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The abundant production of lepton pairs via $J/\Psi$ creation at COMPASS,$\pi ^\pm \, p^\uparrow \to J/\Psi \, X \to \ell^+ \ell^- X$, allows ameasurement of the transverse Single Spin Asymmetry generated by the Siverseffect. The crucial issue of the sign change of the Sivers function in leptonpair production, with respect to Semi Inclusive Deep Inelastic Scatteringprocesses, can be solved. Predictions for the expected magnitude of the SingleSpin Asymmetry, which turns out to be large, are given.

The Sivers asymmetry in $J/\Psi$ and lepton pair production at COMPASS