Nonperturbative Effects in Gluon Radiation and Photoproduction of Quark Pairs

Abstract

We introduce a nonperturbative interaction for light-cone fluctuations containing quarks and gluons. The $\bar{q}q$ interaction squeezes the transverse size of these fluctuations in the photon and one does not need to simulate this effect via effective quark masses. The strength of this interaction is fixed by data. Data on diffractive dissociation of hadrons and photons show that the nonperturbative interaction of gluons is much stronger. We fix the parameters for the nonperturbative quark-gluon interaction by data for diffractive dissociation to large masses (triple-Pomeron regime). This allows us to predict nuclear shadowing for gluons which turns out to be not as strong as perturbative QCD predicts. We expect a delayed onset of gluon shadowing at $x\le 10^{-2}$ shadowing of quarks. Gluon shadowing turns out to be nearly scale invariant up to virtualities $Q^2\sim 4Ge{V}^2$ due to presence of a semihard scale characterizing the strong nonperturbative interaction of gluons. We use the same concept to improve our description of gluon bremsstrahlung which is related to the distribution function for a quark-gluon fluctuation and the interaction cross section of a $\bar{q}qG$ fluctuation with a nucleon. We expect the nonperturbative interaction to suppress dramatically the gluon radiation at small transverse momenta compared to perturbative calculations.

58 pages of Latex including 11 figures. Shadowing for soft gluons and Fig. 6 are added as well as a few references

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• Parton Saturation at Small x and in Large Nuclei
• Nuclear Deep-Inelastic Lepton Scattering and Coherence Phenomena
• Toward Equilibration in the Early Stages After a High Energy Heavy Ion Collision
• Transverse Momentum Dependence of the Landau-Pomeranchuk-Migdal Effect
• Charmonium suppression by gluon bremsstrahlung in p-A and A-B collisions

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