  We study the single-spin asymmetries of pions produced in semi-inclusive
deep-inelastic scattering on the longitudinally polarized nucleon targets. We
particularly consider the effects of the twist-3 transverse-momentum dependent
distribution functions $f_L^\perp$ and $h_L$ to the asymmetry. We calculate the
asymmetric moment $A_{UL}^{\sin\phi_h}$ for $\pi^+$, $\pi^-$ and $\pi^0$
produced off the proton target at HERMES and compare the results with the
HERMES data. We also present the prediction of the same asymmetries for
different pions at the kinematics of CLAS 5.5 GeV on a proton target, as well
as at COMPASS on a deuteron target.
