Parton Saturation at Small x and in Large Nuclei

Abstract

Quark and gluon distributions in the light-cone wavefunction of a high energy hadron or nucleus are calculated in the saturation regime. One loop calculations are performed explicitly using the equivalence between the parton distribution in the light-cone wavefunction and the production distribution of that parton in a current-nucleon (nucleus) scattering. We argue that, except for some overall numerical factors, the Weizsacker- Williams wavefunction correctly gives the physics of the gluon distribution in a light-cone wavefunction.

24 pages, 4 figures

Cited by in corpus (211)

• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Color Glass Condensate
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• The Renormalization Group Equation for the Color Glass Condensate
• Unitarity at small Bjorken x
• The Physics of Ultraperipheral Collisions at the LHC
• Geometric scaling for the total gamma^* p cross section in the low x region
• Relating different approaches to nonlinear QCD evolution at finite gluon density
• Saturation and BFKL dynamics in the HERA data at small x
• Evolution at small x_bj: The Color Glass Condensate
• The Energy Dependence of the Saturation Momentum
• Geometric Scaling above the Saturation Scale
• The initial energy density of gluons produced in very high energy nuclear collisions
• Inclusive Gluon Production in DIS at High Parton Density
• Parton saturation and N_part scaling of semi--hard processes in QCD
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• The initial gluon multiplicity in heavy ion collisions
• Nuclear shadowing
• Saturation and Universality in QCD at small x
• 50 Years of Quantum Chromodynamics
• Inclusive Hadron Productions in pA Collisions
• Heavy-quarkonium suppression in p-A collisions from parton energy loss in cold QCD matter
• The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
• Impact-parameter dependent Color Glass Condensate dipole model and new combined HERA data
• Nonperturbative Effects in Gluon Radiation and Photoproduction of Quark Pairs
• Jet Quenching
• CGC predictions for p+Pb collisions at the LHC
• Universal features of JIMWLK and BK evolution at small x
• Nuclear Deep-Inelastic Lepton Scattering and Coherence Phenomena
• Effective field theory for the small-x evolution
• Sudakov Double Logarithms Resummation in Hard Processes in Small-x Saturation Formalism
• How Protons Shatter Colored Glass
• Probing the Small-$x$ Gluon Tomography in Correlated Hard Diffractive Dijet Production in DIS
• Small-x physics beyond the Kovchegov equation
• Cronin Effect in Hadron Production off Nuclei
• Diffractive Vector Meson Production at HERA: from Soft to Hard QCD
• Role of the nonperturbative input in QCD resummed Drell-Yan $Q_T$-distributions
• A Simple Derivation of the JIMWLK Equation
• Exclusive vector meson production at high energies and gluon saturation
• Coherence Phenomena in Charmonium Production off Nuclei at the Energies of RHIC and LHC
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• Deep Inelastic Scattering in Conformal QCD
• Deep inelastic scattering at strong coupling from gauge/string duality : the saturation line
• CGC predictions for p+A collisions at the LHC and signature of QCD saturation
• Nonlinear QCD Evolution: Saturation without Unitarization
• Nonlinear evolution in high-density QCD
• Hadron structure in high-energy collisions
• Rare fluctuations and the high-energy limit of the S-matrix in QCD
• QCD Plasma Instabilities and Isotropization
• Non-abelian plasma instabilities for strong anisotropy
• AdS black disk model for small-x DIS
• A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei
• Froissart Bound from Gluon Saturation
• Saturation in Deep Inelastic Scattering from AdS/CFT
• J/psi suppression in p-A collisions from parton energy loss in cold QCD matter
• Equilibration in phi^4 theory in 3+1 dimensions
• Non linear gluon evolution in path-integral form
• Multi-particle Production and Thermalization in High-Energy QCD
• Resummed QCD Power Corrections to Nuclear Shadowing
• Gluon Shadowing and Heavy Flavor Production off Nuclei
• Classical Initial Conditions for Ultrarelativistic Heavy Ion Collisions
• From DIS to proton-nucleus collisions in the Color Glass Condensate model
• A Gaussian effective theory for gluon saturation
• Perturbative Saturation and the Soft Pomeron
• Transverse Dynamics of Hard Partons in Nuclear Media and the QCD Dipole
• The shape of the proton at high energies
• On the small-x evolution of the color quadrupole and the Weizsäcker-Williams gluon distribution
• Scattering of Gluons from the Color Glass Condensate
• Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
• S-Matrix Unitarity, Impact Parameter Profiles, Gluon Saturation and High-Energy Scattering
• Nuclear effects in the Drell-Yan process at very high energies
• Nonlinear corrections to the DGLAP equations in view of the HERA data
• Lepton Pair Production Through Two Photon Process in Heavy Ion Collisions
• Cronin effect and high-p_T suppression in the nuclear gluon distribution at small x
• Transverse Momentum Dependent Parton Distributions at Small-x
• Gluon saturation and energy dependence of hadron multiplicity in pp and AA collisions at the LHC
• Hadron multiplicity in pp and AA collisions at LHC from the Color Glass Condensate
• Peripheral heavy ion collisions as a probe of the nuclear gluon distribution
• Measuring the Weizsaecker-Williams distribution of linearly polarized gluons at an EIC through dijet azimuthal asymmetries
• Universality of multi-particle production in QCD at high energies
• Semi-inclusive Deep Inelastic Scattering at small x
• High-enegy effective action from scattering of QCD shock waves
• Transverse single spin asymmetries at small x and the anomalous magnetic moment
• Saturation and shadowing in high-energy proton-nucleus dilepton production
• Scattering of Dark Particles with Light Mediators
• Summing Pomeron loops in the dipole approach
• Acoplanarity of Lepton Pair to Probe the Electromagnetic Property of Quark Matter
• Nuclear A-dependence near the Saturation Boundary
• Jet quenching and broadening: the transport coefficient $\hat{q}$ in an anisotropic plasma
• Suppression of maximal linear gluon polarization in angular asymmetries
• Scattering of shock waves in QCD
• Geometric scaling and QCD evolution
• Nuclear shadowing in neutrino-nucleus deeply inelastic scattering
• Medium Induced Transverse Momentum Broadening in Hard Processes
• Revealing the black-body regime of small-x deep-inelastic scattering through final-state signals
• Classical and quantum entropy of parton distributions
• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• Multiplicities and $p_T$ spectra in ultrarelativistic heavy ion collisions from a next-to-leading order improved perturbative QCD + saturation + hydrodynamics model
• Calculating TMDs of a Large Nucleus: Quasi-Classical Approximation and Quantum Evolution
• Pursuing the Precision Study for Color Glass Condensate in Forward Hadron Productions
• Color transparency in deeply inelastic diffraction
• Gluon Distributions and Color Charge Correlations in a Saturated Light-cone Wavefunction
• Extracting many-body color charge correlators in the proton from exclusive DIS at large Bjorken x
• Semi-inclusive Diffractive Deep Inelastic Scattering at Small-$x$
• Quantum chromodynamics at high energy and statistical physics
• Scaling Phenomena in Gravity from QCD
• Color Neutrality and the Gluon Distribution in a Very Large Nucleus
• Non-Universality of Transverse Momentum Dependent Parton Distributions at Small-x
• The QCD Pomeron in ultraperipheral heavy ion collisions: III. Photonuclear production of heavy quarks
• Diffractive dissociation from non-linear evolution in DIS on nuclei
• A zero-dimensional model for high-energy scattering in QCD
• A unitary model for structure functions and diffractive production at small x
• Structure of longitudinal chromomagnetic fields in high energy collisions
• QCD Saturation in the Semi-classical Approach
• Electroproduction of Charmonia off Nuclei
• T-odd Leading-Twist Quark TMDs at Small $x$
• Analysis of the first RHIC results in the String Fusion Model
• Initial conditions for dipole evolution beyond the McLerran-Venugopalan model
• Scattering of color dipoles: from low to high energies
• A Pomeron Approach to Hadron-Nucleus and Nucleus-Nucleus "Soft" Interactions at High Energy
• Hard probes in heavy ion collisions at the LHC: PDFs, shadowing and $pA$ collisions
• Conformal invariant saturation
• Deep Inelastic Scattering Data and the Problem of Saturation in Small-x Physics
• Dilepton low $p_T$ suppression as an evidence of the Color Glass Condensate
• Comparison of the Color Glass Condensate to multiplicity dependence of the average transverse momentum in p+p, p+Pb and Pb+Pb collisions at the LHC
• Geometrical scaling for identified particles
• Gluon shadowing in the low x region probed by the LHC
• Parton distribution function for quarks in an s-channel approach
• One-dimensional model for QCD at high energy
• Nonlinear kT factorization for Forward Dijets in DIS off Nuclei in the Saturation Regime
• Sivers asymmetry of Drell-Yan production in small-$x$ regime
• Proton breakup in high-energy pA collisions from perturbative QCD
• Searching Evidence for the Color Glass Condensate at RHIC
• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
• High-density QCD and Cosmic Ray Air Showers
• Sea quark Sivers distribution
• Harmonic oscillator force between heavy quarks
• Theoretical overview: towards understanding the quark-gluon plasma
• Polarized Hyperons from pA Scattering in the Gluon Saturation Regime
• Higher twists and maxima for DIS on nuclei in high density QCD region
• Nuclear Broadening Effects on Hard Prompt Photons at Relativistic Energies
• Initial and Final State Interaction Effects in Small-x Quark Distributions
• On dissociation of heavy mesons in a hot quark-gluon plasma
• Ultrahigh energy neutrinos and non-linear QCD dynamics
• Probing parton saturation with forward $Z^0$-boson production at small transverse momentum in p+p and p+A collisions
• Decoherence and Entropy Production in Relativistic Nuclear Collisions
• Saturation effects in SIDIS at very forward rapidities
• Searching Saturation in eA Processes
• Parton rescattering and gluon saturation in dijet production at EIC
• Forward Inclusive Jet Productions in pA Collisions
• Has HERA reached a new QCD regime?
• Quantitative Study of Different Forms of Geometrical Scaling in Deep Inelastic Scattering at HERA
• The saturation scale and its x-dependence from Lambda polarization studies
• Transverse single spin asymmetry in Drell-Yan production in polarized pA collisions
• Universal geometrical scaling for hadronic interactions
• Parton Percolation and J/Psi Suppression
• Liouville field theory for gluon saturation in QCD at high energy
• Magnetic flux loop in high-energy heavy-ion collisions
• Unitarity Corrections to the Drell-Yan Process in the Target Rest Frame
• Thermal radiation and inclusive production in the KLN model for ion-ion collisions
• Unitarity bound for gluon shadowing
• Non-Gaussian Correlations in the McLerran-Venugopalan Model
• A Study of Parton Energy Loss in Au+Au Collisions at RHIC using Transport Theory
• Color Glass Condensate and its relation to HERA physics
• Color-neutral heavy particle production in nucleus-nucleus collisions in the quasi-classical approximation
• Enhanced Minijet Production in $A-A$ Collisions from Gluons with Large Transverse Momenta
• Applied High Energy QCD
• Nuclear Modification to Parton Distribution Functions and Parton Saturation
• Violation of Geometrical Scaling in pp Collisions at NA61/SHINE
• Magnetic screening in high-energy heavy-ion collisions
• Novel Cross Section Ratios as Possible Signals of Saturation in UPCs
• Power-like corrections and the determination of the gluon distribution
• Why Breakup of Photons and Pions into Forward Dijets Is so Different: Predictions from Nonlinear Nuclear k_t-factorization
• Saturation of Nuclear Partons: the Fermi Statistics or Nuclear Opacity?
• Nuclear $p_{\perp }$-broadening of an energetic parton pair
• Particle multiplicities in the central region of high-energy collisions from $k_T$-factorization with running coupling corrections
• Small-x analysis on the effect of gluon recombinations inside hadrons in light of the GLR-MQ-ZRS equation
• On phenomenological study of the solution of nonlinear GLR-MQ evolution equation beyond leading order
• The Colour Glass Condensate
• Higher Twist Corrections and Maxima for DIS on a Proton in the High Density QCD Region
• Exclusive vector meson productions with the analytical solution of Balitsky-Kovchegov Equation
• Saturation and Wilson Line Distributions
• A geometrical estimation of saturation of partonic densities
• Fluctuations of topological charge and chiral density in the early stage of high energy nuclear collisions
• Quarkonium suppression as a probe of a saturated gluon plasma ?
• Incoherent diffractive dijet production and gluon Bose enhancement in the nuclear wave function
• Additional $J/\Psi$ Suppression from High Density Effects
• Strong interactions in air showers
• High density QCD and nucleus-nucleus scattering deeply in the saturation region
• Nuclear dependence coefficient $\alpha (A,q_T)$ for the Drell-Yan and J/$\psi$ production
• Scattering Amplitudes in High Energy QCD
• Multiplicity and transverse energy of produced gluon in relativistic heavy ion collision
• Sudakov Factor in the Deep Inelastic Scattering of a Current off a Large Nucleus
• Photon Exchange in Nucleus-Nucleus Collisions
• Low-x Physics
• Review of Recent Developments in the CGC
• Classical information entropy of parton distribution functions and an application in searching gluon saturation
• Traveling waves and the renormalization group improved Balitsky-Kovchegov equation
• Probing topological order of QCD at Electron Ion Collider
• High Density QCD, Saturation and Diffractive DIS
• Gluon distributions in nuclei at small x: guidance from different models
• Factorization of photon induced processes in ultra-peripheral heavy ion collisions
• Evaluating the ratio of the exclusive vector meson photoproduction to inclusive hadron/jet production cross section in ultraperipheral heavy ion collisions
• The High Density Effects in Heavy Quark Production at pA Colliders
• Impact of saturation on s-channel helicity nonconservation for diffractive vector mesons
• Early Time Dynamics and the Bulk
• Low x Physics
• High Density QCD and Saturation of Nuclear Partons
• Physics for a Polarized Electron-Nucleon/Nucleus-Collider
• A geometrical scaling solution to the BFKL Pomeron Calculus in the saturation domain
• Color-glass condensate beyond the Gaussian approximation