The spectrum and solutions of the generalized BFKL equation for total cross section

TL;DR

This paper explores the generalized BFKL equation for the dipole cross section in diffractive scattering, incorporating finite gluon correlation radius effects, and provides estimates for the pomeron intercept and asymptotic behavior.

Contribution

It introduces a gauge-invariant formulation of the generalized BFKL equation with finite gluon correlation radius and analyzes its properties and solutions.

Findings

Estimate of the pomeron intercept

Asymptotic form of the dipole cross section

Impact of finite gluon correlation radius

Abstract

The colour dipole cross section is the principal quantity in the lightcone $s$-channel description of the diffractive scattering. Recently we have shown that the dipole cross section satisfies the generalized BFKL equation. In this paper we discuss properties and solutions of our generalized BFKL equation with allowance for the finite gluon correlation radius $R_{c}$. The latter is introduced in a gauge invariant manner. We present estimates of the intercept of the pomeron and find the asymptotic form of the dipole cross section.