Quarkonium production is a sensitive probe of the dynamics of hard scatteri
ng, which can 'measure' the environment of the heavy quark pair after it is
created in a hard process. Quarkonium hadroproduction data indicates that
the produced pair experiences a secondary, hard interaction and then ceases
to interact at a stage when the pair is still compact (compared to the sir
e of the quarkonium wave function). These features differ from scenarios mo
stly discussed so far. An approach which relies on an early, perturbative r
escattering of the pair with a comoving color field can explain many observ
ed features, including the polarization, the chi(1)/chi(2) ratio and the nu
clear target A-dependence, which are difficult to understand otherwise.