Eikonal Regge Fits to Small-Angle Elastic Scattering Data

Abstract

A fit is made to the elastic scattering data at $|t|\ensuremath{\lesssim}0.1$ Ge${\mathrm{V}}^{2}$ for the reactions ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$, ${K}^{\ifmmode\pm\else\textpm\fi{}}p$, $\mathrm{pp}$, and $\mathrm{pp}$, employing the eikonal Regge model of Frautschi and Margolis. It is shown that the model is capable of explaining all aspects of the existing data, with the exception of the ${\ensuremath{\pi}}^{\ensuremath{-}}p$ total cross section, where our fit does not flatten out as much as the high-energy results from Serpukhov. Extrapolating to still higher energies, we predict that the $\mathrm{pp}$ total inelastic cross section should increase by 15% from 10 GeV to ${10}^{3}$ GeV, a result of interest in connection with recent cosmic-ray observations by Grigorov et al.