Transverse Single Spin Asymmetry in $e+p^{\uparrow }\to e+J/\psi +X$ and Transverse Momentum Dependent Evolution of the Sivers Function

Abstract

We extend our analysis of transverse single spin asymmetry (SSA) in electroproduction of $J/\psi$ to include the effect of the scale evolution of the transverse momentum dependent (TMD) parton distribution functions and gluon Sivers function. We estimate SSA for JLab, HERMES, COMPASS, and eRHIC energies using the color evaporation model of charmonium production, using an analytically obtained approximate solution of TMD evolution equations discussed in the literature. We find that there is a reduction in the asymmetry compared with our predictions for the earlier case considered by us, wherein the $Q^2$ dependence came only from DGLAP evolution of the unpolarized gluon densities and a different parametrization of the TMD Sivers function was used.

12 pages, 6 figures. arXiv admin note: text overlap with arXiv:1201.1066

References in corpus (5)

• Sivers Effect for Pion and Kaon Production in Semi-Inclusive Deep Inelastic Scattering
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Sivers effect in Drell-Yan processes
• Heavy Quarkonium Production in Single Transverse Polarized High Energy Scattering
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