Variational study of two-nucleon systems with lattice QCD

The low-energy spectrum and scattering of two-nucleon systems are studied with lattice quantum chromodynamics using a variational approach. A wide range of interpolating operators are used: dibaryon operators built from products of plane-wave nucleons, hexaquark operators built from six localized qu...

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Autores: Amarasinghe, Saman, Baghdadi, Riyadh, Davoudi, Zohreh, Detmold, William, Illa, Marc, Parreño García, Assumpta, Pochinsky, Andrew V., Shanahan, Phiala E., Wagman, Michael L.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/199608
Acceso en línea:https://hdl.handle.net/2445/199608
Access Level:acceso abierto
Palabra clave:Cromodinàmica quàntica
Quarks
Física de partícules
Quantum chromodynamics
Particle physics
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spelling Variational study of two-nucleon systems with lattice QCDAmarasinghe, SamanBaghdadi, RiyadhDavoudi, ZohrehDetmold, WilliamIlla, MarcParreño García, AssumptaPochinsky, Andrew V.Shanahan, Phiala E.Wagman, Michael L.Cromodinàmica quànticaQuarksFísica de partículesQuantum chromodynamicsQuarksParticle physicsThe low-energy spectrum and scattering of two-nucleon systems are studied with lattice quantum chromodynamics using a variational approach. A wide range of interpolating operators are used: dibaryon operators built from products of plane-wave nucleons, hexaquark operators built from six localized quarks, and quasilocal operators inspired by two-nucleon bound-state wave functions in low-energy effective theories. Sparsening techniques are used to compute the timeslice-to-all quark propagators required to form correlation-function matrices using products of these operators. Projection of these matrices onto irreducible representations of the cubic group, including spin-orbit coupling, is detailed. Variational methods are applied to constrain the low-energy spectra of two-nucleon systems in a single finite volume with quark masses corresponding to a pion mass of 806 MeV. Results for S- and D-wave phase shifts in the isospin singlet and triplet channels are obtained under the assumption that partial-wave mixing is negligible. Tests of interpolating-operator dependence are used to investigate the reliability of the energy spectra obtained and highlight both the strengths and weaknesses of variational methods. These studies and comparisons to previous studies using the same gauge-field ensemble demonstrate that interpolating-operator dependence can lead to significant effects on the two-nucleon energy spectra obtained using both variational and nonvariational methods, including missing energy levels and other discrepancies. While this study is inconclusive regarding the presence of two-nucleon bound states at this quark mass, it provides robust upper bounds on two-nucleon energy levels that can be improved in future calculations using additional interpolating operators and is therefore a step toward reliable nuclear spectroscopy from the underlying Standard Model of particle physics.American Physical Society2023202320232023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/2445/199608Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.48550/arXiv.2108.10835Physical Review D, 2023, vol. 107, p. 094508https://doi.org/10.48550/arXiv.2108.10835(c) American Physical Society, 2023info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1996082026-05-29T05:05:01Z
dc.title.none.fl_str_mv Variational study of two-nucleon systems with lattice QCD
title Variational study of two-nucleon systems with lattice QCD
spellingShingle Variational study of two-nucleon systems with lattice QCD
Amarasinghe, Saman
Cromodinàmica quàntica
Quarks
Física de partícules
Quantum chromodynamics
Quarks
Particle physics
title_short Variational study of two-nucleon systems with lattice QCD
title_full Variational study of two-nucleon systems with lattice QCD
title_fullStr Variational study of two-nucleon systems with lattice QCD
title_full_unstemmed Variational study of two-nucleon systems with lattice QCD
title_sort Variational study of two-nucleon systems with lattice QCD
dc.creator.none.fl_str_mv Amarasinghe, Saman
Baghdadi, Riyadh
Davoudi, Zohreh
Detmold, William
Illa, Marc
Parreño García, Assumpta
Pochinsky, Andrew V.
Shanahan, Phiala E.
Wagman, Michael L.
author Amarasinghe, Saman
author_facet Amarasinghe, Saman
Baghdadi, Riyadh
Davoudi, Zohreh
Detmold, William
Illa, Marc
Parreño García, Assumpta
Pochinsky, Andrew V.
Shanahan, Phiala E.
Wagman, Michael L.
author_role author
author2 Baghdadi, Riyadh
Davoudi, Zohreh
Detmold, William
Illa, Marc
Parreño García, Assumpta
Pochinsky, Andrew V.
Shanahan, Phiala E.
Wagman, Michael L.
author2_role author
author
author
author
author
author
author
author
dc.subject.none.fl_str_mv Cromodinàmica quàntica
Quarks
Física de partícules
Quantum chromodynamics
Quarks
Particle physics
topic Cromodinàmica quàntica
Quarks
Física de partícules
Quantum chromodynamics
Quarks
Particle physics
description The low-energy spectrum and scattering of two-nucleon systems are studied with lattice quantum chromodynamics using a variational approach. A wide range of interpolating operators are used: dibaryon operators built from products of plane-wave nucleons, hexaquark operators built from six localized quarks, and quasilocal operators inspired by two-nucleon bound-state wave functions in low-energy effective theories. Sparsening techniques are used to compute the timeslice-to-all quark propagators required to form correlation-function matrices using products of these operators. Projection of these matrices onto irreducible representations of the cubic group, including spin-orbit coupling, is detailed. Variational methods are applied to constrain the low-energy spectra of two-nucleon systems in a single finite volume with quark masses corresponding to a pion mass of 806 MeV. Results for S- and D-wave phase shifts in the isospin singlet and triplet channels are obtained under the assumption that partial-wave mixing is negligible. Tests of interpolating-operator dependence are used to investigate the reliability of the energy spectra obtained and highlight both the strengths and weaknesses of variational methods. These studies and comparisons to previous studies using the same gauge-field ensemble demonstrate that interpolating-operator dependence can lead to significant effects on the two-nucleon energy spectra obtained using both variational and nonvariational methods, including missing energy levels and other discrepancies. While this study is inconclusive regarding the presence of two-nucleon bound states at this quark mass, it provides robust upper bounds on two-nucleon energy levels that can be improved in future calculations using additional interpolating operators and is therefore a step toward reliable nuclear spectroscopy from the underlying Standard Model of particle physics.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/199608
url https://hdl.handle.net/2445/199608
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.48550/arXiv.2108.10835
Physical Review D, 2023, vol. 107, p. 094508
https://doi.org/10.48550/arXiv.2108.10835
dc.rights.none.fl_str_mv (c) American Physical Society, 2023
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2023
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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