The black disk to be observed in the Orear region

TL;DR

The paper discusses how the approach to the black disk limit in hadron collisions might be observed through changes in the elastic scattering differential cross section, transitioning from exponential decay to oscillations or power-law falloff.

Contribution

It proposes that initial signs of reaching the black disk limit can be detected in the elastic scattering differential cross section behavior at high energies.

Findings

Potential observation of oscillatory behavior in differential cross section

Estimates of energies where black disk signatures may appear

Transition from exponential to power-law falloff predicted

Abstract

It is argued that the very first signatures of the approach to the black disk asymptotical limit in hadron collisions may be observed in the differential cross section of elastic scattering. The exponentially decreasing with the angle (or $\sqrt {|t|}$) regime beyond the diffraction peak will become replaced by an oscillatory behavior or by the power-like falloff. Some estimates of energies where this can happen are presented.