A phenomenological description of single transverse spin effects in hadron-
hadron inclusive processes is proposed, assuming a generalized factorizatio
n scheme and PQCD hard interactions. The transverse momentum k(perpendicula
r to) of the quarks inside the hadrons and of the hadrons relative to the f
ragmenting quark is taken into account in distribution and fragmentation fu
nctions, and leads to possible nonzero single spin asymmetries. The role of
k(perpendicular to) and spin-dependent quark fragmentations-the so-called
Collins effect-is investigated in details in p (1)p --> pi X processes: it
is shown how the experimental data could be described, obtaining an explici
t expression for the spin asymmetry of a polarized fragmenting quark, on wh
ich some comments are made. Predictions for other processes, possible furth
er applications, and experimental tests are discussed. [S0556-2821(99)06415
-2].