We use the Laplace/Borel sum rules (LSR) and the finite energy/local duality sum rules (FESR) to investigate the nonstrange and hidden-strange tetraquark states with exotic quantum numbers . We systematically construct all eight possible tetraquark currents in this channel without a covariant derivative operator. Our analyses show that the systems have good behavior of sum rule stability and expansion series convergence in both the LSR and FESR analyses, while the LSR for the states do not associate with convergent OPE series in the stability regions and only the FESR can provide valid results. We give the mass predictions and for the and tetraquark states, respectively. Our results indicate that the isovector tetraquark may only decay via weak interaction mechanism, e.g., , since its strong decays are forbidden by kinematics and the symmetry constraints on the exotic quantum numbers. It is predicted to be very narrow, if it does exist. The isoscalar tetraquark is also predicted to be not very wide because its dominate decay mode is in wave.
{ "_oai": { "updated": "2022-03-04T10:37:28Z", "id": "oai:repo.scoap3.org:45008", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Yi-Chao Fu", "affiliations": [ { "country": "China", "value": "School of Physics, Sun Yat-Sen University, Guangzhou 510275, China" } ], "surname": "Fu", "given_names": "Yi-Chao", "full_name": "Fu, Yi-Chao" }, { "raw_name": "Zhuo-Ran Huang", "affiliations": [ { "country": "China", "value": "Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China" } ], "surname": "Huang", "given_names": "Zhuo-Ran", "full_name": "Huang, Zhuo-Ran" }, { "raw_name": "Zhu-Feng Zhang", "affiliations": [ { "country": "China", "value": "Physics Department, Ningbo University, Ningbo, 315211, China" } ], "surname": "Zhang", "given_names": "Zhu-Feng", "full_name": "Zhang, Zhu-Feng" }, { "raw_name": "Wei Chen", "affiliations": [ { "country": "China", "value": "School of Physics, Sun Yat-Sen University, Guangzhou 510275, China" } ], "surname": "Chen", "given_names": "Wei", "full_name": "Chen, Wei" } ], "titles": [ { "source": "APS", "title": "Exotic tetraquark states 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>\u2212</mo></mrow></msup></math>" } ], "dois": [ { "value": "10.1103/PhysRevD.99.014025" } ], "publication_info": [ { "journal_volume": "99", "journal_title": "Physical Review D", "material": "article", "journal_issue": "1", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2020-06-29T15:35:27.527034", "source": "APS", "method": "APS", "submission_number": "bca49440b8c511eaad8602163e01809a" }, "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": "2019" } ], "control_number": "45008", "record_creation_date": "2019-01-16T15:45:06.322641", "_files": [ { "checksum": "md5:31ac4c886de4229cb390c11bca9a1b61", "filetype": "pdf", "bucket": "67f6a4d0-9d71-44bf-acb7-f46eda84ea0c", "version_id": "afc4526f-9104-4702-878d-aa849de8a85e", "key": "10.1103/PhysRevD.99.014025.pdf", "size": 423628 }, { "checksum": "md5:7fde6512ef4fa4232fdaba47e1cd2092", "filetype": "xml", "bucket": "67f6a4d0-9d71-44bf-acb7-f46eda84ea0c", "version_id": "38c36ce0-5d3c-4ca5-811b-704b1eab75ab", "key": "10.1103/PhysRevD.99.014025.xml", "size": 342248 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-ex", "hep-lat" ], "value": "1811.03333" } ], "abstracts": [ { "source": "APS", "value": "We use the Laplace/Borel sum rules (LSR) and the finite energy/local duality sum rules (FESR) to investigate the nonstrange <math><mi>u</mi><mi>d</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> and hidden-strange <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark states with exotic quantum numbers <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>+</mo><mo>\u2212</mo></mrow></msup></math>. We systematically construct all eight possible tetraquark currents in this channel without a covariant derivative operator. Our analyses show that the <math><mi>u</mi><mi>d</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> systems have good behavior of sum rule stability and expansion series convergence in both the LSR and FESR analyses, while the LSR for the <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> states do not associate with convergent OPE series in the stability regions and only the FESR can provide valid results. We give the mass predictions <math><mn>1.43</mn><mo>\u00b1</mo><mn>0.09</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> and <math><mn>1.54</mn><mo>\u00b1</mo><mn>0.12</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> for the <math><mi>u</mi><mi>d</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> and <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark states, respectively. Our results indicate that the <math><msup><mn>0</mn><mrow><mo>+</mo><mo>\u2212</mo></mrow></msup></math> isovector <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark may only decay via weak interaction mechanism, e.g., <math><msub><mi>X</mi><mrow><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></mrow></msub><mo>\u2192</mo><mi>K</mi><mi>\u03c0</mi><mi>\u03c0</mi></math>, since its strong decays are forbidden by kinematics and the symmetry constraints on the exotic quantum numbers. It is predicted to be very narrow, if it does exist. The <math><msup><mn>0</mn><mrow><mo>+</mo><mo>\u2212</mo></mrow></msup></math> isoscalar <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark is also predicted to be not very wide because its dominate decay mode <math><msub><mi>X</mi><mrow><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></mrow></msub><mo>\u2192</mo><mi>\u03d5</mi><mi>\u03c0</mi><mi>\u03c0</mi></math> is in <math><mi>P</mi></math> wave." } ], "imprints": [ { "date": "2019-01-16", "publisher": "APS" } ] }