The $s$-channel approach to Lipatov's pomeron and hadronic cross sections

TL;DR

This paper derives a generalized BFKL equation for the perturbative QCD component of total cross sections, successfully reproducing empirical growth rates and estimating the triple-pomeron coupling consistent with experimental data.

Contribution

It introduces a generalized BFKL equation applicable to total cross sections and provides empirical validation with gluon correlation radius and triple-pomeron coupling estimates.

Findings

Reproduces the empirical growth rate of hadron-nucleon total cross sections.

Provides an estimate of the triple-pomeron coupling consistent with experimental data.

Derives a generalized BFKL equation applicable to the perturbative QCD component.

Abstract

We derive a generalized Balitskii-Fadin-Kuraev-Lipatov equation, which applies directly to the perturbative QCD component of total cross section. With the gluon correlation radius $R_{c} \sim 0.4$f we reproduce the empirical rate of growth of the hadron-nucleon total cross sections. The simultaneous estimate of the triple-pomeron coupling also agrees with the experiment.