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We discuss the possibility of using electroproduction of $J/\psi $ as a probeof gluon Sivers function by measuring single spin asymmetry (SSA) inexperiments with transversely polarized protons and electron beams. We estimateSSA for JLab, HERMES, COMPASS and eRHIC energies using the color evaporationmodel of charmonium production and find asymmetry up to 25% for certain choicesof model parameters which have been used earlier for estimating SSA in theSIDIS and Drell-Yan processes.

Sivers Effect and Transverse Single Spin Asymmetry in $e+p^\uparrow \to e+J/\psi+X$