We study the two-body charmed nonleptonic weak decays of the bottom meson to an axial-vector meson and a pseudoscalar meson using the non-relativistic quark model. We employ the factorization hypothesis to obtain the branching ratios of these decays. First, we calculate the axial-vector () emitting form factors for transitions in the non-relativistic Isgur-Scora-Grinstein-Wise quark model. Later, we use the heavy quark symmetry constraints to obtain the form factors and consequently, calculated their branching ratios. For a comparative analysis, we extract and form factors from the recent lattice QCD results to get a qualitative estimate of form factors. We find that the calculated branching ratios are in fair agreement with the available experimental data in both the scenarios. Also, we observe that, despite of suppression in heavy quark limit, the color-suppressed contribution to these decays can not be ignored.
{ "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author(s)", "statement": "The Author(s)", "year": "2019" } ], "control_number": "48894", "_oai": { "updated": "2019-08-26T18:47:26Z", "id": "oai:repo.scoap3.org:48894", "sets": [ "NPB" ] }, "authors": [ { "affiliations": [ { "country": "India", "value": "SRM Research Institute, SRM Institute of Science and Technology, Kattankulathur, India" } ], "surname": "Sharma", "email": "nishu.vats@gmail.com", "full_name": "Sharma, Neelesh", "given_names": "Neelesh" }, { "affiliations": [ { "country": "India", "value": "Department of Physics and Nanotechnology, SRM Institute of Science and Technology, Kattankulathur, India" } ], "surname": "Dhir", "email": "dhir.rohit@gmail.com", "full_name": "Dhir, Rohit", "given_names": "Rohit" } ], "_files": [ { "checksum": "md5:cd48a7596d5f322735398bd896c2a0cc", "filetype": "xml", "bucket": "530d8e3e-0f07-479a-8958-011a4b27ec78", "version_id": "be52ba79-e0aa-4b65-9a7c-c451ab8de9ea", "key": "10.1016/j.nuclphysb.2019.114718.xml", "size": 615336 }, { "checksum": "md5:4985f4e43e89c7c61363422af3ba6182", "filetype": "pdf", "bucket": "530d8e3e-0f07-479a-8958-011a4b27ec78", "version_id": "f7c73271-be0a-4b89-b4c4-a98bf456f7c6", "key": "10.1016/j.nuclphysb.2019.114718.pdf", "size": 1289139 }, { "checksum": "md5:cef80e2dbb0ff4b467a2f13a2b943ca5", "filetype": "pdf/a", "bucket": "530d8e3e-0f07-479a-8958-011a4b27ec78", "version_id": "3937dc7a-0f4b-42c2-b35f-f894d689135e", "key": "10.1016/j.nuclphysb.2019.114718_a.pdf", "size": 1607699 } ], "record_creation_date": "2019-07-31T12:34:50.096974", "titles": [ { "source": "Elsevier", "title": "A study of \u0394 = 1 Decays of Bottom Mesons Involving Axial-vector Meson" } ], "collections": [ { "primary": "Nuclear Physics B" } ], "dois": [ { "value": "10.1016/j.nuclphysb.2019.114718" } ], "publication_info": [ { "journal_volume": "946 C", "journal_title": "Nuclear Physics B", "material": "article", "artid": "114718", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Elsevier", "value": "We study the two-body charmed nonleptonic weak decays of the bottom meson to an axial-vector meson and a pseudoscalar meson using the non-relativistic quark model. We employ the factorization hypothesis to obtain the branching ratios of these decays. First, we calculate the axial-vector (<math><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi></mrow></msup><mo>=</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msup></math>) emitting form factors for <math><mi>B</mi><mo>\u2192</mo><msub><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>/</mo><msub><mrow><munder><mrow><mi>D</mi></mrow><mo>_</mo></munder></mrow><mrow><mn>1</mn></mrow></msub></math> transitions in the non-relativistic Isgur-Scora-Grinstein-Wise quark model. Later, we use the heavy quark symmetry constraints to obtain the <math><mi>B</mi><mo>\u2192</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msubsup></math> form factors and consequently, calculated their branching ratios. For a comparative analysis, we extract <math><msub><mrow><mi>\u03c4</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>(</mo><mi>\u03c9</mi><mo>)</mo></math> and <math><msub><mrow><mi>\u03c4</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>(</mo><mi>\u03c9</mi><mo>)</mo></math> form factors from the recent lattice QCD results to get a qualitative estimate of <math><mi>B</mi><mo>\u2192</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mn>1</mn></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msubsup></math> form factors. We find that the calculated branching ratios are in fair agreement with the available experimental data in both the scenarios. Also, we observe that, despite of <math><mn>1</mn><mo>/</mo><msub><mrow><mi>m</mi></mrow><mrow><mi>Q</mi></mrow></msub></math> suppression in heavy quark limit, the color-suppressed contribution to these decays can not be ignored." } ], "imprints": [ { "date": "2019-07-30", "publisher": "Elsevier" } ], "acquisition_source": { "date": "2019-08-26T20:31:29.566158", "source": "Elsevier", "method": "Elsevier", "submission_number": "83309678c82f11e9be7702163e01809a" } }