Gluon saturation and the Froissart bound: a simple approach

Abstract

At very high energies we expect that the hadronic cross sections satisfy the Froissart bound, which is a well-established property of the strong interactions. In this energy regime we also expect the formation of the Color Glass Condensate, characterized by gluon saturation and a typical momentum scale: the saturation scale $Q_s$. In this paper we show that if a saturation window exists between the nonperturbative and perturbative regimes of Quantum Chromodynamics (QCD), the total cross sections satisfy the Froissart bound. Furthermore, we show that our approach allows us to describe the high energy experimental data on $pp/p\bar{p}$ total cross sections.

6 pages, 5 figures. Includes additional figures, discussion and references

References in corpus (4)

• Geometric scaling violations in the central rapidity region of d+Au collisions at RHIC
• Geometric scaling in diffractive deep inelastic scattering
• Saturation physics at HERA and RHIC: An unified description
• Investigating F_L(x,Q2) at fixed energy in the color dipole formalism

Cited by in corpus (11)

• The nuclear configurational entropy impact parameter dependence in the Color-Glass Condensate
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• Investigating the inclusive transverse spectra in high-energy $pp$ collisions in the context of geometric scaling framework
• Improvements to the Froissart bound from AdS/CFT
• Entropy from entangled parton states and high-energy scattering behavior
• Self-similarity and the Froissart bound
• Soft diffraction within the QCD color dipole picture
• Multiplicity Distributions and the Frontier between Soft and Hard Physics
• Transverse Momentum Dependent Parton Density Functions and a Self-similarity based Model of Proton Structure Function F2(x,Q2) at Large and Small x
• Froissart bound and self-similarity based models of proton structure functions
• The energy dependence of the multiplicity moments at the LHC