Abstract
The very-small-{ital x} behavior of the gluon distribution in a proton is obtained by solving the Lipatov equation with the nonlinear shadowing term incorporated. We find, with decreasing {ital x}, the emergence of an {ital x}{sup {minus}{lambda}} behavior {ital and} he eventual taming of this singular behavior by the shadowing term. We compare our dynamically generated gluon distribution with (i) the results of a recent next-to-leading order QCD structure function analysis which incorporated both a singular {ital x}{sup {minus}1/2} behavior and shadowing corrections, and (ii) the double-leading-logarithm approximation. We formulate the semiclassical approximation of the Lipatov equation, with and without shadowing contributions, in order to compare with earlier analyses based on this approximation.
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