Cargando…

Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states

In this work, we use an extension of the quantization condition, given in ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The original form of the relativistic three-particle quantization...

Descripción completa

Detalles Bibliográficos
Autores principales: Romero-López, Fernando, Sharpe, Stephen R., Blanton, Tyler D., Briceño, Raúl A., Hansen, Maxwell T.
Lenguaje:eng
Publicado: 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP10(2019)007
http://cds.cern.ch/record/2686488
_version_ 1780963546391117824
author Romero-López, Fernando
Sharpe, Stephen R.
Blanton, Tyler D.
Briceño, Raúl A.
Hansen, Maxwell T.
author_facet Romero-López, Fernando
Sharpe, Stephen R.
Blanton, Tyler D.
Briceño, Raúl A.
Hansen, Maxwell T.
author_sort Romero-López, Fernando
collection CERN
description In this work, we use an extension of the quantization condition, given in ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The original form of the relativistic three-particle quantization condition was derived under a technical assumption on the two- particle K matrix that required the absence of two-particle bound states or narrow two- particle resonances. Here we describe how this restriction can be lifted in a simple way using the freedom in the definition of the K-matrix-like quantity that enters the quantization condition. With this in hand, we extend previous numerical studies of the quantization condition to explore the finite-volume signature for a variety of two- and three-particle interactions. We determine the spectrum for parameters such that the system contains both dimers (two-particle bound states) and one or more trimers (in which all three particles are bound), and also for cases where the two-particle subchannel is resonant. We also show how the quantization condition provides a tool for determining infinite-volume dimer- particle scattering amplitudes for energies below the dimer breakup. We illustrate this for a series of examples, including one that parallels physical deuteron-nucleon scattering. All calculations presented here are restricted to the case of three identical scalar particles.
id cern-2686488
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
record_format invenio
spelling cern-26864882023-10-04T06:29:32Zdoi:10.1007/JHEP10(2019)007http://cds.cern.ch/record/2686488engRomero-López, FernandoSharpe, Stephen R.Blanton, Tyler D.Briceño, Raúl A.Hansen, Maxwell T.Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound statesphysics.atom-phOther Fields of Physicsnucl-thNuclear Physics - Theoryhep-phParticle Physics - Phenomenologycond-mat.stat-mechhep-latParticle Physics - LatticeIn this work, we use an extension of the quantization condition, given in ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The original form of the relativistic three-particle quantization condition was derived under a technical assumption on the two- particle K matrix that required the absence of two-particle bound states or narrow two- particle resonances. Here we describe how this restriction can be lifted in a simple way using the freedom in the definition of the K-matrix-like quantity that enters the quantization condition. With this in hand, we extend previous numerical studies of the quantization condition to explore the finite-volume signature for a variety of two- and three-particle interactions. We determine the spectrum for parameters such that the system contains both dimers (two-particle bound states) and one or more trimers (in which all three particles are bound), and also for cases where the two-particle subchannel is resonant. We also show how the quantization condition provides a tool for determining infinite-volume dimer- particle scattering amplitudes for energies below the dimer breakup. We illustrate this for a series of examples, including one that parallels physical deuteron-nucleon scattering. All calculations presented here are restricted to the case of three identical scalar particles.In this work, we use an extension of the quantization condition, given in Ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The original form of the relativistic three-particle quantization condition was derived under a technical assumption on the two-particle K matrix that required the absence of two-particle bound states or narrow two-particle resonances. Here we describe how this restriction can be lifted in a simple way using the freedom in the definition of the K-matrix-like quantity that enters the quantization condition. With this in hand, we extend previous numerical studies of the quantization condition to explore the finite-volume signature for a variety of two- and three-particle interactions. We determine the spectrum for parameters such that the system contains both dimers (two-particle bound states) and one or more trimers (in which all three particles are bound), and also for cases where the two-particle subchannel is resonant. We also show how the quantization condition provides a tool for determining infinite-volume dimer-particle scattering amplitudes for energies below the dimer breakup. We illustrate this for a series of examples, including one that parallels physical deuteron-nucleon scattering. All calculations presented here are restricted to the case of three identical scalar particles.arXiv:1908.02411JLAB-THY-19-3011CERN-TH-2019-129oai:cds.cern.ch:26864882019-08-06
spellingShingle physics.atom-ph
Other Fields of Physics
nucl-th
Nuclear Physics - Theory
hep-ph
Particle Physics - Phenomenology
cond-mat.stat-mech
hep-lat
Particle Physics - Lattice
Romero-López, Fernando
Sharpe, Stephen R.
Blanton, Tyler D.
Briceño, Raúl A.
Hansen, Maxwell T.
Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
title Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
title_full Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
title_fullStr Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
title_full_unstemmed Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
title_short Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
title_sort numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
topic physics.atom-ph
Other Fields of Physics
nucl-th
Nuclear Physics - Theory
hep-ph
Particle Physics - Phenomenology
cond-mat.stat-mech
hep-lat
Particle Physics - Lattice
url https://dx.doi.org/10.1007/JHEP10(2019)007
http://cds.cern.ch/record/2686488
work_keys_str_mv AT romerolopezfernando numericalexplorationofthreerelativisticparticlesinafinitevolumeincludingtwoparticleresonancesandboundstates
AT sharpestephenr numericalexplorationofthreerelativisticparticlesinafinitevolumeincludingtwoparticleresonancesandboundstates
AT blantontylerd numericalexplorationofthreerelativisticparticlesinafinitevolumeincludingtwoparticleresonancesandboundstates
AT bricenoraula numericalexplorationofthreerelativisticparticlesinafinitevolumeincludingtwoparticleresonancesandboundstates
AT hansenmaxwellt numericalexplorationofthreerelativisticparticlesinafinitevolumeincludingtwoparticleresonancesandboundstates