PARTON DENSITIES IN A NUCLEON

In this paper we re-analyze the situation with the shadowing correctio ns (SC) in QCD for the proton deep-inelastic structure functions. We r econsider the Glauben-Mueller approach for the SC in deep-inelastic sc attering (DIS) and suggest a new non-linear evolution equation, We arg ue that this equation solves the problem of the SC in the wide kinemat ic region where alpha(s) kappa = alpha(s) (3 pi alpha(s)/2Q(2)R(2))xG( x, Q(2)) less than or equal to 1. Using the new equation we estimate t he value of the SC which turn out to be essential in the gluon deep-in elastic structure function but rather small in F-2(x Q(2)). We claim t hat the SC in xG(x, Q(2)) is so large that the BFKL Pomeron is hidden under the SC and cannot be seen even in such ''hard'' processes that h ave been proposed to test it, We found that the gluon density is propo rtional to ln(1/x) in the region of very small x, This result means th at the gluon density does not reach saturation in the region of applic ability of the new evolution equation. It should be confronted with th e solution of the GLR equation which leads to saturation, (C) 1998 Pub lished by Elsevier Science B.V.