Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD

TL;DR

This paper derives an evolution equation for high energy diffractive dissociation in deep inelastic scattering, incorporating multiple Pomeron exchanges, and predicts a potential maximum in the cross section at certain rapidity gaps.

Contribution

It introduces a new evolution equation that resums multiple Pomeron exchanges for diffractive processes at high energies in QCD.

Findings

Cross section may reach a local maximum at intermediate rapidity gaps.

Equation accounts for multiple Pomeron exchanges in high density QCD.

Potential implications for understanding diffractive scattering at high energies.

Abstract

We derive an evolution equation describing the high energy behavior of the cross section for the single diffractive dissociation in deep inelastic scattering on a hadron or a nucleus. The evolution equation resums multiple BFKL pomeron exchanges contributing to the cross section of the events with large rapidity gaps. Analyzing the properties of an approximate solution of the proposed equation we point out that at very high energies there is a possibility that for a fixed center of mass energy the cross section will reach a local maximum at a certain intermediate size of the rapidity gap, or, equivalently, at some non-zero value of the invariant mass of the produced particles.