Exclusive vector meson productions with the analytical solution of Balitsky-Kovchegov Equation

Abstract

Exclusive vector meson production is an excellent probe for describing the structure of proton. In this paper, based on dipole model, the differential cross sections, total cross sections and the ratios of the longitudinal to transverse cross sections of $J/\psi$ and ${\rho }^0$ productions are calculated with the analytical solution of Balitsky-Kovchegov (BK) equation. In addition, we also consider the influences of two meson wave function models on the results. Our predictions, which are little sensitive to meson wave functions, agree with the experimental data. The analytical solution of BK equation is reliable for description of exclusive vector meson production in a certain range of $Q^2$.

10 pages,8 figures,1 table. Add some references. The paper is to be published in Chinese Physics C

References in corpus (57)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Color Glass Condensate
• The BFKL Equation from the Wilson Renormalization Group
• Unitarization of the BFKL Pomeron on a Nucleus
• Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA
• Unitarity at small Bjorken x
• An Impact Parameter Dipole Saturation Model
• Exclusive diffractive processes at HERA within the dipole picture
• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Saturation and BFKL dynamics in the HERA data at small x
• Electron-Ion Collider in China
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Exclusive photoproduction of J/psi mesons at HERA
• Elastic J/Psi Production at HERA
• Geometric scaling as traveling waves
• Parton Saturation at Small x and in Large Nuclei
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Off-diagonal distributions fixed by diagonal partons at small $x$ and $\xi$
• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• Traveling wave fronts and the transition to saturation
• Exclusive electroproduction of J/psi mesons at HERA
• Impact-parameter dependent Color Glass Condensate dipole model and new combined HERA data
• Impact parameter dependent colour glass condensate dipole model
• Effective field theory for the small-x evolution
• The Color Glass Condensate and High Energy Scattering in QCD
• Nuclear enhancement of universal dynamics of high parton densities
• On solutions of the Balitsky-Kovchegov equation with impact parameter
• Colour dipoles and rho, phi electroproduction
• Scanning the BFKL pomeron in elastic production of vector mesons at HERA
• Elastic Electroproduction of rho Mesons at HERA
• Diffractive Electroproduction of rho and phi Mesons at HERA
• Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
• Universality and tree structure of high energy QCD
• Exclusive rho^0 production in deep inelastic scattering at HERA
• Nuclear enhancement and suppression of diffractive structure functions at high energies
• Incoherent diffractive J/Psi-production in high energy nuclear DIS
• Gluon saturation and inclusive hadron production at LHC
• Decisive test of color transparency in exclusive electroproduction of vector mesons
• Saturation models of HERA DIS data and inclusive hadron distributions in p+p collisions at the LHC
• Operator Expansion for Diffractive High-Energy Scattering
• Exclusive photoproduction at the Tevatron and LHC within the dipole picture
• Color Dipole Systematics of Diffractive Photo- and Electroproduction of Vector Mesons
• Theoretical uncertainties in exclusive electroproduction S-wave heavy quarkonia
• Diffractive $\rho$ and $\varphi$ production at HERA using an AdS/QCD holographic light-front meson wavefunction
• Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence
• An Analytical Solution of the Balitsky-Kovchegov Equation with the Homogeneous Balance Method
• ${\gamma }^{\ast }p$ cross section from the dipole model in momentum space
• QCD traveling waves at non-asymptotic energies
• Solution to the evolution equation at NLL for high parton density QCD
• High energy asymptotic behavior of the $S$-matrix in the saturation region with the smallest dipole running coupling prescription
• Exclusive photoproduction of vector mesons in proton-lead ultraperipheral collisions at the LHC
• Exclusive processes in $ep$ collisions at the EIC and LHeC: A closer look on the predictions of saturation models
• Solution to the Sudakov suppressed Balitsky-Kovchegov equation and its application to the HERA data

Cited by in corpus (3)

• Page Entropy of Proton System in Deep-Inelastic-Scattering at Small-$x$
• Asymptotic gluon density within the color dipole picture in the light of HERA high-precision data
• Extraction of the color dipole amplitude with physics-informed neural networks