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Off-forward quark distributions of the nucleon in the large N_c limit

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arxiv hep-ph/9710270 v1 pith:ZLHS4UC2 submitted 1997-10-07 hep-ph

classification hep-ph
keywords distributionsnucleonchiraldeltamodeloff-forwardofqdquark
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the off-forward quark distributions (OFQD's) in the chiral quark-soliton model of the nucleon. This model is based on the large-N_c picture of the nucleon as a soliton of the effective chiral lagrangian and allows to calculate the leading twist quark- and antiquark distributions at a low normalization point. We demonstrate the consistency of the approach by checking various sum rules for the OFQD's. We present numerical estimates of the isosinglet distribution H(x,\xi,\Delta^2). In contrast to other approaches we find a strong qualitative dependence on the longitudinal momentum transfer, \xi. In particular, H(x,\xi,\Delta^2) as a function of x exhibits fast crossovers at |x| = \xi/2. Such behaviour could lead to a considerable enhancement of the deeply-virtual Compton scattering cross section.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Next-to-leading-order contributions

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Derives the NLO (1/Nc) chiral-odd GPDs in the pion mean-field picture, proves polynomiality and sum rules, and gives gradient-expansion estimates partially matching lattice QCD.

  2. T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton

    hep-ph 2024-08 unverdicted novelty 5.0 of 10

    T-odd leading-twist GTMDs in σ-space exhibit -t-dependent oscillations with transverse-longitudinal interference, while Sivers and Boer-Mulders Wigner distributions encode proton spin-transverse momentum correlations.

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