Transverse Single Spin Asymmetry in $p+p^{\uparrow }\to D+X$

Abstract

We present expected values of the Single Spin Asymmetry (SSA) in $D$-meson production in the process $p+p^{\uparrow }\to D^0+X$ at RHIC energy $(\sqrt{s}=200\text{ GeV})$ using a generalized parton model approach. We use fits to the gluon Sivers function obtained recently by D'Alesio {\it et al.,} by fitting to the asymmetry data for the process $p+p^{\uparrow }\to {\pi }^0+X$ measured by the PHENIX collaboration at RHIC. These fits give peak asymmetry predictions which lie in a broad range, $0.5\%\lesssim A_N\lesssim 10\%$ for the kinematic regions considered. This is to be compared with the upper bound of 18\% expected for the maximal gluon Sivers function. We extend our analysis to two other centre of mass energies of proposed experiments - AFTER@LHC $(\sqrt{s}=115\text{ GeV})$ and a future RHIC run $(\sqrt{s}=500\text{ GeV})$. We further investigate (at $\sqrt{s}=200$ GeV) the effect of the transverse momentum dependent (TMD) evolution of the unpolarized parton distribution functions (pdf's) and of the gluon Sivers function on the asymmetry predictions. We perform this study using an evolution setup given by Anselmino {\it et al}. We find that the effect of evolution is an overall reduction of the asymmetry predictions. For example, for the saturated gluon Sivers function, upon taking into account TMD evolution, peak asymmetry predictions reduce by a factor 3 or more. This decrease is similar to that noticed earlier for Single Spin Asymmetries (SSA) in the electroproduction of $J/\psi$.

25 pages, 5 figures; Final version, to appear on PRD. Minor changes in the introduction for clarity

References in corpus (13)

• Sivers Effect for Pion and Kaon Production in Semi-Inclusive Deep Inelastic Scattering
• Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
• A Unified Picture for Single Transverse-Spin Asymmetries in Hard Processes
• QCD evolution of (un)polarized gluon TMDPDFs and the Higgs $q_T$-distribution
• Heavy Quarkonium Production in Single Transverse Polarized High Energy Scattering
• Towards a first estimate of the gluon Sivers function from $A_N$ data in $pp$ collisions at RHIC
• Process dependent Sivers function and implications for single spin asymmetry in inclusive hadron production
• Azimuthal asymmetries for hadron distributions inside a jet in hadronic collisions
• Nucleon tensor charge from Collins azimuthal asymmetry measurements
• Transverse Single Spin Asymmetry in $e+p^{\uparrow }\to e+J/\psi +X$ and $Q^2$ -evolution of Sivers Function-II
• Probing Transverse Momentum Dependent Parton Distributions in Charmonium and Bottomonium Production
• Accessing tri-gluon correlations in the nucleon via the single spin asymmetry in open charm production
• On the Relation Between Mechanisms for Single-Transverse-Spin Asymmetries

Cited by in corpus (12)

• Probing the gluon Sivers function in $p^{\uparrow }p\to J/\psi X$ and $p^{\uparrow }p\to DX$
• Unraveling the Gluon Sivers Function in Hadronic Collisions at RHIC
• A Fixed-Target Programme at the LHC: Physics Case and Projected Performances for Heavy-Ion, Hadron, Spin and Astroparticle Studies
• Gluon TMDs in quarkonium production
• Transverse Single Spin Asymmetry in $p+p^{\uparrow }\to J/\psi +X$
• Transverse single-spin asymmetry in the low-virtuality leptoproduction of open charm as a probe of the gluon Sivers function
• Probing the Gluon Sivers Function through direct photon production at RHIC
• The twist-3 gluon contribution to Sivers asymmetry in $J/\psi$ production in semi-inclusive deep inelastic scattering
• Probing the Sivers asymmetries through $J/\psi$ photoproduction in ${\mathrm{p}}^{\uparrow }\mathrm{p}$ collision with forward proton tagging
• Azimuthal asymmetries in $D$-meson and jet production at the EIC
• Gluon Sivers function and transverse single spin asymmetries in $e+p^{\uparrow }\to \gamma +X$
• Low-virtuality leptoproduction of open-charm as a probe of the gluon Sivers function