ENERGY EVOLUTION EQUATION FOR ELASTIC SCATTERING AMPLITUDES OF HADRONS IN b-SPACE

Basing our study on the Regge field theory, we formulate and solve numerically an energy evolution equation for the complex elastic scattering amplitude. The equation is a complex version of the Fisher-Kolmogorov-Petrovsky-Piscounov equation in the impact parameter space. We compare the resulting amplitudes with the experimental data, numerically demonstrate the existence of the fixed points, and discuss the recently discovered scaling.