1212.1764 (I. Bautista et al.)

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

I. Bautista, J. Dias de Deus

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\rightarrow \infty $ and $-t_{D} \rightarrow 0 $, $\tau$ may consistently be approaching the black disc value, $\tau \xrightarrow[ \sqrt{s}\rightarrow \infty ]{} \tau_{BD}=35.92$ GeV$^{2}$ mb.

View original: http://arxiv.org/abs/1212.1764