  The spin-dependent structure functions g_2 (x, Q^2) are investigated within the framework of the chiral quark soliton model. It turns out that the twist-3 part of g_2 (x, Q^2) gives nonnegligible contributions to the total distributions at the energy scale of Q^2 = 5 {GeV}^2 but mainly in the smaller x 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 conformity with the recent E155 data. 
Polarized Structure Functions g_2 (x) in the Chiral Quark Soliton Model