Prelude.It was in September 1954 when I met Pomeranchuk. He lectured Theory of Relativity. Next year he became a tutor of our "theoretical group". In some time he proposed me to learn the book of Flügge on nuclear physics. After struggling with difficult subject written in German I asked him some questions. He liked it and one by one proposed several problems to be solved. In parallel, he insisted on passing through the series of famous Landau exams. It was a good school. Its lessons I described in the book of reminiscences about Pomeranchuk. As a supervisor, he advised my diploma paper to be published in JETP Letters and recommended me to Prof. Tamm as a PhD student. Soon I proposed the one-pion exchange model which was later extended to multiperipheral and multireggeon models. Pomeranchuk got interested in it and asked me to come for discussion. He was deeply interested in properties of hadron collisions. Our contacts lasted till his death.In this paper I describe some new findings about elastic scattering of hadrons studied now up to LHC energies. I briefly reviewed this at the Pomeranchuk centennial seminar at ITEP. This would be extremely interesting subject for him. Let me just mention Pomeron and famous Pomeranchuk theorem to remind you his basic contributions in this field. I dedicate the paper to the memory of my teacher Isaak Pomeranchuk.
AbstractWhen colliding, the high energy hadrons can either produce new particles or scatter elastically without change of their quantum numbers and other particles produced. Namely elastic scatterings of hadrons are considered in this paper. The general machinery of their theoretical treatment is described. Some new experimental data are presented and confronted to phenomenological approaches. The internal structure of hadrons is the main subject of these studies. Its impact on properties of their interactions is reviewed. It is shown that protons become larger and darker with increase of their collision energy and reveal some substructure. The violation of the geometric scaling in the diffraction cone and new problems of description of differential cross sections outside it are described.