Diffractive $\rho$ production at small $x$ in future Electron - Ion Colliders

Abstract

The future Electron - Ion ($eA$) Collider is expected to probe the high energy regime of the QCD dynamics, with the exclusive vector meson production cross section being one of the most promising observables. In this paper we complement previous studies of exclusive processes presenting a comprehensive analysis of diffractive $\rho$ production at small $x$. We compute the coherent and incoherent cross sections taking into account non-linear QCD dynamical effects and considering different models for the dipole - proton scattering amplitude and for the vector meson wave function. The dependence of these cross sections with the energy, photon virtuality, nuclear mass number and squared momentum transfer is analysed in detail. Moreover, we compare the non-linear predictions with those obtained in the linear regime. Finally, we also estimate the exclusive photon, $J/\Psi$ and $\varphi$ production and compare with the results obtained for $\rho$ production. Our results demonstrate that the analysis of diffractive $\rho$ production in future electron - ion colliders will be important to understand the non-linear QCD dynamics.

12 pages, 8 figures, 1 table. Enlarged and revised version to be published in the Journal of Physics G. arXiv admin note: text overlap with arXiv:1503.00647

References in corpus (17)

• The Color Glass Condensate
• Gluon saturation and initial conditions for relativistic heavy ion collisions
• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• Impact parameter dependent colour glass condensate dipole model
• Nuclear enhancement and suppression of diffractive structure functions at high energies
• Exclusive diffractive processes in electron-ion collisions
• Vector Meson Production in Coherent Hadronic Interactions: An update on predictions for RHIC and LHC
• Investigation of diffractive photoproduction of $J/\Psi$ in hadronic collisions
• Exclusive ${\rm Y}$ photoproduction in hadronic collisions at CERN LHC energies
• Could saturation effects be visible in a future electron-ion collider?
• Ballistic protons in incoherent exclusive vector meson production as a measure of rare parton fluctuations at an Electron-Ion Collider
• Constraining the nuclear gluon distribution in $eA$ processes at RHIC
• Exclusive vector meson production in electron-ion collisions
• Unitarity constraints for DIS off nuclei: predictions for electron-ion colliders
• Deeply virtual Compton scattering at small-$x$ in future Electron - Ion Colliders
• Exclusive processes in electron - ion collisions
• Probing gluon number fluctuation effects in future electron-hadron colliders

Cited by in corpus (6)

• Spin effects in the pion holographic light-front wavefunction
• Investigating the impact of the gluon saturation effects on the momentum transfer distributions for the exclusive vector meson photoproduction in hadronic collisions
• Incoherent diffractive photoproduction of $J/\psi$ and ${\rm Y}$ on heavy nuclei in the color dipole approach
• Incoherent vector mesons production in PbPb ultraperipheral collisions at the LHC
• Coulomb corrections to inclusive cross sections at the future Electron - Ion Collider
• Probing Saturation Physics in the Real Compton Scattering at Ultraperipheral $pPb$ Collisions