The nucleus-nucleus scattering amplitude deep in the saturation region reduces to the single nucleon-nucleon term and therefore has the same energy dependence as dipole-dipole scattering.
Pomeron loops in zero transverse dimensions
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abstract
We analyze a toy model which has a structure similar to that of the recently found QCD evolution equations, but without transverse dimensions. We develop two different but equivalent methods in order to compute the leading-order and next-to-leading order Pomeron loop diagrams. In addition to the leading-order result which has been derived from Mueller's toy model~\cite% {Mueller:1994gb}, we can also calculate the next-to-leading order contribution which provides the $(\alpha_{s}^{2}\alpha Y)$ correction. We interpret this result and discuss its possible implications for the four-dimensional QCD evolution.
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Summing large Pomeron loops in the saturation region: nucleus-nucleus collision
The nucleus-nucleus scattering amplitude deep in the saturation region reduces to the single nucleon-nucleon term and therefore has the same energy dependence as dipole-dipole scattering.