BFKL Pomeron: modeling confinement

Abstract

In this paper we introduce the confinement into the kernel of the BFKL equation,assuming that the sizes of produced dipoles cannot be large. The goal of this paper is to find how this assumption, which leads to a correct exponential decrease of the amplitude at large impact parameters, affects the main properties of the BFKL Pomeron. We solve the equations for total cross section and $<|b^2|>$ numerically and developed some methods of analytical solutions. The main result is that the modified BFKL Pomeron has the same intercept and $α'_\pom = 0$ as the BFKL Pomeron.It gives us a hope that the unknown confinement will change only slightly the equations of the CGC/saturation approach

22pp, 23 figures in .eps files

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Cited by in corpus (8)

• BFKL Pomeron with massive gluons
• A model for strong interactions at high energy based on the CGC/saturation approach
• Gribov-Zwanziger confinement, high energy evolution and large impact parameter behaviour of the scattering amplitude
• Large $\mathbf{b}$ behaviour in the CGC/saturation approach: BFKL equation with pion loops
• BFKL equation in the next-to-leading order: solution at large impact parameters
• Large impact parameter behaviour in the CGC/saturation approach: a new non-linear equation
• BFKL equation with running QCD coupling and HERA data
• High energy evolution for Gribov-Zwanziger confinement: solution to the equation