The spin-dependent structure function g(2)(x, Q(2)) is investigated within
the framework of the chiral quark soliton model. It turns out that the twis
t-3 part of g(2)(x, Q(2)) gives nonnegligible contributions to the total di
stributions at the energy scale of Q(2) = 5 GeV2 but mainly in the smaller
x region only, so that the corresponding third moments integral(0)(1) x(2)
(g) over bar(2)(x, Q(2)) dx are pretty small for both of the proton and neu
tron in conformity with the recent E155 data. (C) 2000 Elsevier Science B.V
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