Abstract
We study the transverse single-spin asymmetry (TSSA) in ${p}^{\ensuremath{\uparrow}}p\ensuremath{\rightarrow}J/\ensuremath{\psi}X$ reaction, incorporating both transverse momentum and spin effects. To predict production cross section of prompt $J/\ensuremath{\psi}$, we use two different approaches, the color-singlet model and the improved color evaporation model, and show how the predicted results for TSSAs depend on the choice of hadronization model. For initial-state factorization, we also consider two options: the standard generalized parton model and the color gauge-invariant version of it. Estimates for the TSSAs in ${p}^{\ensuremath{\uparrow}}p\ensuremath{\rightarrow}J/\ensuremath{\psi}X$ process for the conditions of the future Spin Physics Detector Nuclotron-based Ion Collider fAcility (NICA) experiment are presented for the first time.
Highlights
The transverse momentum dependent (TMD) parton distribution functions (PDFs) incorporate information about the three-dimensional structure of a proton and its spin properties [1,2]
The aim of the present study is to provide reasonable estimates for transverse single-spin asymmetry (TSSA) effects which can be observed in the kinematic conditions of the planned Spin Physics Detector (SPD) experiment at Nuclotron-based Ion Collider fAcility (NICA) collider [20,21]
We compare the theoretical predictions obtained in the nonrelativistic QCD (NRQCD)-factorization approach with the recent experimental data for the transverse momentum spectra of prompt J=ψ mesons, measured by the PHENIX RHIC experiment [37]
Summary
The transverse momentum dependent (TMD) parton distribution functions (PDFs) incorporate information about the three-dimensional structure of a proton and its spin properties [1,2]. The Sivers function describes the number density of unpolarized gluons g (or quarks q) with the intrinsic transverse momentum qT inside a transversely polarized proton p↑, with the three-momentum P and the spin polarization vector S, F↑g ðx; qT Þ 1⁄4 Fgðx; þ ΔNF↑g ðx; qT ÞS · ðP × q T. Þ; ð1Þ where x is the proton light-cone momentum fraction carried by the gluon, Fgðx; qTÞ is the unpolarized TMD parton density, ΔNF↑g ðx; qTÞ is the Sivers function, qT 1⁄4 jqTj, and the symbol ð^Þ denotes a unit vector, a 1⁄4 a=jaj
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