We calculate the intrinsic quark spin contribution to the total proton spin using overlap valence quarks on three ensembles of -flavor RBC/UKQCD domain-wall configurations with different lattice spacings. The lowest pion mass of the ensembles is around 171 MeV, which is close to the physical point. With overlap fermions and a topological charge derived from the overlap operator, we verify the anomalous Ward identity between nucleon states with momentum transfer. Both the connected and the disconnected insertions of the axial-vector current are calculated. For the disconnected-insertion part, the cluster-decomposition error reduction technique is utilized for the lattice with the largest volume and the error can be reduced by 10%–40%. Nonperturbative renormalization is carried out and the final results are all reported in the scheme at 2 GeV. We determine the total quark spin contribution to the nucleon spin to be , which is consistent with the recent global fitting result of experimental data. The isovector axial coupling we obtain in this study is , which agrees well with the experimental value of 1.2723(23).
{ "_oai": { "updated": "2022-03-04T10:52:04Z", "id": "oai:repo.scoap3.org:43009", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Jian Liang", "affiliations": [ { "country": "USA", "value": "Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA" } ], "surname": "Liang", "given_names": "Jian", "full_name": "Liang, Jian" }, { "raw_name": "Yi-Bo Yang", "affiliations": [ { "country": "USA", "value": "Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA" } ], "surname": "Yang", "given_names": "Yi-Bo", "full_name": "Yang, Yi-Bo" }, { "raw_name": "Terrence Draper", "affiliations": [ { "country": "USA", "value": "Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA" } ], "surname": "Draper", "given_names": "Terrence", "full_name": "Draper, Terrence" }, { "raw_name": "Ming Gong", "affiliations": [ { "country": "China", "value": "Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China" } ], "surname": "Gong", "given_names": "Ming", "full_name": "Gong, Ming" }, { "raw_name": "Keh-Fei Liu", "affiliations": [ { "country": "USA", "value": "Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA" } ], "surname": "Liu", "given_names": "Keh-Fei", "full_name": "Liu, Keh-Fei" } ], "titles": [ { "source": "APS", "title": "Quark spins and anomalous Ward identity" } ], "dois": [ { "value": "10.1103/PhysRevD.98.074505" } ], "publication_info": [ { "journal_volume": "98", "journal_title": "Physical Review D", "material": "article", "journal_issue": "7", "year": 2018 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2020-06-29T15:30:24.770514", "source": "APS", "method": "APS", "submission_number": "bca49440b8c511eaad8602163e01809a" }, "page_nr": [ 20 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2018" } ], "control_number": "43009", "collaborations": [ { "value": "\u03c7QCD Collaboration" } ], "_files": [ { "checksum": "md5:2f4b42602d9a478f4869a068775f4754", "filetype": "pdf", "bucket": "5a8d63f7-8dce-4938-ab08-3f9c0888edea", "version_id": "54218b46-ecb1-4d0b-98dc-1a8dba2a6e2f", "key": "10.1103/PhysRevD.98.074505.pdf", "size": 1036164 }, { "checksum": "md5:e436ad9c24c3394176ec183e74564497", "filetype": "xml", "bucket": "5a8d63f7-8dce-4938-ab08-3f9c0888edea", "version_id": "6000e63a-a326-4cb5-a80b-f154b45a09b5", "key": "10.1103/PhysRevD.98.074505.xml", "size": 364507 } ], "record_creation_date": "2018-10-09T17:30:20.235710", "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-lat" ], "value": "1806.08366" } ], "abstracts": [ { "source": "APS", "value": "We calculate the intrinsic quark spin contribution to the total proton spin using overlap valence quarks on three ensembles of <math><mn>2</mn><mo>+</mo><mn>1</mn></math>-flavor RBC/UKQCD domain-wall configurations with different lattice spacings. The lowest pion mass of the ensembles is around 171 MeV, which is close to the physical point. With overlap fermions and a topological charge derived from the overlap operator, we verify the anomalous Ward identity between nucleon states with momentum transfer. Both the connected and the disconnected insertions of the axial-vector current are calculated. For the disconnected-insertion part, the cluster-decomposition error reduction technique is utilized for the lattice with the largest volume and the error can be reduced by 10%\u201340%. Nonperturbative renormalization is carried out and the final results are all reported in the <math><mrow><mover><mrow><mi>MS</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> scheme at 2 GeV. We determine the total quark spin contribution to the nucleon spin to be <math><mrow><mi>\u0394</mi><mi>\u03a3</mi><mo>=</mo><mn>0.405</mn><mo>(</mo><mn>25</mn><mo>)</mo><mo>(</mo><mn>37</mn><mo>)</mo></mrow></math>, which is consistent with the recent global fitting result of experimental data. The isovector axial coupling we obtain in this study is <math><mrow><msubsup><mrow><mi>g</mi></mrow><mrow><mi>A</mi></mrow><mrow><mn>3</mn></mrow></msubsup><mo>=</mo><mn>1.254</mn><mo>(</mo><mn>16</mn><mo>)</mo><mo>(</mo><mn>30</mn><mo>)</mo></mrow></math>, which agrees well with the experimental value of 1.2723(23)." } ], "imprints": [ { "date": "2018-10-09", "publisher": "APS" } ] }