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

We compute the combinations EM=Hᵘ⁺ᵈ+Eᵘ⁺ᵈ and HE=Hᵘ⁻ᵈ+tEᵘ⁻ᵈ/(4MN²) of unpolarized generalized parton distributions (GPDs) of the nucleon in the chiral quark soliton model at nonzero skewness $ξ$ and nonzero momentum transfer t. The combinations contain the GPDs Hᵘ⁻ᵈ and Eᵘ⁺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 $ξ$ and every t≤0. 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.