Abstract
We calculate the Sivers asymmetry in the photoproduction of almost back-to-back $J/\ensuremath{\psi}$-jet pair in the process $e{p}^{\ensuremath{\uparrow}}\ensuremath{\rightarrow}J/\ensuremath{\psi}+\text{jet}+X$, which will be possible at the future planned Electron-Ion Collider (EIC). We use the framework of a generalized parton model and nonrelativistic QCD for calculating the $J/\ensuremath{\psi}$ production rate. We include contributions from both color singlet and color octet states in the asymmetry. We obtain sizable Sivers asymmetry that can be promising to determine the gluon Sivers function. We also investigate the effect of transverse momentum dependent evolution on the asymmetry.
Highlights
Single spin asymmetries and transverse momentum dependent parton distributions (TMD PDFs) are objects of a lot of interest in recent days in hadron physics
We investigate the possibility to probe the gluon Sivers function (GSF) in quasireal photoproduction of back-to-back J=ψ and a jet by employing the generalized parton model (GPM) wherein the intrinsic transverse momentum of the initial parton is considered in the hard part, which will be possible in the future Electron-Ion Collider (EIC)
The nonrelativistic QCD (NRQCD) model is employed for J=ψ production, and the color singlet (CS) and color octet (CO) states are considered for both numerator and denominator parts of Eq (7)
Summary
Single spin asymmetries and transverse momentum dependent parton distributions (TMD PDFs) are objects of a lot of interest in recent days in hadron physics. In a recent work [35], maximal values of the azimuthal asymmetries in back-to-back electroproduction of a J=ψ and a jet is estimated within the TMD factorization framework by neglecting the intrinsic transverse momentum of the initial parton in the hard part. Another interesting process to probe the GSF is quasireal photoproduction of a hadron [36] or J=ψ [29,37,38].
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