We apply the formalism of P. Colangelo et al. [Phys. Rev. D 86, 054024 (2012)] to discuss the quantum number assignments for the recently observed state by R. Aaij et al. (LHCb Collaboration) [J. High Energy Phys. 04 (2015) 024], and we classify the six possible ’s for this state on the basis of the theoretically available masses. By analyzing the strong decay widths and the branching ratios for all six of these cases of , we justify one of them to be the most favorable assignment. We also examine the recently observed bottom state as and states and with their strange partners and for their ’s as and , respectively. The predicted coupling constants , , and help in redeeming the strong decay width of experimentally missing bottom states , , , , , and . These predictions provide crucial information for upcoming experimental studies.
{ "_oai": { "updated": "2021-08-28T16:13:57Z", "id": "oai:repo.scoap3.org:47635", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Pallavi Gupta", "affiliations": [ { "country": "India", "value": "School of Physics and Materials Science, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, India" } ], "surname": "Gupta", "given_names": "Pallavi", "full_name": "Gupta, Pallavi" }, { "raw_name": "A. Upadhyay", "affiliations": [ { "country": "India", "value": "School of Physics and Materials Science, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, India" } ], "surname": "Upadhyay", "given_names": "A.", "full_name": "Upadhyay, A." } ], "titles": [ { "source": "APS", "title": "Placing the newly observed state <math><mrow><msub><mrow><mi>B</mi></mrow><mrow><mi>J</mi></mrow></msub><mo>(</mo><mn>5840</mn><mo>)</mo></mrow></math> in bottom spectra along with states <math><mrow><msub><mrow><mi>B</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mn>5721</mn><mo>)</mo></mrow></math>, <math><msubsup><mi>B</mi><mn>2</mn><mo>*</mo></msubsup><mo>(</mo><mn>5747</mn><mo>)</mo></math>, <math><msub><mi>B</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo>(</mo><mn>5830</mn><mo>)</mo></math>, <math><msubsup><mi>B</mi><mrow><mn>2</mn><mi>s</mi></mrow><mo>*</mo></msubsup><mo>(</mo><mn>5840</mn><mo>)</mo></math>, and <math><msub><mi>B</mi><mi>J</mi></msub><mo>(</mo><mn>5970</mn><mo>)</mo></math>" } ], "dois": [ { "value": "10.1103/PhysRevD.99.094043" } ], "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": "2021-08-25T10:37:19.118669", "source": "APS", "method": "APS", "submission_number": "810b323c058f11ecb53772fd3742099d" }, "page_nr": [ 11 ], "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": "47635", "record_creation_date": "2019-05-31T16:30:06.421854", "_files": [ { "checksum": "md5:f67207c93ce9716710135285e58cfdef", "filetype": "pdf", "bucket": "73134209-7b64-48ee-aff6-65ccb07e87d6", "version_id": "fed8a16f-0c25-42e6-98bc-270ff5a0d22c", "key": "10.1103/PhysRevD.99.094043.pdf", "size": 272593 }, { "checksum": "md5:a83e5dad255ec3f647a3c2511767ecd8", "filetype": "xml", "bucket": "73134209-7b64-48ee-aff6-65ccb07e87d6", "version_id": "e7991243-378a-4c90-b58f-13e72aebdac3", "key": "10.1103/PhysRevD.99.094043.xml", "size": 342198 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph" ], "value": "1803.03136" } ], "abstracts": [ { "source": "APS", "value": "We apply the formalism of P. Colangelo et al. [Phys. Rev. D 86, 054024 (2012)] to discuss the quantum number assignments for the recently observed <math><msub><mi>B</mi><mi>J</mi></msub><mo>(</mo><mn>5840</mn><mo>)</mo></math> state by R. Aaij et al. (LHCb Collaboration) [J. High Energy Phys. 04 (2015) 024], and we classify the six possible <math><msup><mi>J</mi><mi>P</mi></msup></math>\u2019s for this state on the basis of the theoretically available masses. By analyzing the strong decay widths and the branching ratios for all six of these cases of <math><msub><mi>B</mi><mi>J</mi></msub><mo>(</mo><mn>5840</mn><mo>)</mo></math>, we justify one of them to be the most favorable assignment. We also examine the recently observed bottom state <math><msub><mi>B</mi><mi>J</mi></msub><mo>(</mo><mn>5970</mn><mo>)</mo></math> as <math><mn>2</mn><mi>S</mi><msup><mn>1</mn><mo>\u2212</mo></msup></math> and states <math><msub><mi>B</mi><mi>J</mi></msub><mo>(</mo><mn>5721</mn><mo>)</mo></math> and <math><msubsup><mi>B</mi><mn>2</mn><mo>*</mo></msubsup><mo>(</mo><mn>5747</mn><mo>)</mo></math> with their strange partners <math><msub><mi>B</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo>(</mo><mn>5830</mn><mo>)</mo></math> and <math><msubsup><mi>B</mi><mrow><mn>2</mn><mi>s</mi></mrow><mo>*</mo></msubsup><mo>(</mo><mn>5840</mn><mo>)</mo></math> for their <math><msup><mi>J</mi><mi>P</mi></msup></math>\u2019s as <math><mrow><mn>1</mn><msub><mrow><mi>P</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub><msup><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msup></mrow></math> and <math><mn>1</mn><msub><mi>P</mi><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub><msup><mn>2</mn><mo>+</mo></msup></math>, respectively. The predicted coupling constants <math><msub><mi>g</mi><mrow><mi>X</mi><mi>H</mi></mrow></msub></math>, <math><msub><mover><mi>g</mi><mo>\u02dc</mo></mover><mrow><mi>H</mi><mi>H</mi></mrow></msub></math>, and <math><msub><mi>g</mi><mrow><mi>T</mi><mi>H</mi></mrow></msub></math> help in redeeming the strong decay width of experimentally missing bottom states <math><mrow><mi>B</mi><mo>(</mo><mn>2</mn><msub><mrow><mmultiscripts><mrow><mi>S</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>1</mn></mrow></mmultiscripts></mrow><mrow><mn>0</mn></mrow></msub><mo>)</mo></mrow></math>, <math><mrow><msub><mrow><mi>B</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>(</mo><mn>2</mn><msub><mrow><mmultiscripts><mrow><mi>S</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>3</mn></mrow></mmultiscripts></mrow><mrow><mn>1</mn></mrow></msub><mo>)</mo></mrow></math>, <math><mrow><msub><mrow><mi>B</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>(</mo><mn>2</mn><msub><mrow><mmultiscripts><mrow><mi>S</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>1</mn></mrow></mmultiscripts></mrow><mrow><mn>0</mn></mrow></msub><mo>)</mo></mrow></math>, <math><mrow><mi>B</mi><mo>(</mo><mn>1</mn><msub><mrow><mmultiscripts><mrow><mi>D</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>1</mn></mrow></mmultiscripts></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></mrow></math>, <math><msub><mi>B</mi><mi>s</mi></msub><mo>(</mo><mn>1</mn><msub><mmultiscripts><mrow><mi>D</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>3</mn></mrow></mmultiscripts><mn>1</mn></msub><mo>)</mo></math>, and <math><msub><mi>B</mi><mi>s</mi></msub><mo>(</mo><mn>1</mn><msub><mmultiscripts><mrow><mi>D</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>1</mn></mrow></mmultiscripts><mn>2</mn></msub><mo>)</mo></math>. These predictions provide crucial information for upcoming experimental studies." } ], "imprints": [ { "date": "2019-05-31", "publisher": "APS" } ] }