Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-01-06
Nucl.Phys. A742 (2004) 55-79
Physics
High Energy Physics
High Energy Physics - Phenomenology
26 pages with 19 figures in eps.files
Scientific paper
10.1016/j.nuclphysa.2004.05.018
A numerical solution is presented for the non-linear evolution equation that governs the dynamics of high parton density QCD. It is shown that thesolution falls off as $e^{-b/R}$ at large values of the impact parameter $b$. The power-like tail of the amplitude appears in impact parameter distributions only after the inclusion of dipoles of size larger than the target, a configuration for which the non-linear equation is not valid. The value, energy and impact parameterof the saturation scale $Q_s(y=\ln(1/x),b)$) are calculated both for fixed and running QCD coupling cases. It is shown that the solution exhibits geometrical scaling behaviour. The radius of interaction increases as the rapidity in accordance with the Froissart theorem. The solution we obtain differs from previous attempts, where an anzatz for $b$ behaviour was made. The solutions for running and fixed $\as$ differ. For running $\as$ we obtain a larger radius of interaction (approximately twice as large), a steeper rapidity dependence, and a larger value of the saturation scale.
Maor Uri
Naftali E.
~Gotsman E.
~Kozlov M.
~Levin E.
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