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arXiv · hep-ph/9710270

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

V. Yu. Petrov·P. V. Pobylitsa·M. V. Polyakov·I. Boernig·K. Goeke·C. Weiss
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Abstract

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,ξ,Δ^2). In contrast to other approaches we find a strong qualitative dependence on the longitudinal momentum transfer, ξ. In particular, H(x,ξ,Δ^2) as a function of x exhibits fast crossovers at |x| = ξ/2. Such behaviour could lead to a considerable enhancement of the deeply-virtual Compton scattering cross section.

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V. Yu. Petrov, P. V. Pobylitsa, M. V. Polyakov, I. Boernig, K. Goeke, C. Weiss. 1997-10-07. Off-forward quark distributions of the nucleon in the large N_c limit. https://doi.org/10.1103/physrevd.57.4325

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