Abstract

High energy (CERN SPS and LHC) $pp$ ($p\bar p$) scattering is treated in the framework of Additive Quark Model together with Pomeron exchange theory. The reasonable agreement with experimental data is achieved both for the elastic scattering and for the diffractive dissociation with natural parameters for the strong matter distribution inside proton.

Highlights

  • In our previous paper [5] we described elastic pp ( p p) scattering including the recent LHC data in terms of a simple Regge exchange approach in the framework of the Additive Quark Model (AQM) [6,7]

  • In the present paper we extend our description to the processes of single and double diffractive dissociation

  • The constituent quarks play the roles of incident particles in terms of which pp scattering is described in AQM [6]

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Summary

Introduction transforms with the energy growth into σ tot pp

In the present calculations we assume that the LHC energies are not high enough for Gribov universality. 2. The formalism used to describe single and double diffractive dissociation is presented, while the obtained numerical results are compared with the experimental data in Sect. In our previous paper [5] we described elastic pp ( p p) scattering including the recent LHC data in terms of a simple Regge exchange approach in the framework of the Additive Quark Model (AQM) [6,7]. In the present paper we extend our description to the processes of single and double diffractive dissociation. The constituent quarks play the roles of incident particles in terms of which pp (or π p) scattering is described in AQM [6]. 2 p the AQM relations between the cross sections are modified by Gribov universality [10]

Elastic scattering amplitude in AQM
Cross section of single and double diffractive dissociation
Numerical calculations
Conclusion
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