observed by the LHCb collaboration is confirmed as a pentaquark and its structure, production, and decay behaviors attract great attention from theorists and experimentalists. Since its mass is very close to sum of and masses, it is naturally tempted to be considered as a molecular state composed of and . Moreover, is observed in the channel with final state, requiring that isospin conservation is an isospin- eigenstate. In the literature, several groups used various models to estimate its spectrum. We systematically study the pentaquarks within the framework of the Bethe-Salpeter equation; thus is an excellent target because of the available data. We calculate the spectrum of in terms of the Bethe-Salpter equations and further study its decay modes. Some predictions on other possible pentaquark states that can be tested in future experiments are made.
{ "_oai": { "updated": "2021-08-29T02:31:25Z", "id": "oai:repo.scoap3.org:52324", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Hong-Wei Ke", "affiliations": [ { "country": "China", "value": "School of Science, Tianjin University, Tianjin 300072, China" } ], "surname": "Ke", "given_names": "Hong-Wei", "full_name": "Ke, Hong-Wei" }, { "raw_name": "Mei Li", "affiliations": [ { "country": "China", "value": "School of Science, Tianjin University, Tianjin 300072, China" } ], "surname": "Li", "given_names": "Mei", "full_name": "Li, Mei" }, { "raw_name": "Xiao-Hai Liu", "affiliations": [ { "country": "China", "value": "School of Science, Tianjin University, Tianjin 300072, China" } ], "surname": "Liu", "given_names": "Xiao-Hai", "full_name": "Liu, Xiao-Hai" }, { "raw_name": "Xue-Qian Li", "affiliations": [ { "country": "China", "value": "School of Physics, Nankai University, Tianjin 300071, China" } ], "surname": "Li", "given_names": "Xue-Qian", "full_name": "Li, Xue-Qian" } ], "titles": [ { "source": "APS", "title": "Study on possible molecular states composed of <math><mrow><msub><mrow><mi>\u039b</mi></mrow><mrow><mi>c</mi></mrow></msub><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> (<math><mrow><msub><mrow><mi>\u039b</mi></mrow><mrow><mi>b</mi></mrow></msub><mi>B</mi></mrow></math>) and <math><mrow><msub><mrow><mi>\u03a3</mi></mrow><mrow><mi>c</mi></mrow></msub><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> (<math><mrow><msub><mrow><mi>\u03a3</mi></mrow><mrow><mi>b</mi></mrow></msub><mi>B</mi></mrow></math>) within the Bethe-Salpeter framework" } ], "dois": [ { "value": "10.1103/PhysRevD.101.014024" } ], "publication_info": [ { "journal_volume": "101", "journal_title": "Physical Review D", "material": "article", "journal_issue": "1", "year": 2020 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-08-25T10:40:02.258572", "source": "APS", "method": "APS", "submission_number": "810b323c058f11ecb53772fd3742099d" }, "page_nr": [ 14 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2020" } ], "control_number": "52324", "record_creation_date": "2020-01-27T17:30:05.836688", "_files": [ { "checksum": "md5:f4574226ac4954160e2d327b225f4772", "filetype": "pdf", "bucket": "6fb9e228-f89b-4038-bfc1-98e9dfcfc6e0", "version_id": "02744f4f-e31e-4f4e-96d5-88c6f4e803bd", "key": "10.1103/PhysRevD.101.014024.pdf", "size": 366731 }, { "checksum": "md5:72a4f10c9e3ed91d0855e7d0c99cda72", "filetype": "xml", "bucket": "6fb9e228-f89b-4038-bfc1-98e9dfcfc6e0", "version_id": "a350475c-5635-4b93-b37c-6eb8b62d3389", "key": "10.1103/PhysRevD.101.014024.xml", "size": 533019 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-ex" ], "value": "1909.12509" } ], "abstracts": [ { "source": "APS", "value": "<math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> observed by the LHCb collaboration is confirmed as a pentaquark and its structure, production, and decay behaviors attract great attention from theorists and experimentalists. Since its mass is very close to sum of <math><msub><mi>\u03a3</mi><mi>c</mi></msub></math> and <math><mover><mi>D</mi><mo>\u00af</mo></mover></math> masses, it is naturally tempted to be considered as a molecular state composed of <math><msub><mi>\u03a3</mi><mi>c</mi></msub></math> and <math><mover><mi>D</mi><mo>\u00af</mo></mover></math>. Moreover, <math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> is observed in the channel with <math><mi>J</mi><mo>/</mo><mi>\u03c8</mi><mi>p</mi></math> final state, requiring that isospin conservation <math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> is an isospin-<math><mn>1</mn><mo>/</mo><mn>2</mn></math> eigenstate. In the literature, several groups used various models to estimate its spectrum. We systematically study the pentaquarks within the framework of the Bethe-Salpeter equation; thus <math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> is an excellent target because of the available data. We calculate the spectrum of <math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> in terms of the Bethe-Salpter equations and further study its decay modes. Some predictions on other possible pentaquark states that can be tested in future experiments are made." } ], "imprints": [ { "date": "2020-01-27", "publisher": "APS" } ] }