In this note, we use local duality finite energy sum rule to test the validity of the Laplace sum rules results truncated at the dimension-six condensates for the estimates of the masses and couplings of the -like ground states in Albuquerque et al. [Phys. Rev. D 103, 074015 (2021)] by taking the example of the molecule configuration. We confirm the existence of an eventual radial excitation with a mass around 5700 MeV and coupling of 197(25) keV to the current which may mask the eventual radial excitation candidate [named in Albuquerque et al.] having a relatively small coupling . We add more explanations on the estimates in Albuquerque et al. from Laplace sum rules and comment on the results in Wang [arXiv:2202.06058; Commun. Theor. Phys. 63, 325 (2015)].
{ "_oai": { "updated": "2022-06-22T00:30:32Z", "id": "oai:repo.scoap3.org:70807", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "R.\u2009M. Albuquerque", "affiliations": [ { "country": "Brazil", "value": "Faculty of Technology, Rio de Janeiro State University (FAT, UERJ), 27537-000 Resende, Brazil" } ], "surname": "Albuquerque", "given_names": "R.\u2009M.", "full_name": "Albuquerque, R.\u2009M." }, { "raw_name": "S. Narison", "affiliations": [ { "country": "France", "value": "Laboratoire Univers et Particules de Montpellier (LUPM), CNRS-IN2P3 and University of Montpellier Case 070, Place Eug\u00e8ne Bataillon, Montpellier 34095, France and Institute of High-Energy Physics of Madagascar (iHEPMAD), University of Ankatso, Antananarivo 101, Madagascar" } ], "surname": "Narison", "given_names": "S.", "full_name": "Narison, S." }, { "raw_name": "D. Rabetiarivony", "affiliations": [ { "country": "Madagascar", "value": "Institute of High-Energy Physics of Madagascar (iHEPMAD), University of Ankatso, Antananarivo 101, Madagascar" } ], "surname": "Rabetiarivony", "given_names": "D.", "full_name": "Rabetiarivony, D." } ], "titles": [ { "source": "APS", "title": "Tests of the <math><msub><mi>Z</mi><mi>c</mi></msub></math>-like Laplace sum rule results using finite energy sum rule at NLO" } ], "dois": [ { "value": "10.1103/PhysRevD.105.114035" } ], "publication_info": [ { "journal_volume": "105", "journal_title": "Physical Review D", "material": "article", "journal_issue": "11", "year": 2022 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-06-22T00:30:24.700294", "source": "APS", "method": "APS", "submission_number": "7347e72ef1c211eca1a1661ec451a4e4" }, "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": "2022" } ], "control_number": "70807", "record_creation_date": "2022-06-21T16:30:04.588686", "_files": [ { "checksum": "md5:48e7deb9859dedaf68ca79a82b8358e6", "filetype": "pdf", "bucket": "a7b194c5-c4de-4af4-9dfc-833e13e4a06a", "version_id": "886b0b9a-da93-4bf6-be65-c672e3f2ae83", "key": "10.1103/PhysRevD.105.114035.pdf", "size": 604093 }, { "checksum": "md5:fec8e986fcb99e6afa3fcd1091567e37", "filetype": "xml", "bucket": "a7b194c5-c4de-4af4-9dfc-833e13e4a06a", "version_id": "c62fa6b2-bbb9-4361-9c97-7e825944cfbc", "key": "10.1103/PhysRevD.105.114035.xml", "size": 109094 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-ex", "hep-lat" ], "value": "2203.14224" } ], "abstracts": [ { "source": "APS", "value": "In this note, we use local duality finite energy sum rule to test the validity of the Laplace sum rules results truncated at the dimension-six condensates for the estimates of the masses and couplings of the <math><msub><mi>Z</mi><mi>c</mi></msub></math>-like ground states in Albuquerque et al. [Phys. Rev. D 103, 074015 (2021)] by taking the example of the <math><msup><mi>D</mi><mo>*</mo></msup><mi>D</mi></math> molecule configuration. We confirm the existence of an eventual <math><mo>(</mo><msup><mi>D</mi><mo>*</mo></msup><mi>D</mi><msub><mo>)</mo><mn>1</mn></msub></math> radial excitation with a mass around 5700 MeV and coupling of 197(25) keV to the current which may mask the eventual <math><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>4430</mn><mo>)</mo></math> radial excitation candidate [named <math><mo>(</mo><msup><mi>D</mi><mo>*</mo></msup><mi>D</mi><msub><mo>)</mo><mn>0</mn></msub></math> in Albuquerque et al.] having a relatively small coupling <math><msub><mi>f</mi><mrow><mo>(</mo><msup><mi>D</mi><mo>*</mo></msup><mi>D</mi><msub><mo>)</mo><mn>0</mn></msub></mrow></msub><mo>=</mo><mn>46</mn><mo>(</mo><mn>56</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>keV</mi></math>. We add more explanations on the estimates in Albuquerque et al. from Laplace sum rules and comment on the results in Wang [arXiv:2202.06058; Commun. Theor. Phys. 63, 325 (2015)]." } ], "imprints": [ { "date": "2022-06-21", "publisher": "APS" } ] }