Abstract
In this paper we continue our program to build a model for high energy soft interactions, that is based on the CGC/saturation approach.The main result of this paper is that we have discovered a mechanism that leads to large long range rapidity correlations, and results in large values of the correlation function $R\Lb y_1,y_2\Rb \,\geq \,1$, which is independent of $y_1$ and $ y_2$. Such behaviour of the correlation function, provides strong support for the idea, that at high energies the system of partons that is produced, is not only dense, but also has strong attractive forces acting between the partons.
Highlights
Where BFKL denotes the intercept of the BFKL Pomeron
The value of m = 5.25 GeV in our model justifies our main assumption that BFKL Pomeron calculus based on a perturbative QCD approach is able to describe soft physics, since m μsoft, where μsoft denotes the natural scale for soft processes
The main result of this paper, is that in our model, which is based on the CGC/saturation approach, we have discovered a mechanism that produces large, long range rapidity correlations at high energies
Summary
Where Y denotes the total rapidity of the colliding particles, and y is the rapidity of produced hadron. Examining this diagram, we see that the contribution to the double inclusive cross section differs from the product of two single inclusive cross sections. The main theoretical assumption that we make in calculating the correlation in a one parton shower, is that the Mueller diagram technique [81], and the AGK cutting rules [87] are valid. It is instructive to write the expression for the first Mueller diagram in the following form (see Fig. 6a): d2σsoennhe parton shower dy dy2. We could expect that the semi-enhanced diagrams give a larger contribution to the double inclusive cross section than the production from two parton showers.
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