Unitarization of the BFKL Pomeron on a Nucleus

Abstract

We analyze the evolution equation describing all multiple hard pomeron exchanges in a hadronic or nuclear structure functions that was proposed earlier. We construct a perturbation series providing us with an exact solution to the equation outside of the saturation region. The series demonstrates how at moderately high energies the corrections to the single BFKL pomeron exchange contribution which are due to the multiple pomeron exchanges start unitarizing total deep inelastic scattering cross section. We show that as energy increases the scattering cross section of the quark-antiquark pair of a fixed transverse separation on a hadron or nucleus given by the solution of our equation inside of the saturation region unitarizes and becomes independent of energy. The corresponding F_2 structure function also unitarizes and becomes linearly proportional to ln s. We also discuss possible applications of the developed technique to diffraction.

REVTeX, 20 pages, 6 figures

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• Semiclassical solution to the BFKL equation with massive gluons
• Dense-dilute factorization for a class of stochastic processes and for high energy QCD
• Universality of traveling waves with QCD running coupling
• Unintegrated dipole gluon distribution at small transverse momentum
• Solutions to the Balitsky-Kovchegov equation including the dipole orientation
• Scaling properties of direct photon yields in heavy ion collisions
• Universality of QCD traveling-waves with running coupling
• QCD at small x and nucleus-nucleus collisions
• Coherent and incoherent $J/\Psi$ photoproduction in $PbPb$ collisions at the LHC, HE -- LHC and FCC
• The gluon condensation in hadron collisions
• Small-$x$ QCD evolution of $2n$ Wilson line correlator: the weak field limit
• Time-Dependent Observables in Heavy Ion Collisions II: in Search of Pressure Isotropization in the ${\phi }^4$ Theory
• Loops in the Reggeon model for hA scattering
• BFKL Pomeron at non-zero temperature and integrability of the Reggeon dynamics in multi-colour QCD
• Higher Twist Corrections and Maxima for DIS on a Proton in the High Density QCD Region
• Asymptotics of QCD traveling waves with fluctuations and running coupling effects
• Small-x QCD studies with CMS at the LHC
• Diffractive $\rho$ production at small $x$ in future Electron - Ion Colliders
• Towards tomography of quark-gluon plasma using double inclusive forward-central jets in Pb-Pb collision
• Isolated photon production in $pp$ collisions at forward rapidities and high multiplicity events
• Exclusive vector meson productions with the analytical solution of Balitsky-Kovchegov Equation
• QCD traveling waves phenomenology revisited
• Proposal for a running coupling JIMWLK equation
• PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model
• Analytic solution of Balitsky-Kovchegov equation with running coupling constant using homogeneous balance method
• Brief Review of Saturation Physics
• Exclusive quarkonium photoproduction: predictions with the Balitsky-Kovchegov equation including the full impact-parameter dependence
• Colour strings vs. hard pomeron in perturbative QCD
• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• Quark TMDs from back-to-back dijet production at forward rapidities in pA collisions beyond eikonal accuracy in the CGC
• DIS and the effects of fluctuations: a momentum space analysis
• Saturation and Wilson Line Distributions
• Proton and anti-proton production in the forward region of d+Au collisions at RHIC from the color glass condensate
• A parton shower generator based on the GLR equation
• The improved saturation model in nuclei
• Truncated BFKL Series and Hadronic Collisions
• Nuclear shadowing in deep inelastic scattering on nuclei: a closer look
• Physical limits in the Color Dipole Model Bounds
• QCD Evolution Workshop: Introduction
• Nuclear scattering configurations of onia in different frames
• Scattering from an external field in quantum chromodynamics at high energies: from foundations to interdisciplinary connections
• Rapidity dependence of the photon to pion production ratio in high energy collisions
• Heavy Quark Production in Ultra High Energy Cosmic Ray Interactions
• Heavy flavor production in pA collisions
• The two-loop Higgs impact factor
• Probing gluon number fluctuation effects in future electron-hadron colliders
• Solution to the Sudakov suppressed Balitsky-Kovchegov equation and its application to the HERA data
• The Status of Parton Saturation and the CGC
• Extended Geometric Scaling from Generalized Traveling Waves
• Structure functions from renormalization group improved small $x$ evolution
• Parametrization of the nuclear structure function
• An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method
• Color dipole cross section in the DGLAP improved saturation model
• Probing QCD dynamics in two-photon interactions at high energies
• Exclusive diffractive J/psi and Psi(2S) production in dipole model using a holographic AdS/QCD light front wavefunction with longitudinal confinement
• Multiplicity dependence of ${\chi }_c$ and ${\chi }_b$ meson production
• Exclusive vector meson production with leading neutrons in a saturation model for the dipole amplitude in mixed space
• Saturation scale fluctuations and multi-particle rapidity correlations
• Double vector meson production in the International Linear Collider
• Forward $J/\psi$ and $D$ meson nuclear suppression at the LHC
• The Weizsäcker-Williams distribution of linearly polarized gluons (and its fluctuations) at small x
• Describing F_2 through a finite sum of gluon ladders
• Color Glass Condensate meets High Twist Expansion
• BFKL ansatz for BK equation in conformal basis
• Traveling waves in discretized Balitsky-Kovchegov evolution
• Structure constants of twist-two light-ray operators in the triple Regge limit
• Impact-parameter-dependent solutions to the Balitsky-Kovchegov equation at next-to-leading order
• Chaos in the Color Glass Condensate
• Taming of preasymptotic small x evolution within resummation framework
• Infrared instability from nonlinear QCD evolution
• Hadron-nucleus scattering in the local reggeon model with pomeron loops for realistic nuclei
• Low-x QCD with CMS at the LHC
• The BMS Equation and c\bar{c} Production; A Comparison of the BMS and BK Equations
• The Emerging QCD Frontier: The Electron Ion Collider
• Distribution of multiple scatterings in proton-nucleus collisions at high energy
• Large distance behaviour of light cone operator product in perturbative and nonperturbative QCD regimes
• Diffraction, the Color Glass Condensate and String Theory
• More on eikonal approximation for high energy scattering
• Single inclusive jet transverse momentum and energy spectra at very forward rapidity in proton-proton collisions with $\sqrt{s}=7$ and 13 TeV
• Eikonal but not: a complementary view of high energy evolution
• Impact factor for high-energy two and three jets diffractive production
• Multiplicity and transverse energy of produced gluon in relativistic heavy ion collision
• Inclusive cross-sections for jet production in nucleus-nucleus collisions in perturbative QCD
• On the solution of linearized (linear in S-matrix) Balitsky-Kovchegov equation
• Effects of gluon number fluctuations on photon - photon collisions at high energies
• Running coupling and pomeron loop effects on inclusive and diffractive DIS cross sections
• Single inclusive jet photoproduction at very forward rapidities in $pp$ and $pPb$ collisions at the LHC
• High energy electroweak DVCS processes in neutrino-nucleon scattering
• Homotopy solution to non-linear evolution for heavy nuclei
• Strangeness production in high-multiplicity events
• Scattering Amplitudes in High Energy QCD
• Fragility of reaction-diffusion models to competing advective processes
• Thermal radiation and inclusive production in the running coupling $k_T$ -- factorization approach
• BFKL pomeron propagator in the external field of the nucleus
• Remarks on Diffractive Dissociation within JIMWLK Evolution at NLO
• Momentum space saturation model for deep inelastic scattering and single inclusive hadron production
• Average $p_t$ as a probe of high energy QCD dynamics
• BFKL pomeron in the external field of the nucleus in (2+1)-dimensional QCD
• Kaon production in high multiplicity events at the LHC
• Classical information entropy of parton distribution functions and an application in searching gluon saturation
• Twist decomposition of non-linear effects in Balitsky-Kovchegov evolution of proton structure functions
• The rapidity dependence of the average transverse momentum in p+p and p+Pb collisions - revisited
• SPIN Effects, QCD, and Jefferson Laboratory with 12 GeV electrons
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Resummation of projectile-target multiple scatterings and parton saturation
• Non-linear evolution of unintegrated gluon density at large values of coupling constant
• Initial conditions in AA and pA collisions
• Inelastic nuclear screening for different secondaries produced in p+Pb collisions at LHC energy
• Rapidity dependence of saturation in inclusive HERA data with the rcBK equation
• Observation of coherent $\varphi$(1020) meson photoproduction in ultraperipheral PbPb collisions at $\sqrt{s_{\text{NN}}}$ = 5.36 TeV
• Non-linear corrections to the derivative of nuclear reduced cross-section at small $x$ at a future electron-ion collider
• Exploring the DGLAP resummation in the JIMWLK Hamiltonian
• Small-$x$ evolution of dipole amplitude in momentum space: forward--off-forward correspondence
• Improving the solver for the Balitsky-Kovchegov evolution equation with Automatic Differentiation
• Gluon saturation at higher orders and improvement of kinematics
• Color dipole cross-section from unifying the color dipole picture and improved saturation models
• Predictions for the Spatial Distribution of Gluons in the Initial Nuclear State
• Investigation of proton structure function $F_2^p$ at HERA in light of an analytical solution to Balitsky-Kovchegov equation
• Azimuthal correlations of forward dijets in d+Au collisions at RHIC
• First correction to JIMWLK evolution from the classical equations of motion
• Quantum collisions of finite-size ultrarelativistic nuclei
• Second Order Twist Contributions to the Balitsky-Kovchegov Equation at small-x: Deterministic and Stochastic Pictures
• FKPP dynamics mediated by a parent field with a delay
• High-energy factorization and evolution with improved kinematics
• Two-Particle Correlations in Heavy-Light Ion Collisions
• Nuclear Shadowing and Antishadowing in a Unitarized BFKL Equation
• From RHIC to EIC: Nuclear Structure Functions
• Traveling waves and the renormalization group improved Balitsky-Kovchegov equation
• Centrality-dependent forward $J/\psi$ production in high energy proton-nucleus collisions
• Evaluating the ratio of the exclusive vector meson photoproduction to inclusive hadron/jet production cross section in ultraperipheral heavy ion collisions
• High energy DVCS on a photon and related meson exclusive production
• High Energy Collisions of Dense Hadrons in Quantum Chromodynamics : LHC Phenomenology and Universality of Parton Distributions
• Transverse Spin and Classical Gluon Fields: Combining Two Perspectives on Hadronic Structure
• Forward $J/\psi$ production in pA collisions: centrality dependence
• Novel Heavy-Quark Physics Phenomena
• Extraction of the color dipole amplitude with physics-informed neural networks
• Glauber quark and gluon contributions to quark energy loss at next-to-leading order and next-to-leading twist
• A unified description of initial and final state interactions in heavy ion collisions
• Probing nuclear structure with the Balitsky-Kovchegov equation in full impact-parameter dependence
• Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem
• Centrality dependence of forward $J/\psi$ suppression in high energy proton-nucleus collisions
• Small x evolution: BFKL vs Dipole Picture
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x
• Signatures of gluon saturation from structure-function measurements
• Four-pomeron vertex
• Coherent energy loss effects in dihadron azimuthal angular correlations in Deep Inelastic Scattering at small $x$
• Photoproduction of three jets in the CGC: gluon TMDs and dilute limit