Inspired by the resonance recently observed by the LHCb Collaboration, we systematically explore the - and -wave systems in a chiral SU(3) quark model. The Hamiltonian contains the kinetic energy, the one-gluon-exchange (OGE) potential, the confinement potential, and the one-boson-exchange (OBE) potential stemming from the coupling of quark and chiral fields. The Schrödinger equation is solved by use of the variational method with the spacial trial wave functions chosen as Gaussian functions. It is found that the lowest state has a mass 3879 MeV, isospin and spin-parity , and quark constituent , in agreement with the experimentally observed . This state is approximately at the calculated threshold and has a root-mean-square radius of about 0.48 fm. These demonstrate that the can be accommodated as a stable and compact tetraquark sate in the chiral SU(3) quark model. All the other - and -wave states lie about 100 to a few hundreds MeV higher than the corresponding meson-meson thresholds and thus are not suggested to be candidates of stable and compact tetraquark states due to their fall-apart decays to two mesons.
{ "_oai": { "updated": "2024-04-23T00:30:06Z", "id": "oai:repo.scoap3.org:84864", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Du Wang", "affiliations": [ { "country": "China", "value": "School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 101408, China" } ], "surname": "Wang", "given_names": "Du", "full_name": "Wang, Du" }, { "raw_name": "Ke-Rang Song", "affiliations": [ { "country": "China", "value": "School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 101408, China" } ], "surname": "Song", "given_names": "Ke-Rang", "full_name": "Song, Ke-Rang" }, { "raw_name": "Wen-Ling Wang", "affiliations": [ { "country": "China", "value": "School of Physics, Beihang University, Beijing 100191, China" } ], "surname": "Wang", "given_names": "Wen-Ling", "full_name": "Wang, Wen-Ling" }, { "raw_name": "Fei Huang", "affiliations": [ { "country": "China", "value": "School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 101408, China" } ], "surname": "Huang", "given_names": "Fei", "full_name": "Huang, Fei" } ], "titles": [ { "source": "APS", "title": "Spectrum of <math><mi>S</mi></math>- and <math><mi>P</mi></math>-wave <math><mi>c</mi><mi>c</mi><mover><mi>q</mi><mo>\u00af</mo></mover><msup><mover><mi>q</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup></math> <math><mo>(</mo><mover><mi>q</mi><mo>\u00af</mo></mover><mo>,</mo><msup><mover><mi>q</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><mo>=</mo><mover><mi>u</mi><mo>\u00af</mo></mover><mo>,</mo><mover><mi>d</mi><mo>\u00af</mo></mover><mo>,</mo><mover><mi>s</mi><mo>\u00af</mo></mover><mo>)</mo></math> systems in a chiral SU(3) quark model" } ], "dois": [ { "value": "10.1103/PhysRevD.109.074026" } ], "publication_info": [ { "journal_volume": "109", "journal_title": "Physical Review D", "material": "article", "journal_issue": "7", "year": 2024 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-04-23T00:30:02.373834", "source": "APS", "method": "APS", "submission_number": "9e6b50f6010811ef81c58e7301cc4a06" }, "page_nr": [ 10 ], "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": "84864", "record_creation_date": "2024-04-22T14:30:02.314026", "_files": [ { "checksum": "md5:e55988027a46178e08ca5e526a6d3243", "filetype": "pdf", "bucket": "06562a73-03c6-484d-9165-9c164d1ddc1a", "version_id": "f45f8c3c-b6b7-4969-abce-5df84a772430", "key": "10.1103/PhysRevD.109.074026.pdf", "size": 556421 }, { "checksum": "md5:561f281c25e06808e0b394d796c07781", "filetype": "xml", "bucket": "06562a73-03c6-484d-9165-9c164d1ddc1a", "version_id": "0d8e0b39-2aa9-48f4-9dd4-6909c13621b9", "key": "10.1103/PhysRevD.109.074026.xml", "size": 349728 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "nucl-th" ], "value": "2403.15187" } ], "abstracts": [ { "source": "APS", "value": "Inspired by the resonance <math><msubsup><mi>T</mi><mrow><mi>c</mi><mi>c</mi></mrow><mo>+</mo></msubsup><mo>(</mo><mn>3875</mn><mo>)</mo></math> recently observed by the LHCb Collaboration, we systematically explore the <math><mi>S</mi></math>- and <math><mi>P</mi></math>-wave <math><mi>c</mi><mi>c</mi><mover><mi>q</mi><mo>\u00af</mo></mover><msup><mover><mi>q</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup></math> <math><mo>(</mo><mover><mi>q</mi><mo>\u00af</mo></mover><mo>,</mo><msup><mover><mi>q</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><mo>=</mo><mover><mi>u</mi><mo>\u00af</mo></mover><mo>,</mo><mover><mi>d</mi><mo>\u00af</mo></mover><mo>,</mo><mover><mi>s</mi><mo>\u00af</mo></mover><mo>)</mo></math> systems in a chiral SU(3) quark model. The Hamiltonian contains the kinetic energy, the one-gluon-exchange (OGE) potential, the confinement potential, and the one-boson-exchange (OBE) potential stemming from the coupling of quark and chiral fields. The Schr\u00f6dinger equation is solved by use of the variational method with the spacial trial wave functions chosen as Gaussian functions. It is found that the lowest state has a mass 3879 MeV, isospin and spin-parity <math><mi>I</mi><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><mn>0</mn><msup><mn>1</mn><mo>+</mo></msup></math>, and quark constituent <math><mi>c</mi><mi>c</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math>, in agreement with the experimentally observed <math><msubsup><mi>T</mi><mrow><mi>c</mi><mi>c</mi></mrow><mo>+</mo></msubsup><mo>(</mo><mn>3875</mn><mo>)</mo></math>. This state is approximately at the calculated <math><mi>D</mi><msup><mi>D</mi><mo>*</mo></msup></math> threshold and has a root-mean-square radius of about 0.48 fm. These demonstrate that the <math><msubsup><mi>T</mi><mrow><mi>c</mi><mi>c</mi></mrow><mo>+</mo></msubsup><mo>(</mo><mn>3875</mn><mo>)</mo></math> can be accommodated as a stable and compact tetraquark sate in the chiral SU(3) quark model. All the other <math><mi>S</mi></math>- and <math><mi>P</mi></math>-wave <math><mi>c</mi><mi>c</mi><mover><mi>q</mi><mo>\u00af</mo></mover><msup><mover><mi>q</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup></math> <math><mo>(</mo><mover><mi>q</mi><mo>\u00af</mo></mover><mo>,</mo><msup><mover><mi>q</mi><mo>\u00af</mo></mover><mo>\u2032</mo></msup><mo>=</mo><mover><mi>u</mi><mo>\u00af</mo></mover><mo>,</mo><mover><mi>d</mi><mo>\u00af</mo></mover><mo>,</mo><mover><mi>s</mi><mo>\u00af</mo></mover><mo>)</mo></math> states lie about 100 to a few hundreds MeV higher than the corresponding meson-meson thresholds and thus are not suggested to be candidates of stable and compact tetraquark states due to their fall-apart decays to two mesons." } ], "imprints": [ { "date": "2024-04-22", "publisher": "APS" } ] }