In this article, we take into account our previous calculations based on the QCD sum rules, and tentatively assign the as the tetraquark molecular state or tetraquark state with the , and assign the and as the 1S and 2S tetraquark states, respectively, with the . Then, we extend our previous works to investigate the LHCb’s new tetraquark candidate as the first radial excited state of the with the QCD sum rules and obtain the mass , which is in very good agreement with the experimental value . Furthermore, we investigate the two-meson scattering state contributions in details and observe that the two-meson scattering states alone cannot saturate the QCD sum rules, the contributions of the tetraquark states play an unsubstitutable role, and we can saturate the QCD sum rules with or without the two-meson scattering states.
{ "_oai": { "updated": "2021-12-21T00:15:07Z", "id": "oai:repo.scoap3.org:66703", "sets": [ "AHEP" ] }, "authors": [ { "surname": "Wang", "given_names": "Zhi-Gang", "raw_name": "Wang, Zhi-Gang", "affiliations": [ { "country": "China", "value": "Department of Physics, North China Electric Power University, Baoding 071003, China" } ], "full_name": "Wang, Zhi-Gang", "orcid": "0000-0002-5203-6705" } ], "titles": [ { "source": "Hindawi", "title": "Assignments of the , , , and Based on the QCD Sum Rules" } ], "dois": [ { "value": "10.1155/2021/4426163" } ], "publication_info": [ { "page_start": "4426163", "journal_title": "Advances in High Energy Physics", "year": 2021 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-12-21T00:15:01.400303", "source": "Hindawi", "method": "Hindawi", "submission_number": "0945fa8261f311ecbc4196e84b9c3210" }, "page_nr": [ 11 ], "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "statement": "Copyright \u00a9 2021 Zhi-Gang Wang.", "year": "2021" } ], "control_number": "66703", "record_creation_date": "2021-12-20T18:15:06.576923", "_files": [ { "checksum": "md5:7a89a62d757c182ce6af17b52b7a97e0", "filetype": "pdf", "bucket": "f19c790e-09f4-4315-a359-eb4bd2dce2e5", "version_id": "a804d50a-cc54-4dd0-a591-7cad5ccaddda", "key": "10.1155/2021/4426163.pdf", "size": 675971 }, { "checksum": "md5:375a54164d8a2970b59a2d75843e160e", "filetype": "pdf/a", "bucket": "f19c790e-09f4-4315-a359-eb4bd2dce2e5", "version_id": "5d3e3820-bfac-419d-8536-6cc9e08f6caa", "key": "10.1155/2021/4426163.a.pdf", "size": 570477 }, { "checksum": "md5:ba47129cd7ce5e3b7df452de02b26dec", "filetype": "xml", "bucket": "f19c790e-09f4-4315-a359-eb4bd2dce2e5", "version_id": "6502fbf8-34bf-409d-9c8a-2539fccf04b5", "key": "10.1155/2021/4426163.xml", "size": 516343 } ], "collections": [ { "primary": "Advances in High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-ph" ], "value": "2103.04236" } ], "abstracts": [ { "source": "Hindawi", "value": "In this article, we take into account our previous calculations based on the QCD sum rules, and tentatively assign the <math id=\"M5\"><mi>X</mi><mfenced><mrow><mn>4630</mn></mrow></mfenced></math> as the <math id=\"M6\"><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>\u2217</mo></mrow></msubsup><msub><mrow><mover><mi>D</mi><mo>\u00af</mo></mover></mrow><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo>\u2212</mo><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi><mn>1</mn></mrow></msub><msubsup><mrow><mover><mi>D</mi><mo>\u00af</mo></mover></mrow><mrow><mi>s</mi></mrow><mrow><mo>\u2217</mo></mrow></msubsup></math> tetraquark molecular state or <math id=\"M7\"><msub><mrow><mfenced><mrow><mi>c</mi><mi>s</mi></mrow></mfenced></mrow><mrow><mi>P</mi></mrow></msub><msub><mrow><mfenced><mrow><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></mrow></mfenced></mrow><mrow><mi>A</mi></mrow></msub><mo>+</mo><msub><mrow><mfenced><mrow><mi>c</mi><mi>s</mi></mrow></mfenced></mrow><mrow><mi>A</mi></mrow></msub><msub><mrow><mfenced><mrow><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></mrow></mfenced></mrow><mrow><mi>P</mi></mrow></msub></math> tetraquark state with the <math id=\"M8\"><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>\u2212</mo><mrow><mo>+</mo></mrow></mrow></msup></math>, and assign the <math id=\"M9\"><mi>X</mi><mfenced><mrow><mn>3915</mn></mrow></mfenced></math> and <math id=\"M10\"><mi>X</mi><mfenced><mrow><mn>4500</mn></mrow></mfenced></math> as the 1S and 2S <math id=\"M11\"><msub><mrow><mfenced><mrow><mi>c</mi><mi>s</mi></mrow></mfenced></mrow><mrow><mi>A</mi></mrow></msub><msub><mrow><mfenced><mrow><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></mrow></mfenced></mrow><mrow><mi>A</mi></mrow></msub></math> tetraquark states, respectively, with the <math id=\"M12\"><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mrow><mn>0</mn></mrow><mrow><mo>+</mo><mrow><mo>+</mo></mrow></mrow></msup></math>. Then, we extend our previous works to investigate the LHCb\u2019s new tetraquark candidate <math id=\"M13\"><mi>X</mi><mfenced><mrow><mn>4685</mn></mrow></mfenced></math> as the first radial excited state of the <math id=\"M14\"><mi>X</mi><mfenced><mrow><mn>4140</mn></mrow></mfenced></math> with the QCD sum rules and obtain the mass <math id=\"M15\"><msub><mrow><mi>M</mi></mrow><mrow><mi>X</mi></mrow></msub><mo>=</mo><mn>4.70</mn><mo>\u00b1</mo><mn>0.12</mn><mtext> </mtext><mtext>GeV</mtext></math>, which is in very good agreement with the experimental value <math id=\"M16\"><mn>4684</mn><mo>\u00b1</mo><msubsup><mrow><mn>7</mn></mrow><mrow><mo>\u2212</mo><mn>16</mn></mrow><mrow><mo>+</mo><mn>13</mn></mrow></msubsup><mtext> </mtext><mtext>MeV</mtext></math>. Furthermore, we investigate the two-meson scattering state contributions in details and observe that the two-meson scattering states alone cannot saturate the QCD sum rules, the contributions of the tetraquark states play an unsubstitutable role, and we can saturate the QCD sum rules with or without the two-meson scattering states." } ], "imprints": [ { "date": "2021-12-20", "publisher": "Hindawi" } ] }