High Density Parton Shadowing Corrections in DIS Scaling Violations
  The description of the dynamics at high density parton regime is one of the main open questions of the strong interactions theory. In this paper we address the shadowing corrections (SC) in the scaling violations of the $F_2$ structure function using the eikonal approach. We propose a procedure to estimate the distinct contributions to the SC for $F_2$ and its slope and show that the recent ZEUS data can be described if the SC in the quark and gluon sectors are considered. The radius dependence of the SC is estimated. Moreover, we calculate the superior limit above which the unitarity corrections cannot be disregarded at low $Q^2$ and show that the recent HERA data overcomes this bound. 
M. B. Gay Ducati and V. P. Goncalves