We present estimates of transverse single spin asymmetry (TSSA) in p + p ↑ → J/ψ + X within the colour evaporation model of charmonium production in a generalized parton model (GPM) framework, using the recently obtained best fit parameters for the gluon Sivers function (GSF) extracted from PHENIX data on TSSA in p+p ↑ → π 0 +X at midrapidity. We calculate asymmetry at √ s = 200 GeV, and compare the results with PHENIX data on TSSA in the process p + p ↑ → J/ψ+X. We also present estimates for asymmetry at √ s = 115 GeV corresponding to the proposed fixed target experiment AFTER@LHC and at √ s = 500 GeV corresponding to the higher RHIC energy. Finally, we investigate the effect of the transverse momentum dependent (TMD) evolution of the densities involved, on the asymmetry.
Heavy flavour production like J/ψ and D-meson production in scattering of electrons/unpolarized protons off polarized proton target offer promising probes to investigate gluon Sivers function. In this talk, I will summarize our recent work on trasverse single spin asymmetry in J/ψ -production and D -meson production in pp ↑ scattering using a generalized parton model approach. We compare predictions obtained using different models of gluon Sivers function within this approach and then, taking into account the transverse momentum dependent evolution of the unpolarized parton distribution functions and gluon Sivers function, we study the effect of evolution on asymmetry.
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