  Within the light-quark sector of the standard model, P-odd observables are
generated from point-like electroweak processes while A_t- odd observables
(neglecting quark mass parameters) come from dynamic spin-orbit correlations
within hadrons or within larger composite systems, such as nuclei. The effects
of A_t-odd dynamics can be inserted into transverse-momentum dependent
constituent distribution functions and, in this paper, we construct the
contribution from an orbital quark to the A_t odd quark parton distribution.
Using this distribution, we examine the crucial role of initial- and
final-state interactions in the observation of the scattering asymmetries in
different hard-scattering processes. This construction provides a geometrical
and dynamical interpretation of the Collins conjugation relation between
single-spin asymmetries in semi-inclusive deep inelastic scattering and the
asymmetries in Drell-Yan production. Finally, our construction allows us to
display a significant difference between the calculation of a spin asymmetry
generated by a hard scattering mechanism involving color-singlet exchange (such
as a photon) and a calculation of an asymmetry with a hard-scattering exchange
involving gluons. This leads to an appreciation of the process dependence
inherent in measurements of single-spin observables.
