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The azimuthal asymmetry observed by the HERMES collaboration insemi-inclusive pion production in deep inelastic scattering of unpolarizedpositron on the longitudinally polarized proton target, can provide informationof the quark transversity distributions of the nucleon. We show that the quarktransversity distributions predicted both by the light-conequark-spectator-diquark model and by a pQCD inspired model can give consistentdescriptions of the available HERMES data for the analyzing powers$A_{UL}^{\sin \phi}$ and $A_{UL}^{\sin 2 \phi}$ for $\pi^+$ and $\pi^-$productions. We also show that the two models give similar predictions of$A_{UL}^{\sin \phi}$ for $\pi^+$ production, whereas they give very differentpredictions of $A_{UL}^{\sin \phi}$ for $\pi^-$ production at large $x$.Further precision measurement of $A_{UL}^{\sin \phi}$ for $\pi^-$ productioncan provide a decisive test of different models.Comment: 11 latex pages, 1 figure, version to appear in PR

Nucleon transversity distribution from azimuthal spin asymmetry in pion electroproduction