C. Alexandrou, S. Bacchio, J. Finkenrath, C. Iona, G. Koutsou, Y. Li, G. Spanoudes
{"title":"Nucleon charges and σ -terms in lattice QCD","authors":"C. Alexandrou, S. Bacchio, J. Finkenrath, C. Iona, G. Koutsou, Y. Li, G. Spanoudes","doi":"10.1103/physrevd.111.054505","DOIUrl":null,"url":null,"abstract":"We determine the nucleon axial, scalar, and tensor charges and the nucleon σ</a:mi></a:math>-terms using twisted mass fermions. We employ three ensembles with approximately equal physical volume of about 5.5 fm, three values of the lattice spacing, approximately 0.06, 0.07, and 0.08 fm, and with the mass of the degenerate up and down, strange and charm quarks tuned to approximately their physical values. We compute both isovector and isoscalar charges and <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi>σ</c:mi></c:math>-terms and their flavor decomposition including the disconnected contributions. We use the Akaike information criterion to evaluate systematic errors due to excited states and the continuum extrapolation. For the nucleon isovector axial charge we find <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msubsup><e:mi>g</e:mi><e:mi>A</e:mi><e:mrow><e:mi>u</e:mi><e:mo>−</e:mo><e:mi>d</e:mi></e:mrow></e:msubsup><e:mo>=</e:mo><e:mn>1.250</e:mn><e:mo stretchy=\"false\">(</e:mo><e:mn>24</e:mn><e:mo stretchy=\"false\">)</e:mo></e:math>, in agreement with the experimental value. Moreover, we extract the nucleon <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:mi>σ</i:mi></i:math>-terms and find for the light quark content <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:msub><k:mi>σ</k:mi><k:mrow><k:mi>π</k:mi><k:mi>N</k:mi></k:mrow></k:msub><k:mo>=</k:mo><k:mn>41.9</k:mn><k:mo stretchy=\"false\">(</k:mo><k:mn>8.1</k:mn><k:mo stretchy=\"false\">)</k:mo><k:mtext> </k:mtext><k:mtext> </k:mtext><k:mi>MeV</k:mi></k:math> and for the strange <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:msub><o:mi>σ</o:mi><o:mi>s</o:mi></o:msub><o:mo>=</o:mo><o:mn>30</o:mn><o:mo stretchy=\"false\">(</o:mo><o:mn>17</o:mn><o:mo stretchy=\"false\">)</o:mo><o:mtext> </o:mtext><o:mtext> </o:mtext><o:mi>MeV</o:mi></o:math>. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"23 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.054505","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We determine the nucleon axial, scalar, and tensor charges and the nucleon σ-terms using twisted mass fermions. We employ three ensembles with approximately equal physical volume of about 5.5 fm, three values of the lattice spacing, approximately 0.06, 0.07, and 0.08 fm, and with the mass of the degenerate up and down, strange and charm quarks tuned to approximately their physical values. We compute both isovector and isoscalar charges and σ-terms and their flavor decomposition including the disconnected contributions. We use the Akaike information criterion to evaluate systematic errors due to excited states and the continuum extrapolation. For the nucleon isovector axial charge we find gAu−d=1.250(24), in agreement with the experimental value. Moreover, we extract the nucleon σ-terms and find for the light quark content σπN=41.9(8.1)MeV and for the strange σs=30(17)MeV. Published by the American Physical Society2025
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