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The longitudinal-transverse spin asymmetry A_{LT} in the polarized Drell-Yanprocess depends on the twist-3 spin-dependent distributions of nucleon. Inaddition to the contributions expressed as matrix element of the twist-3operators, these distributions contain the so-called Wandzura-Wilczek part,which is completely determined by a certain integral of the twist-2spin-dependent parton distributions. We demonstrate that the recently obtainedempirical information on the transversity distribution allows a realisticestimate of the Wandzura-Wilczek contribution to A_{LT} for the case ofpolarized proton-antiproton collisions. In particular, our results in theWandzura-Wilczek approximation indicate that rather large A_{LT} can beobserved in the proposed spin experiments at GSI, and its behavior as afunction of dilepton mass obeys novel pattern, compared with the otherdouble-spin asymmetries A_{TT} and A_{LL}. Our results provide a guide fortesting a signal of effects originating from the twist-3 operators associatedwith quark-gluon correlation.

Drell-Yan double-spin asymmetry A_{LT} in polarized p\bar{p} collisions: Wandzura-Wilczek contribution