Helicity skewed quark distributions of the nucleon and chiral symmetry

Abstract

We compute the helicity skewed quark distributions $\tilde{H}$ and $\tilde{E}$ in the chiral quark-soliton model of the nucleon. This model emphasizes correctly the role of spontaneously broken chiral symmetry in structure of nucleon. It 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 discuss the role of chiral symmetry in the helicity skewed quark distributions $\tilde{H}$ and $\tilde{E}$. We show that generalization of soft pion theorems, based on chiral Ward identities, leads in the region of -\xi < x < \xi to the pion pole contribution to $\tilde{E}$ which dominates at small momentum transfer.

Comments: 22 pages, 5 figures