The azimuthal asymmetry observed by the HERMES collaboration in
semi-inclusive pion production in deep inelastic scattering of unpolarized
positron on the longitudinally polarized proton target, can provide information
of the quark transversity distributions of the nucleon. We show that the quark
transversity distributions predicted both by the light-cone
quark-spectator-diquark model and by a pQCD inspired model can give consistent
descriptions of the available HERMES data for the analyzing powers
AULsinΟβ and AULsin2Οβ for Ο+ and Οβ
productions. We also show that the two models give similar predictions of
AULsinΟβ for Ο+ production, whereas they give very different
predictions of AULsinΟβ for Οβ production at large x.
Further precision measurement of AULsinΟβ for Οβ production
can provide a decisive test of different models.Comment: 11 latex pages, 1 figure, version to appear in PR