Scaling laws for the elastic scattering amplitude
  The partial differential equation for the imaginary part of the elastic scattering amplitude is derived. It is solved in the black disk limit. The asymptotical scaling behavior of the amplitude coinciding with the geometrical scaling is proved. Its extension to preasymptotical region and modifications of scaling laws for the differential cross section are considered. 
I. M. Dremin, A. A. Radovskaya
hep-ph hep-ex