Chiral-odd generalized parton distributions of sea quarks at ξ=0 in the light-cone quark model

We study the chiral-odd generalized parton distributions (GPDs) of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mover accent="true"><a:mi>u</a:mi><a:mo stretchy="false">¯</a:mo></a:mover></a:math> and <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mover accent="true"><e:mi>d</e:mi><e:mo stretchy="false">¯</e:mo></e:mover></e:math> quarks inside the proton at zero skewness using the overlap representation within the light-cone formalism. Utilizing the light-cone wave functions of the proton obtained from the baryon-meson fluctuation model in terms of the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mo stretchy="false">|</i:mo><i:mi>q</i:mi><i:mover accent="true"><i:mi>q</i:mi><i:mo stretchy="false">¯</i:mo></i:mover><i:mi>B</i:mi><i:mo stretchy="false">⟩</i:mo></i:math> Fock states, we provide expressions for the GPDs <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mrow><o:msubsup><o:mrow><o:mover accent="true"><o:mrow><o:mi>H</o:mi></o:mrow><o:mrow><o:mo stretchy="false">˜</o:mo></o:mrow></o:mover></o:mrow><o:mrow><o:mi>T</o:mi></o:mrow><o:mrow><o:mover accent="true"><o:mrow><o:mi>q</o:mi></o:mrow><o:mrow><o:mo stretchy="false">¯</o:mo></o:mrow></o:mover><o:mo>/</o:mo><o:mi>P</o:mi></o:mrow></o:msubsup><o:mo stretchy="false">(</o:mo><o:mi>x</o:mi><o:mo>,</o:mo><o:mn>0</o:mn><o:mo>,</o:mo><o:mi>t</o:mi><o:mo stretchy="false">)</o:mo></o:mrow></o:math>, <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msubsup><w:mi>H</w:mi><w:mi>T</w:mi><w:mrow><w:mover accent="true"><w:mi>q</w:mi><w:mo stretchy="false">¯</w:mo></w:mover><w:mo>/</w:mo><w:mi>P</w:mi></w:mrow></w:msubsup><w:mo stretchy="false">(</w:mo><w:mi>x</w:mi><w:mo>,</w:mo><w:mn>0</w:mn><w:mo>,</w:mo><w:mi>t</w:mi><w:mo stretchy="false">)</w:mo></w:math>, and <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:msubsup><cb:mi>E</cb:mi><cb:mi>T</cb:mi><cb:mrow><cb:mover accent="true"><cb:mi>q</cb:mi><cb:mo stretchy="false">¯</cb:mo></cb:mover><cb:mo>/</cb:mo><cb:mi>P</cb:mi></cb:mrow></cb:msubsup><cb:mo stretchy="false">(</cb:mo><cb:mi>x</cb:mi><cb:mo>,</cb:mo><cb:mn>0</cb:mn><cb:mo>,</cb:mo><cb:mi>t</cb:mi><cb:mo stretchy="false">)</cb:mo></cb:math> where <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"><ib:mover accent="true"><ib:mi>q</ib:mi><ib:mo stretchy="false">¯</ib:mo></ib:mover><ib:mo>=</ib:mo><ib:mover accent="true"><ib:mi>u</ib:mi><ib:mo stretchy="false">¯</ib:mo></ib:mover></ib:math> and <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"><ob:mover accent="true"><ob:mi>d</ob:mi><ob:mo stretchy="false">¯</ob:mo></ob:mover></ob:math>. Numerical results for these GPDs in momentum space as well as in impact parameter space are presented. Additionally, we investigate specific combinations of the chiral-odd GPDs in impact parameter space, focusing on the spin-orbit correlation effect of the sea quarks.