Universal function of the diffractive process in color dipole picture

Z Jalilian,G R Boroun

doi:10.1088/1674-1137/abca2c

Abstract

In this study, we obtain the universal function corresponding to the diffractive process and show that the cross section exhibits geometrical scaling. It is observed that diffractive theory according to the color dipole approach at small-x is a convenient framework that reveals the color transparency and saturation phenomena. We also calculate the contribution of heavy quark production in the diffractive cross section at high energy that is determined by the small size dipole configuration. The ratio of the diffractive cross section to the total cross section in electron-proton collision is the other important quantity that is computed in this work.

Highlights

The color dipole formalism in QCD prediction for high energy deep inelastic scattering at small-x has promoted a lot of phenomenological activity successfully, in recent years
The saturation effect in x < 0.01 dominates by the gluon dynamics that describes the details of the electronproton collision data collected at HERA well [1,2,3,4]
At small-x a diffractive process in DIS, in the electron-proton collision, occurs in the form of eP −→ eXP. The dynamics behind this event is justified if we review it in the rest frame of the proton

Summary

INTRODUCTION

The color dipole formalism in QCD prediction for high energy deep inelastic scattering at small-x has promoted a lot of phenomenological activity successfully, in recent years. From the perspective of the color dipole approach we can express: when x −→ 0, in the rest frame of the target, the virtual photon splits up to a quark-antiquark pair before the scattering tagged with Fock eigenstate |qq. This eigenstate is expressed by the quantum mechanical. That’s mean the diffractive cross section is a quantum mechanics summation over the effective dipole cross section square, σq2qP (x, r2), for different Fock states [16].

THE DIFFRACTIVE UNIVERSAL FUNCTION

THE CONTRIBUTION OF HEAVY QUARKS IN THE DIFFRACTIVE PROCESS

Findings

SUMMARY