Nam-Yong Ghim, Ho-Yeon Won, June-Young Kim, Hyun-Chul Kim
{"title":"Nucleon tensor form factors at large Nc","authors":"Nam-Yong Ghim, Ho-Yeon Won, June-Young Kim, Hyun-Chul Kim","doi":"10.1103/physrevd.111.074024","DOIUrl":null,"url":null,"abstract":"We investigate nucleon tensor form factors in the large-N</a:mi>c</a:mi></a:msub></a:math> limit. In this picture, the nucleon emerges as a state of the <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msub><c:mi>N</c:mi><c:mi>c</c:mi></c:msub></c:math> valence quarks, which were bound by pion mean fields that were created by the presence of the valence quarks self-consistently. We find that the tensor charge (<e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msubsup><e:mi>g</e:mi><e:mi>T</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>0.99</e:mn></e:math>) and the anomalous tensor magnetic moment (<g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:msubsup><g:mi>κ</g:mi><g:mi>T</g:mi><g:mrow><g:mi>u</g:mi><g:mo>+</g:mo><g:mi>d</g:mi></g:mrow></g:msubsup><g:mo>=</g:mo><g:mn>7.61</g:mn></g:math>) are dominated by valence quarks, while the tensor quadrupole moment (<i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msubsup><i:mi>Q</i:mi><i:mi>T</i:mi><i:mrow><i:mi>u</i:mi><i:mo>−</i:mo><i:mi>d</i:mi></i:mrow></i:msubsup><i:mo>=</i:mo><i:mo>−</i:mo><i:mn>7.02</i:mn></i:math>) shows significant sea quark effects. We examine how these quantities vary as the average size of the pion mean field is changed, showing interpolation between nonrelativistic quark and Skyrme limits. We also observe that <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:msubsup><k:mi>g</k:mi><k:mi>T</k:mi><k:mrow><k:mi>u</k:mi><k:mo>−</k:mo><k:mi>d</k:mi></k:mrow></k:msubsup></k:math> and <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:msubsup><m:mi>κ</m:mi><m:mi>T</m:mi><m:mrow><m:mi>u</m:mi><m:mo>+</m:mo><m:mi>d</m:mi></m:mrow></m:msubsup></m:math> depend weakly on the pion mass. In contrast, <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:msubsup><o:mi>Q</o:mi><o:mi>T</o:mi><o:mrow><o:mi>u</o:mi><o:mo>−</o:mo><o:mi>d</o:mi></o:mrow></o:msubsup></o:math> exhibits strong enhancement near the chiral limit. The numerical results are in good agreement with available lattice quantum chromodynamics (QCD) data and provide predictions for unmeasured quantities. <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":"26 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-04-18","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.111.074024","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 investigate nucleon tensor form factors in the large-Nc limit. In this picture, the nucleon emerges as a state of the Nc valence quarks, which were bound by pion mean fields that were created by the presence of the valence quarks self-consistently. We find that the tensor charge (gTu−d=0.99) and the anomalous tensor magnetic moment (κTu+d=7.61) are dominated by valence quarks, while the tensor quadrupole moment (QTu−d=−7.02) shows significant sea quark effects. We examine how these quantities vary as the average size of the pion mean field is changed, showing interpolation between nonrelativistic quark and Skyrme limits. We also observe that gTu−d and κTu+d depend weakly on the pion mass. In contrast, QTu−d exhibits strong enhancement near the chiral limit. The numerical results are in good agreement with available lattice quantum chromodynamics (QCD) data and provide predictions for unmeasured quantities. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.