Modified homotopy approach for diffractive production in the saturation region
arXiv:2406.11673 · doi:10.1103/PhysRevD.110.054045
Abstract
In this paper we continue to develop the homotopy method for solving of the non linear evolution equation for the diffractive production in deep inelastic scattering(DIS). We introduce part of the nonlinear corrections as a first step of this approach. This simplified nonlinear evolution equation is solved analytically taking into account the initial and boundary conditions for the process. At the second step of our approach we demonstrated that the perturbative procedure can be used for the remaining parts of the non-linear corrections. It turns out that these corrections are small and can be estimated in the regular iterative procedure.
22 pages, 16 figures in pdf files
References in corpus (38)
- Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
- Saturation Effects in Deep Inelastic Scattering at low and its Implications on Diffraction
- Saturation in Diffractive Deep Inelastic Scattering
- Geometric scaling for the total gamma^* p cross section in the low x region
- Factorization and high-energy effective action
- Small-x physics in perturbative QCD
- The Energy Dependence of the Saturation Momentum
- Solution to the evolution equation for high parton density QCD
- The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
- On solutions of the Balitsky-Kovchegov equation with impact parameter
- New Scaling at High Energy DIS
- Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD
- Nuclear enhancement and suppression of diffractive structure functions at high energies
- Nonlinear evolution and saturation for heavy nuclei in DIS
- Diffractive Structure Function in a Quasi-Classical Approximation
- Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
- Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
- Saturation and Scaling of Multiplicity, Mean p_T and p_T Distributions from 200 GeV < sqrt{s} < 7 TeV - Addendum
- A unified description of diffractive deep inelastic scattering with saturation
- Geometric scaling in diffractive deep inelastic scattering
- Diffractive Leptoproduction of Small Masses in QCD
- Treading on the cut: Semi inclusive observables at high energy
- Diffractive photon dissociation in the saturation regime from the Good and Walker picture
- QCD Analysis of Deep Inelastic Diffractive Scattering at HERA
- Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS
- Extension of the Color Glass Condensate Approach to Diffractive Reactions
- Diffractive dissociation from non-linear evolution in DIS on nuclei
- Geometrical Scaling and the Dependence of the Average Transverse Momentum on the Multiplicity and Energy for the ALICE Experiment
- Multiparticle production in the mean field approximation of high density QCD
- Analytical asymptotics for hard diffraction
- Rapidity gap distribution in diffractive deep-inelastic scattering and parton genealogy
- Diffractive electron-nucleus scattering and ancestry in branching random walks
- Running Coupling Corrections to Nonlinear Evolution for Diffractive Dissociation
- Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region
- DGLAP evolution for DIS diffraction production of high masses
- Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation
- CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS
- Homotopy solution to non-linear evolution for heavy nuclei