Inspired by the recent observation of exotic resonances , , , , and reported by several experiment collaborations, we investigated the four-quark system with quantum numbers and in the framework of the chiral quark model. Two configurations, diquark-antidiquark and meson-meson, with all possible color structures are considered. The results show that no molecular state can be formed, but the resonance may exist if the color structure of the meson-meson configuration is . In the present calculation, the can be assigned as the tetraquark states with , but the energy of is too low to be regarded as the tetraquark state. can be a good candidate of the compact tetraquark state with . When the radial excitation is taken into account, the can be explained as the radial excited tetraquark state with . As for , there is no matching state in our calculation.
{ "_oai": { "updated": "2021-08-28T15:45:54Z", "id": "oai:repo.scoap3.org:47467", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Yifan Yang", "affiliations": [ { "country": "China", "value": "Department of Physics and Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, People\u2019s Republic of China" } ], "surname": "Yang", "given_names": "Yifan", "full_name": "Yang, Yifan" }, { "raw_name": "Jialun Ping", "affiliations": [ { "country": "China", "value": "Department of Physics and Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, People\u2019s Republic of China" } ], "surname": "Ping", "given_names": "Jialun", "full_name": "Ping, Jialun" } ], "titles": [ { "source": "APS", "title": "Investigation of <math><mi>c</mi><mi>s</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark in the chiral quark model" } ], "dois": [ { "value": "10.1103/PhysRevD.99.094032" } ], "publication_info": [ { "journal_volume": "99", "journal_title": "Physical Review D", "material": "article", "journal_issue": "9", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-08-25T10:37:11.112957", "source": "APS", "method": "APS", "submission_number": "810b323c058f11ecb53772fd3742099d" }, "page_nr": [ 7 ], "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": "47467", "record_creation_date": "2019-05-23T16:30:03.109557", "_files": [ { "checksum": "md5:6727ce284a155939a53e62040246d07f", "filetype": "pdf", "bucket": "b9daf58d-3dcc-409f-9944-859e5b53a9e5", "version_id": "e6a1bda8-9c86-4e1e-81d2-8e6f8557a65e", "key": "10.1103/PhysRevD.99.094032.pdf", "size": 252973 }, { "checksum": "md5:f5b89163b074a2b126fe7c7000c24bbe", "filetype": "xml", "bucket": "b9daf58d-3dcc-409f-9944-859e5b53a9e5", "version_id": "4a202c6e-74bc-469e-8341-3cf6f36d8f66", "key": "10.1103/PhysRevD.99.094032.xml", "size": 201190 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph" ], "value": "1903.08505" } ], "abstracts": [ { "source": "APS", "value": "Inspired by the recent observation of exotic resonances <math><mi>X</mi><mo>(</mo><mn>4140</mn><mo>)</mo></math>, <math><mi>X</mi><mo>(</mo><mn>4274</mn><mo>)</mo></math>, <math><mi>X</mi><mo>(</mo><mn>4350</mn><mo>)</mo></math>, <math><mi>X</mi><mo>(</mo><mn>4500</mn><mo>)</mo></math>, and <math><mi>X</mi><mo>(</mo><mn>4700</mn><mo>)</mo></math> reported by several experiment collaborations, we investigated the four-quark system <math><mi>c</mi><mi>s</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> with quantum numbers <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>1</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math> and <math><msup><mn>0</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math> in the framework of the chiral quark model. Two configurations, diquark-antidiquark and meson-meson, with all possible color structures are considered. The results show that no molecular state can be formed, but the resonance may exist if the color structure of the meson-meson configuration is <math><mn>8</mn><mo>\u2297</mo><mn>8</mn></math>. In the present calculation, the <math><mi>X</mi><mo>(</mo><mn>4274</mn><mo>)</mo></math> can be assigned as the <math><mi>c</mi><mi>s</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark states with <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>1</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math>, but the energy of <math><mi>X</mi><mo>(</mo><mn>4140</mn><mo>)</mo></math> is too low to be regarded as the tetraquark state. <math><mi>X</mi><mo>(</mo><mn>4350</mn><mo>)</mo></math> can be a good candidate of the compact tetraquark state with <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math>. When the radial excitation is taken into account, the <math><mi>X</mi><mo>(</mo><mn>4700</mn><mo>)</mo></math> can be explained as the <math><mn>2</mn><mi>S</mi></math> radial excited tetraquark state with <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math>. As for <math><mi>X</mi><mo>(</mo><mn>4500</mn><mo>)</mo></math>, there is no matching state in our calculation." } ], "imprints": [ { "date": "2019-05-23", "publisher": "APS" } ] }