Soft Pomeron in the Colour Glass Condensate approach

Abstract

In this paper we suggest a new approach to the structure of the soft Pomeron: based on the $t$-channel unitarity, we expressed the exchange of the soft Pomeron through the interaction of the dipole of small size of the order of $1/Q_s(Y)$ ($Q_s(Y)$ is the saturation momentum) with the hadrons. Therefore, it is shown that the typical distances in soft processes are small $r \sim 1/Q_s\Lb \h Y \Rb $, where $Y=lns$. The saturation momentum, which determines the energy dependence of the scattering amplitude is proportional to $ Q^2_s\Lb \h Y \Rb \propto\,\exp\Lb\h λ\,Y\Rb$, with $\lambda \approx 0.2$, and this behaviour is in perfect agreement with phenomenological Donnachie-Landshoff Pomeron. We demonstrate that the saturation models could describe the experimental data for ${\sigma }_{tot},{\sigma }_{el},{\sigma }_{diff}$ and $B_{el}$. Hence our approach is a good first approximation to start discussion of the soft processes in CGC approach on the solid theoretical basis.

arXiv comment19pp 28 figures in pdf files

References in corpus (99)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• 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 Wilson renormalization group for low x physics: towards the high density regime
• Green's Functions in the Color Field of a Large Nucleus
• The BFKL Equation from the Wilson Renormalization Group
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• The Renormalization Group Equation for the Color Glass Condensate
• Saturation in Diffractive Deep Inelastic Scattering
• 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
• 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
• Unitarity and the BFKL Pomeron
• A Modification of the Saturation Model: DGLAP evolution
• Factorization and high-energy effective action
• Small-x physics in perturbative QCD
• Gauge invariant effective action for high-energy processes in QCD
• The Energy Dependence of the Saturation Momentum
• Geometric Scaling above the Saturation Scale
• Fock Space Distributions, Structure Functions, Higher Twists and Small x
• AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Measurement of inelastic, single- and double-diffraction cross sections in proton-proton collisions at the LHC with ALICE
• Structure function of the nucleus in the perturbative QCD with $N_c\to \infty$ (BFKL pomeron fan diagrams)
• Impact-parameter dependent Color Glass Condensate dipole model and new combined HERA data
• Impact parameter dependent colour glass condensate dipole model
• Vector potential versus colour charge density in low-x evolution
• Nuclear enhancement of universal dynamics of high parton densities
• Small-x physics beyond the Kovchegov equation
• Unitarity Corrections in High Energy QCD
• A Langevin equation for high energy evolution with pomeron loops
• QCD saturation at the LHC: comparisons of models to p+p and A+A data and predictions for p+Pb collisions
• Studies of Unitarity at Small~$x$ Using the Dipole Formulation
• Large multiplicity fluctuations and saturation effects in onium collisions
• Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD
• Extension of the JIMWLK Equation in the Low Gluon Density Region
• Exclusive diffractive processes in electron-ion collisions
• Nuclear enhancement and suppression of diffractive structure functions at high energies
• Incoherent diffractive J/Psi-production in high energy nuclear DIS
• Towards a symmetric approach to high energy evolution: generating functional with Pomeron loops
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• Non-linear evolution in QCD at high-energy beyond leading order
• Effective Hamiltonian for QCD evolution at high energy
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• CGC predictions for p+A collisions at the LHC and signature of QCD saturation
• Nonlinear QCD Evolution: Saturation without Unitarization
• Rare fluctuations and the high-energy limit of the S-matrix in QCD
• Non-linear QCD evolution with improved triple-pomeron vertices
• A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei
• Nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• Froissart Bound from Gluon Saturation
• Interactions of Reggeized Gluons in the Möbius Representation
• From target to projectile and back again: selfduality of high energy evolution
• No Froissart Bound from Gluon Saturation
• Saturation models of HERA DIS data and inclusive hadron distributions in p+p collisions at the LHC
• Perturbative Saturation and the Soft Pomeron
• Gluon saturation in $pA$ collisions at the LHC: KLN model predictions for hadron multiplicities
• Balitsky's hierarchy from Mueller's dipole model and more about target correlations
• Pomeron Vertices in Perturbative QCD in Diffractive Scattering
• Conformal invariant pomeron interaction in the perurbative QCD with large N_c
• Nucleus-nucleus interaction in the perurbative QCD
• Measurement of diffraction dissociation cross sections in pp collisions at sqrt(s) = 7 TeV
• First measurement of elastic, inelastic and total cross-section at $\sqrt{s}=13$ TeV by TOTEM and overview of cross-section data at LHC energies
• High-enegy effective action from scattering of QCD shock waves
• Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution
• Conformal Invariance and the exact solution of BFKL equations
• Summing Pomeron loops in the dipole approach
• Effective Action for Multi-Regge Processes in QCD
• Diffractive Dissociation and Eikonalization in High Energy pp and p $\bar{p}$ Collisions
• Reggeon Field Theory for Large Pomeron Loops
• Symmetry Properties of the Effective Action for High-Energy Scattering in QCD
• Inclusive Gluon Production In High Energy Onium-Onium Scattering
• QCD Reggeon Field Theory for every day: Pomeron loops included
• On the Probabilistic Interpretation of the Evolution Equations with Pomeron Loops in QCD
• High energy amplitude in the dipole approach with Pomeron loops: asymptotic solution
• A zero-dimensional model for high-energy scattering in QCD
• Gluon Reggeization in Yang-Mills Theories
• From bubbles to foam: dilute to dense evolution of hadronic wave function at high energy
• Reggeization in High Energy QCD
• CGC/saturation approach: secondary Reggeons and $\rho =Re/Im$ dependence on energy
• Dipole-dipole scattering in CGC/saturation approach at high energy: summing Pomeron loops
• Multiparticle production in the mean field approximation of high density QCD
• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
• CGC/saturation approach: a new impact-parameter dependent model
• Reggeon Field Theory and Self Duality: Making Ends Meet
• The JIMWLK evolution and the s-channel unitarity
• CGC/saturation approach: soft interaction at the LHC energies
• Large $\mathbf{b}$ behaviour in the CGC/saturation approach: BFKL equation with pion loops
• Dynamics of diffractive dissociation
• Large impact parameter behaviour in the CGC/saturation approach: a new non-linear equation
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation

Cited by in corpus (1)

• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data