Abstract

We present our first attempt to develop a model for soft interactions at high energy, based on the BFKL Pomeron and the CGC/saturation approach. We construct an eikonal-type model, whose opacity is determined by the exchange of the dressed BFKL Pomeron. The Green's function of the Pomeron is calculated in the framework of the CGC/saturation approach. Using five parameters we achieve a good description of the experimental data at high energies ( $W\,\geq\,0.546\,TeV$). The model results in different behaviour for the single and double diffraction cross sections at high energies. The single diffraction cross section reaches a saturated value (about 10 mb) at high energies, while the double diffraction cross section continues growing slowly

Highlights

  • From Eq (1.1) it is obvious that the BFKL Pomeron is not a pole in angular momentum but a branch cut, since its Y-dependence has an additional ln s term; it does not reproduce the exponential decrease at large b, which follows from the general properties of analyticity and unitarity [41,42]; as the exchange of the BFKL Pomeron depends on the sizes of the dipoles, the BFKL Pomeron does not factorize

  • In this paper we present a first attempt to develop a consistent approach based on the BFKL Pomeron and the CGC/saturation approach for soft interactions at high energy

  • We follow our general strategy for constructing models for strong interactions at high energy i.e. to maximize the theoretical ingredients, and to minimize the number of phenomenological parameters

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Summary

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The LHC data supports the assumption that dense systems of partons (gluons) are produced in the proton–proton interactions at high energy Such a system of partons appears naturally in the CGC/saturation approach [47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66], and it provides a successful description of the general properties of the average event at the LHC [67,68,69,70,71], and of the long range rapidity angular correlations [72,73,74]. This strategy allows us to treat the Pomeron interactions, and to include the saturation phenomenon, which was beyond the scope of our previous model

Parton cascade of one dipole in the saturation region
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Dressed Pomeron
Interaction of dressed Pomerons
Single diffraction
Phenomenological parameters
Cross sections and the values of the parameters
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Partial amplitudes
Comparison with other models on the market
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Conclusions
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Full Text
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