https://doi.org/10.1007/s100529900154
Theoretical physics
Where is the black disc limit?
Institut de Physique Nucléaire de Lyon, IN2P3-CNRS et Université Claude Bernard, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France (e-mail: desgrolard@ipnl.in2p3.fr)
, FR
Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 252143 Kiev, Ukraine (e-mail: jenk,eppaitp@bitp.kiev.ua)
, UA
Received:
8
May
1999
Published online:
22
October
1999
By using realistic models for elastic hadron scattering, we demonstrate that at present accelerator energies the s-channel unitarity bound is safe, not to be reached before 
GeV, while the black disc limit is saturated around 6 TeV. By increasing the energy, a larger transparency of the scattered particles near the center, surrounded by a black ring, is expected. Unitarity effects are incorporated and their effects are studied both in a phenomenological and formal, analytical way.
© Springer-Verlag Berlin Heidelberg, 1999
