Sivers Effect and Transverse Single Spin Asymmetry in e+p^uparrow to e+J/psi+X
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We discuss the possibility of using electroproduction of $J/\psi $ as a probe of gluon Sivers function by measuring single spin asymmetry (SSA) in experiments with transversely polarized protons and electron beams. We estimate SSA for JLab, HERMES, COMPASS and eRHIC energies using the color evaporation model of charmonium production and find asymmetry up to 25% for certain choices of model parameters which have been used earlier for estimating SSA in the SIDIS and Drell-Yan processes.
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The effect of TMD evolution on the Sivers asymmetry in back-to-back $J/\psi+\gamma$ and $J/\psi+\text{jet}$ production at the Electron-Ion-Collider
After including TMD evolution, the Sivers asymmetry in these J/ψ processes at EIC kinematics remains sizable and largely independent of LDME choices, providing a robust probe of the gluon Sivers function.
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