Break structure of forward peaks of elastic pp and p-barp scattering at high energies.

Abstract

We examine the implication of the unitarity bounds for the differential cross section to the break structure of the forward peak of elastic pp and p\ifmmode\bar\else\textasciimacron\fi{}p scattering observed at the squared momentum transfer \ensuremath{\Vert}t\ensuremath{\Vert}=0.1--0.15 (GeV/c${)}^{2}$ at high energies. The break is suggested to occur at around 8.8/${\mathit{R}}_{0}^{2}$\ensuremath{\Vert}t\ensuremath{\Vert}14.7/${\mathit{R}}_{0}^{2}$, ${\mathit{R}}_{0}$ being the interaction radius given in terms of ${\mathrm{\ensuremath{\sigma}}}_{\mathit{t}}^{2}$/${\mathrm{\ensuremath{\sigma}}}_{\mathrm{el}}$. This fits well with the experimental data of pp scattering in the energy region \ensuremath{\surd}s =10--60 GeV and p\ifmmode\bar\else\textasciimacron\fi{}p in 10--546 GeV. Scaling with the variable t${\mathrm{\ensuremath{\sigma}}}_{\mathit{t}}^{2}$/${\mathrm{\ensuremath{\sigma}}}_{\mathrm{el}}$ is discussed.