Chiral-odd GPDs in the bag model

This is the authors' abstract. We don't add key points for this paper.

A study of chiral-odd generalized parton distributions (GPDs) of the nucleon is presented in the bag model demonstrating that in this model all four chiral-odd GPDs are nonzero contrary to other claims in literature. The bag model results for the GPDs <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msubsup><a:mi>H</a:mi><a:mi>T</a:mi><a:mi>q</a:mi></a:msubsup><a:mo stretchy="false">(</a:mo><a:mi>x</a:mi><a:mo>,</a:mo><a:mi>ξ</a:mi><a:mo>,</a:mo><a:mi>t</a:mi><a:mo stretchy="false">)</a:mo></a:math>, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msubsup><e:mi>E</e:mi><e:mi>T</e:mi><e:mi>q</e:mi></e:msubsup><e:mo stretchy="false">(</e:mo><e:mi>x</e:mi><e:mo>,</e:mo><e:mi>ξ</e:mi><e:mo>,</e:mo><e:mi>t</e:mi><e:mo stretchy="false">)</e:mo></e:math>, <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msubsup><i:mover accent="true"><i:mi>H</i:mi><i:mo stretchy="false">˜</i:mo></i:mover><i:mi>T</i:mi><i:mi>q</i:mi></i:msubsup><i:mo stretchy="false">(</i:mo><i:mi>x</i:mi><i:mo>,</i:mo><i:mi>ξ</i:mi><i:mo>,</i:mo><i:mi>t</i:mi><i:mo stretchy="false">)</i:mo></i:math> agree with other models within a typical quark model accuracy. We present one of the few quark model calculations where polynomiality is satisfied and the sum rule <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mo>∫</o:mo><o:mi>d</o:mi><o:mi>x</o:mi><o:msubsup><o:mover accent="true"><o:mi>E</o:mi><o:mo stretchy="false">˜</o:mo></o:mover><o:mi>T</o:mi><o:mi>q</o:mi></o:msubsup><o:mo stretchy="false">(</o:mo><o:mi>x</o:mi><o:mo>,</o:mo><o:mi>ξ</o:mi><o:mo>,</o:mo><o:mi>t</o:mi><o:mo stretchy="false">)</o:mo><o:mo>=</o:mo><o:mn>0</o:mn></o:math> holds. We confront our results with predictions from the large-<u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msub><u:mi>N</u:mi><u:mi>c</u:mi></u:msub></u:math> limit, and with lattice QCD calculations. We conclude that the bag model successfully catches the main features of chiral-odd GPDs.