Scaling laws for the elastic-scattering amplitude
Lebedev Physical Institute - Moscow 119991, Russia
Received: 15 September 2012
Accepted: 24 November 2012
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 the preasymptotical region and the modifications of the scaling laws for the differential cross-section are considered.
PACS: 13.85.Dz – Elastic scattering / 11.55.Fv – Dispersion relations
© EPLA, 2012