Nucleon tensor form factors at large <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>N</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>

We investigate nucleon tensor form factors in the large-<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>N</a:mi><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.