We report a lattice QCD study of the heavy-light meson-meson interactions with an explicitly exotic flavor content , isospin , and axial-vector quantum numbers in search of possible tetraquark bound states. The calculation is performed at four values of lattice spacing, ranging from to , and at five different values of valence light quark mass , corresponding to pseudoscalar meson mass of about 0.5, 0.6, 0.7, 1.0, and 3.0 GeV. The energy eigenvalues in the finite volume are determined through a variational procedure applied to correlation matrices built out of two-meson interpolating operators as well as diquark-antidiquark operators. The continuum limit estimates for elastic -wave scattering amplitude are extracted from the lowest finite-volume eigenenergies, corresponding to the ground states, using amplitude parametrizations supplemented by a lattice spacing dependence. Light quark mass dependence of the scattering length () suggests that at the physical pion mass , which clearly points to an attractive interaction between the and mesons that is strong enough to host a real bound state , with a binding energy of with respect to the threshold. We also find that the strength of the binding decreases with increasing and the system becomes unbound at a critical light quark mass corresponding to .
{ "_oai": { "updated": "2024-05-23T08:12:37Z", "id": "oai:repo.scoap3.org:85454", "sets": [ "PRL" ] }, "authors": [ { "raw_name": "M. Padmanath", "affiliations": [ { "country": "India", "value": "The Institute of Mathematical Sciences, a CI of Homi Bhabha National Institute, Chennai, 600113, India" } ], "surname": "Padmanath", "given_names": "M.", "full_name": "Padmanath, M." }, { "raw_name": "Archana Radhakrishnan", "affiliations": [ { "country": "India", "value": "Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India" } ], "surname": "Radhakrishnan", "given_names": "Archana", "full_name": "Radhakrishnan, Archana" }, { "raw_name": "Nilmani Mathur", "affiliations": [ { "country": "India", "value": "Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India" } ], "surname": "Mathur", "given_names": "Nilmani", "full_name": "Mathur, Nilmani" } ], "titles": [ { "source": "APS", "title": "Bound Isoscalar Axial-Vector <math><mi>b</mi><mi>c</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> Tetraquark <math><msub><mi>T</mi><mrow><mi>b</mi><mi>c</mi></mrow></msub></math> from Lattice QCD Using Two-Meson and Diquark-Antidiquark Variational Basis" } ], "dois": [ { "value": "10.1103/PhysRevLett.132.201902" } ], "publication_info": [ { "journal_volume": "132", "journal_title": "Physical Review Letters", "material": "article", "journal_issue": "20", "year": 2024 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-05-14T20:30:04.446010", "source": "APS", "method": "APS", "submission_number": "bc71e144123011efaee6f6c28218b10c" }, "page_nr": [ 9 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2024" } ], "control_number": "85454", "record_creation_date": "2024-05-14T20:30:04.446024", "_files": [ { "checksum": "md5:4dcefb0d95522b97c64be29d4b7b6011", "filetype": "pdf", "bucket": "ada3398a-c7de-4555-842d-471b496d8255", "version_id": "b3e94620-46b4-4264-99b6-babd38c8ec24", "key": "10.1103/PhysRevLett.132.201902.pdf", "size": 906297 }, { "checksum": "md5:21506a9afb00f41b7f0923bb6c8dbc39", "filetype": "xml", "bucket": "ada3398a-c7de-4555-842d-471b496d8255", "version_id": "be1b31a6-f7f6-49a6-b8a8-87100ff71b13", "key": "10.1103/PhysRevLett.132.201902.xml", "size": 184363 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-lat", "hep-ex", "hep-ph" ], "value": "2307.14128" } ], "abstracts": [ { "source": "APS", "value": "We report a lattice QCD study of the heavy-light meson-meson interactions with an explicitly exotic flavor content <math><mi>b</mi><mi>c</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math>, isospin <math><mi>I</mi><mo>=</mo><mn>0</mn></math>, and axial-vector <math><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><msup><mn>1</mn><mo>+</mo></msup></math> quantum numbers in search of possible tetraquark bound states. The calculation is performed at four values of lattice spacing, ranging from <math><mo>\u223c</mo><mn>0.058</mn></math> to <math><mo>\u223c</mo><mn>0.12</mn><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>, and at five different values of valence light quark mass <math><msub><mi>m</mi><mrow><mi>u</mi><mo>/</mo><mi>d</mi></mrow></msub></math>, corresponding to pseudoscalar meson mass <math><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>ps</mi></mrow></msub></mrow></math> of about 0.5, 0.6, 0.7, 1.0, and 3.0 GeV. The energy eigenvalues in the finite volume are determined through a variational procedure applied to correlation matrices built out of two-meson interpolating operators as well as diquark-antidiquark operators. The continuum limit estimates for <math><mi>D</mi><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> elastic <math><mi>S</mi></math>-wave scattering amplitude are extracted from the lowest finite-volume eigenenergies, corresponding to the ground states, using amplitude parametrizations supplemented by a lattice spacing dependence. Light quark mass <math><msub><mi>m</mi><mrow><mi>u</mi><mo>/</mo><mi>d</mi></mrow></msub></math> dependence of the <math><mi>D</mi><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> scattering length (<math><msub><mi>a</mi><mn>0</mn></msub></math>) suggests that at the physical pion mass <math><msubsup><mi>a</mi><mn>0</mn><mrow><mi>phys</mi></mrow></msubsup><mo>=</mo><mo>+</mo><mn>0.57</mn><msubsup><mo>(</mo><mrow><mo>\u2212</mo><mn>5</mn></mrow><mrow><mo>+</mo><mn>4</mn></mrow></msubsup><mo>)</mo><mo>(</mo><mn>17</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>, which clearly points to an attractive interaction between the <math><mi>D</mi></math> and <math><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> mesons that is strong enough to host a real bound state <math><msub><mi>T</mi><mrow><mi>b</mi><mi>c</mi></mrow></msub></math>, with a binding energy of <math><mrow><mo>\u2212</mo><mn>43</mn><msubsup><mrow><mo>(</mo></mrow><mrow><mo>\u2212</mo><mn>7</mn></mrow><mrow><mo>+</mo><mn>6</mn></mrow></msubsup><mo>)</mo><msubsup><mrow><mo>(</mo></mrow><mrow><mo>\u2212</mo><mn>24</mn></mrow><mrow><mo>+</mo><mn>14</mn></mrow></msubsup><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></mrow></math> with respect to the <math><mi>D</mi><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mo>*</mo></msup></math> threshold. We also find that the strength of the binding decreases with increasing <math><msub><mi>m</mi><mrow><mi>u</mi><mo>/</mo><mi>d</mi></mrow></msub></math> and the system becomes unbound at a critical light quark mass <math><msubsup><mi>m</mi><mrow><mi>u</mi><mo>/</mo><mi>d</mi></mrow><mo>*</mo></msubsup></math> corresponding to <math><msubsup><mi>M</mi><mrow><mi>ps</mi></mrow><mo>*</mo></msubsup><mo>=</mo><mn>2.73</mn><mo>(</mo><mn>21</mn><mo>)</mo><mo>(</mo><mn>19</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>." } ], "imprints": [ { "date": "2024-05-14", "publisher": "APS" } ] }