The recent measurements of azimuthal single spin asymmetries by the HERMES
Collaboration has opened up new possibility to measure chiral-odd distribut
ion functions through semi-inclusive deep-inelastic scatterings. Here, pred
ictions are given for the twist-2 and twist-3 chiral-odd distribution funct
ions of the nucleon within the framework of the chiral quark soliton model,
with full inclusion of the vacuum polarization effects as well as the subl
eading 1/N-c corrections. The importance of the vacuum polarization effects
is demonstrated by showing that the so-called Soffer inequality holds not
only for the quark distributions but also for the antiquark ones. (C) 2001
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