The spin-dependent structure functions g_2 (x, Q^2) are investigated withinthe framework of the chiral quark soliton model. It turns out that the twist-3part of g_2 (x, Q^2) gives nonnegligible contributions to the totaldistributions at the energy scale of Q^2 = 5 {GeV}^2 but mainly in the smallerx region only, so that the corresponding third moments \int_0^1 x^2 \bar{g}_2(x, Q^2) dx are pretty small for both of the proton and neutron in conformitywith the recent E155 data.
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