Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-01-26
Eur.Phys.J.C16:337-347,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages in LaTex, 9 figures in Postscript. Error in Eq. (45) corrected and correspondingly Figs. 4-7 replaced
Scientific paper
10.1007/s100520050026
Equation for the sum of BFKL pomeron fan diagrams is rederived by direct summation and solved numerically for rapidities $y\leq 50$. At high rapidities y>20 the resulting cross-sections for the scattering of a longitudinally polarized $q\bar q$ pair on the nucleus cease to depend on its transverse dimension and tend to a constant limit 0.1768 $R_A^2$, which corresponds to scattering of a colour dipole on a black disk. Thus the unitarity is restored and the singularity in the j plane is reduced to a simple pole at j=1.The nuclear structure function at small x behaves as $Q^2\ln(1/x)$. The found gluon density has a soliton-like form in the $\log k$ space: its form is close to Gaussian, independent of rapidity, the centermoving towards higher $\log k$ with a nearly constant velocity as rapidity increases.
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