Abstract

We show that the transverse double spin asymmetry in the Drell-Yan process contributed only from the Sivers functions can be picked out by the weighting function QTM2(cos (- S1)cos (- S2)+3sin (- S1)sin (- S2)). The asymmetry is proportional to the product of two Sivers functions from each hadron f1T (1)×f1T (1). Using two sets of Sivers functions extracted from the semi-inclusive deeply elastic scattering data at HERMES, we estimate this asymmetry in the p†p?† Drell-Yan process which is possible to be performed in high energy storage ring at GSI. The prediction of double spin asymmetry in the Drell-Yan process contributed by the function g1T(x,kT2), which can be extracted by the weighting function QTM2(3cos (- S1)cos (- S2)+sin (- S1)sin (- S2)), is also given at GSI. © 2007 The American Physical Society.