Tetraquarks in the Born-Oppenheimer approximation

Abstract The conventional loosely bound molecule interpretation of the X(3872) is not compatible with the recent LHCb experimental measurement of the ratio of branching fractions R $$ \mathcal{R} $$ = Br(X → ψ′γ)/Br(X → ψγ). We systematically determine the entire tetraquark spectrum for J = 0, 1, 2...

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Main Authors: D. Germani, B. Grinstein, A. D. Polosa
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2025)004
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author D. Germani
B. Grinstein
A. D. Polosa
author_facet D. Germani
B. Grinstein
A. D. Polosa
author_sort D. Germani
collection DOAJ
description Abstract The conventional loosely bound molecule interpretation of the X(3872) is not compatible with the recent LHCb experimental measurement of the ratio of branching fractions R $$ \mathcal{R} $$ = Br(X → ψ′γ)/Br(X → ψγ). We systematically determine the entire tetraquark spectrum for J = 0, 1, 2 and refine the calculation of R $$ \mathcal{R} $$ in an improved Born-Oppenheimer description of the X(3872) compact tetraquark. This refinement yields a significantly better agreement with experimental data on R $$ \mathcal{R} $$ and on the spectroscopy of the states themselves. Extending the diquark-antidiquark paradigm to encompass tetraquarks that are linear super-positions of open charm singlets and color octets, we discover that these exotic resonances manifest as compact shallow bound states of quarks in color force potentials.
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spelling doaj-art-826b5895788040beb6abfe57ceca28212025-08-20T02:15:00ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025413110.1007/JHEP04(2025)004Tetraquarks in the Born-Oppenheimer approximationD. Germani0B. Grinstein1A. D. Polosa2Università degli Studi di Roma La Sapienza and INFN Section of Roma 1University of California, San DiegoUniversità degli Studi di Roma La Sapienza and INFN Section of Roma 1Abstract The conventional loosely bound molecule interpretation of the X(3872) is not compatible with the recent LHCb experimental measurement of the ratio of branching fractions R $$ \mathcal{R} $$ = Br(X → ψ′γ)/Br(X → ψγ). We systematically determine the entire tetraquark spectrum for J = 0, 1, 2 and refine the calculation of R $$ \mathcal{R} $$ in an improved Born-Oppenheimer description of the X(3872) compact tetraquark. This refinement yields a significantly better agreement with experimental data on R $$ \mathcal{R} $$ and on the spectroscopy of the states themselves. Extending the diquark-antidiquark paradigm to encompass tetraquarks that are linear super-positions of open charm singlets and color octets, we discover that these exotic resonances manifest as compact shallow bound states of quarks in color force potentials.https://doi.org/10.1007/JHEP04(2025)004Effective Field Theories of QCDQuarkoniumSpecific QCD Phenomenology
spellingShingle D. Germani
B. Grinstein
A. D. Polosa
Tetraquarks in the Born-Oppenheimer approximation
Journal of High Energy Physics
Effective Field Theories of QCD
Quarkonium
Specific QCD Phenomenology
title Tetraquarks in the Born-Oppenheimer approximation
title_full Tetraquarks in the Born-Oppenheimer approximation
title_fullStr Tetraquarks in the Born-Oppenheimer approximation
title_full_unstemmed Tetraquarks in the Born-Oppenheimer approximation
title_short Tetraquarks in the Born-Oppenheimer approximation
title_sort tetraquarks in the born oppenheimer approximation
topic Effective Field Theories of QCD
Quarkonium
Specific QCD Phenomenology
url https://doi.org/10.1007/JHEP04(2025)004
work_keys_str_mv AT dgermani tetraquarksinthebornoppenheimerapproximation
AT bgrinstein tetraquarksinthebornoppenheimerapproximation
AT adpolosa tetraquarksinthebornoppenheimerapproximation