  We study the single-spin (left-right) asymmetry in single-inclusive pion
production in hadronic scattering. This asymmetry is power-suppressed in the
transverse momentum of the produced pion and can be analyzed in terms of
twist-three parton correlation functions in the proton. We present new
calculations of the corresponding partonic hard-scattering functions that
include the so-called "non-derivative" contributions not previously considered
in the literature. We find a remarkably simple structure of the results. We
also present a brief phenomenological study of the spin asymmetry, taking into
account data from fixed-target scattering and also the latest information
available from RHIC. We make additional predictions that may be tested
experimentally at RHIC.
