The black disk and the dip in the differential elastic cross section at asymptotic energy

Abstract

We test the validity of the black disk limit in elastic scattering by studying the evolution of the dip in the scaling variable $\tau =-t_D{\sigma }^{tot}$, where $t_D$ is the transverse momentum squared at the dip and ${\sigma }_{tot}$ the total cross section. As $s\to \infty$ and $-t_D\to 0$, $\tau$ may consistently be approaching the black disc value, $\tau \underset{\sqrt{s}\to \infty }{\to }{\tau }_{BD}=35.92$ GeV${}^2$ mb.

6 pages, 2 figures

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Cited by in corpus (6)

• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Elastic pp scattering from the optical point to past the dip: an empirical parametrization from ISR to LHC
• Excitation function of elastic $pp$ scattering from a unitarily extended Bialas-Bzdak model
• Excitation function of elastic $pp$ scattering from a unitarily extended Bialas-Bzdak model
• Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
• Hadronic total cross sections at high energy and the QCD spectrum