A QCD motivated model for soft interactions at high energies

E Gotsman,U Maor,E Levin,J S Miller

doi:10.1140/epjc/s10052-008-0704-5

E Gotsman, U Maor + Show 2 more

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https://doi.org/10.1140/epjc/s10052-008-0704-5

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Abstract

In this paper we develop an approach to soft scattering processes at high energies which is based on two elements: the Good–Walker mechanism for low mass diffraction and multi-pomeron interactions for high mass diffraction. The principal idea, which allows us to specify the theory for pomeron interactions, is that the so called soft processes occur at rather short distances (r 2 ∝1/〈p t 〉2 ∝ α′ℙ≈0.01 GeV−2), where perturbative QCD is valid. The value of the pomeron slope α′ℙ is obtained from a fit to the experimental data. Using this theoretical approach, we suggest a model that fits all soft data in the ISR-Tevatron energy range: total, elastic, single and double diffractive cross sections, as well as the t dependence of the differential elastic cross section, and the mass dependence of single diffraction. In this model we calculate the survival probability of diffractive Higgs production, and we obtain a value for this observable that is smaller than 1% at the LHC energy range.

Highlights

The goal of this paper is to construct a QCD motivated model for the strong interactions at high energy, and to elucidate the model’s predictions and implications at LHC and Cosmic Rays energies.The difficulties and challenges of a theoretical approach to the strong interaction are well known: a qualitative understanding of the confinement of quarks and gluons in QCD
For the past four decades, the accepted method of describing soft interactions at high energy, is the phenomenology based on the soft Pomeron and secondary Reggeons
The fit is based on 55 experimental data points, which includes the p-p and p-p total cross sections, integrated elastic cross sections, integrated single and double diffraction cross sections, and the forward slope of the elastic cross section in the ISR-Tevatron energy range

Summary

Introduction

The goal of this paper is to construct a QCD motivated model for the strong interactions at high energy, and to elucidate the model’s predictions and implications at LHC and Cosmic Rays energies.The difficulties and challenges of a theoretical approach to the strong interaction are well known: a qualitative understanding of the confinement of quarks and gluons in QCD. For the past four decades, the accepted method of describing soft interactions at high energy, is the phenomenology based on the soft Pomeron and secondary Reggeons The key problem of all approaches based on the soft Pomeron hypothesis, is that there is no theory which can specify what kind of interactions between Pomerons have to be taken into account, as well as the values of the multi-Pomeron vertices. Due to this problem we are doomed to build basically unreliable models, since the only criteria is that they describe the experimental data Due to this problem we are doomed to build basically unreliable models, since the only criteria is that they describe the experimental data (see Refs. [4,5,6,7])

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