Generalized parton distributions of the nucleon in the chiral quark soliton model: Sum over all quark states at nonzero skewness and momentum transfer

Abstract. We compute the combinations \(E_M=H^{u+d}+E^{u+d}\) and \(H_E=H^{u-d}+tE^{u-d}/(4M_N^2)\) of unpolarized generalized parton distributions (GPDs) of the nucleon in the chiral quark soliton model at nonzero skewness \(\xi\) and nonzero momentum transfer \(t\). The combinations contain the GPDs \(H^{u-d}\) and \(E^{u+d}\), which are subleading in the expansion in the inverse number of colors. Both combinations are double sums over the quark states. A multipole expansion of the light-cone operators makes the sums computable at every \(\xi\) and every \(t\le0\). The contribution of the Dirac continuum is summed over the quark states, without an interpolation formula and without a gradient expansion. The first moments satisfy the form-factor sum rules, and the second moments satisfy polynomiality.