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In this letter, we report the results for the isovector polarized quarkquasi-distribution functions $\Delta u(x,v) - \Delta d(x,v)$ in the large$N_c$, calculated within the chiral quark-soliton model. It is shown that thepolarized quark quasi-distributions present good convergence to the light-conePDFs in the limit of the nucleon boost momentum $P_N \to \infty$ (or thevelocity $v \to 1$), compared to the case of the unpolarized isosingletdistributions.

Isovector helicity quark quasi-distributions inside a large Nc nucleon