No abstract

We discuss the role of the impact--parameter dependent quantities. Their use along with the available experimental data on elastic scattering at the LHC could serve for an additional insight into the asymptotics.Comment: 8 pages, no figures, final version to be published in Phys. Rev.

We discuss geometrical picture of hadron interactions and, in particular, the presence of energy--invariant edge in elastic scattering resulting from a transition to the reflective scattering mode which is supported by the recent LHC data. The energy-invariant edge represents a black ring around the reflecting disk.Comment: 8 pages, no figure

Implications of the recent measurements of the parameter ρ(s) (ratio of the real to imaginary parts of the forward scattering elastic amplitude) by TOTEM collaboration at √ s = 13 T eV are discussed with emphasis on the rising energy dependence of the ratio of elastic to total cross-sections.

We note that the diffraction cone shrinkage might result from unitarization only, i.e. there is no need to introduce it into an input amplitude ab initio.