briceño, Raúl A. Hansen, Maxwell T. Sharpe, Stephen R. Three-particle systems with resonant subprocesses in a finite volume |
title | Three-particle systems with resonant subprocesses in a finite volume |
title_full | Three-particle systems with resonant subprocesses in a finite volume |
title_fullStr | Three-particle systems with resonant subprocesses in a finite volume |
title_full_unstemmed | Three-particle systems with resonant subprocesses in a finite volume |
title_short | Three-particle systems with resonant subprocesses in a finite volume |
title_sort | three-particle systems with resonant subprocesses in a finite volume |
topic | hep-lat Particle Physics - Lattice |
url | https://dx.doi.org/10.1103/PhysRevD.99.014516 http://cds.cern.ch/record/2644279 |
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