Some applications of the Eikonal model with Coulomb and curvature corrections in $pp$ and $\bar{p}p$ scattering

Using a simple eikonal approach to the treatment of Coulomb-nuclear interference and form-factors effects and taking into account the curvature effects in high-energy $pp$ and $\bar{p}p$ scattering, we determine the basic parameters $B$, $\rho$ and ${\sigma }_{\mathrm{t}\mathrm{o}\mathrm{t}}$ from fits to experiment at $W=\sqrt{s}=$ 53 GeV, 62.3 GeV, 8 TeV, and 13 TeV. We then investigate the differential cross sections in the dip region for $pp$ and $\bar{p}p$ elastic scattering at $W=$ 53 GeV and 1.96 TeV. We find that the results of the basic parameters calculated using the simple eikonal approach agree well with the values determined in other analyses. We find that Coulomb effects are significant in the dip region at 53 GeV and 1.96 TeV, and must be taken into account in searches for odderon effects through cross section differences in that energy region.