We continue our study of heavy-light four-quark states and find evidence from lattice QCD for the existence of a strong-interaction-stable tetraquark with mass in the range of 15 to 61 MeV below threshold. Since this range includes the electromagnetic decay threshold, current uncertainties do not allow us to determine whether such a state would decay electromagnetically or only weakly. We also perform a study at fixed pion mass, with non-relativistic QCD (NRQCD) for the heavy quarks, simulating and tetraquarks with , or and variable, unphysical in order to investigate the heavy mass dependence of such tetraquark states. We find that the dependence of the binding energy follows a phenomenologically expected form and that, though NRQCD breaks down before is reached, the results at higher clearly identify the channel as the most likely to support a strong-interaction-stable tetraquark state at . This observation serves to motivate the direct simulation. Throughout we use dynamical ensembles with pion masses , 299, and 164 MeV reaching down almost to the physical point, a relativistic heavy quark prescription for the charm quark and NRQCD for the bottom quark(s).
{ "_oai": { "updated": "2022-03-04T10:32:03Z", "id": "oai:repo.scoap3.org:46260", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Anthony Francis", "affiliations": [ { "country": "CERN", "value": "Theoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland" } ], "surname": "Francis", "given_names": "Anthony", "full_name": "Francis, Anthony" }, { "raw_name": "Renwick J. Hudspith", "affiliations": [ { "country": "Canada", "value": "Department of Physics and Astronomy, York University, Toronto, Ontario M3J 1P3, Canada" } ], "surname": "Hudspith", "given_names": "Renwick J.", "full_name": "Hudspith, Renwick J." }, { "raw_name": "Randy Lewis", "affiliations": [ { "country": "Canada", "value": "Department of Physics and Astronomy, York University, Toronto, Ontario M3J 1P3, Canada" } ], "surname": "Lewis", "given_names": "Randy", "full_name": "Lewis, Randy" }, { "raw_name": "Kim Maltman", "affiliations": [ { "country": "Canada", "value": "Department of Physics and Astronomy, York University, Toronto, Ontario M3J 1P3, Canada" } ], "surname": "Maltman", "given_names": "Kim", "full_name": "Maltman, Kim" } ], "titles": [ { "source": "APS", "title": "Evidence for charm-bottom tetraquarks and the mass dependence of heavy-light tetraquark states from lattice QCD" } ], "dois": [ { "value": "10.1103/PhysRevD.99.054505" } ], "publication_info": [ { "journal_volume": "99", "journal_title": "Physical Review D", "material": "article", "journal_issue": "5", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2020-06-29T15:38:14.280754", "source": "APS", "method": "APS", "submission_number": "bca49440b8c511eaad8602163e01809a" }, "page_nr": [ 16 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2019" } ], "control_number": "46260", "record_creation_date": "2019-03-21T13:30:17.237660", "_files": [ { "checksum": "md5:18fca9389c2f4b226016c25830aa7145", "filetype": "pdf", "bucket": "5b3abbc9-b566-411d-88a6-20d0fe0543b8", "version_id": "229db736-a5cd-445b-9317-165cab85db67", "key": "10.1103/PhysRevD.99.054505.pdf", "size": 2194400 }, { "checksum": "md5:4b316a8ce0e2da6e7978a6bb527b7067", "filetype": "xml", "bucket": "5b3abbc9-b566-411d-88a6-20d0fe0543b8", "version_id": "d654d196-5bc5-4ae9-864f-43ac58eb455f", "key": "10.1103/PhysRevD.99.054505.xml", "size": 287255 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-lat", "hep-ph", "nucl-th" ], "value": "1810.10550" } ], "abstracts": [ { "source": "APS", "value": "We continue our study of heavy-light four-quark states and find evidence from lattice QCD for the existence of a strong-interaction-stable <math><mi>I</mi><mo>(</mo><msup><mi>J</mi><mi>P</mi></msup><mo>)</mo><mo>=</mo><mn>0</mn><mo>(</mo><msup><mn>1</mn><mo>+</mo></msup><mo>)</mo></math> <math><mi>u</mi><mi>d</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>b</mi><mo>\u00af</mo></mover></math> tetraquark with mass in the range of 15 to 61 MeV below <math><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><msup><mrow><mi>B</mi></mrow><mrow><mo>*</mo></mrow></msup></mrow></math> threshold. Since this range includes the electromagnetic <math><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mi>B</mi><mi>\u03b3</mi></mrow></math> decay threshold, current uncertainties do not allow us to determine whether such a state would decay electromagnetically or only weakly. We also perform a study at fixed pion mass, with non-relativistic QCD (NRQCD) for the heavy quarks, simulating <math><mi>q</mi><msup><mi>q</mi><mo>\u2032</mo></msup><msup><mover><mi>b</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><mover><mi>b</mi><mo>\u00af</mo></mover></math> and <math><mi>q</mi><msup><mi>q</mi><mo>\u2032</mo></msup><msup><mover><mi>b</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><msup><mover><mi>b</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup></math> tetraquarks with <math><mrow><mi>q</mi></mrow></math>, <math><mrow><msup><mrow><mi>q</mi></mrow><mrow><mo>\u2032</mo></mrow></msup><mo>=</mo><mi>u</mi><mi>d</mi></mrow></math> or <math><mrow><mo>\u2113</mo><mi>s</mi></mrow></math> and variable, unphysical <math><msub><mi>m</mi><msup><mi>b</mi><mo>\u2032</mo></msup></msub></math> in order to investigate the heavy mass dependence of such tetraquark states. We find that the dependence of the binding energy follows a phenomenologically expected form and that, though NRQCD breaks down before <math><msub><mi>m</mi><msup><mi>b</mi><mo>\u2032</mo></msup></msub><mo>=</mo><msub><mi>m</mi><mi>c</mi></msub></math> is reached, the results at higher <math><msub><mi>m</mi><msup><mi>b</mi><mo>\u2032</mo></msup></msub></math> clearly identify the <math><mi>u</mi><mi>d</mi><msup><mover><mi>b</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><mover><mi>b</mi><mo>\u00af</mo></mover></math> channel as the most likely to support a strong-interaction-stable tetraquark state at <math><msub><mi>m</mi><msup><mi>b</mi><mo>\u2032</mo></msup></msub><mo>=</mo><msub><mi>m</mi><mi>c</mi></msub></math>. This observation serves to motivate the direct <math><mrow><mi>u</mi><mi>d</mi><mover><mrow><mi>c</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mover><mrow><mi>b</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> simulation. Throughout we use dynamical <math><msub><mi>n</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn></math> ensembles with pion masses <math><msub><mi>m</mi><mi>\u03c0</mi></msub><mo>=</mo><mn>415</mn></math>, 299, and 164 MeV reaching down almost to the physical point, a relativistic heavy quark prescription for the charm quark and NRQCD for the bottom quark(s)." } ], "imprints": [ { "date": "2019-03-21", "publisher": "APS" } ] }