• Accepted Paper

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

Josuke Minamiguchi

Phys. Rev. D - Accepted 22 October, 2026

DOI: https://doi.org/10.1103/8wrp-hkth

Abstract

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.

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