Correlations among elastic and inelastic cross-sections and slope parameter

Abstract

We discuss the unitarity motivated relations among the elastic cross-section, slope parameter and inelastic cross-section of the high energy \textit{pp} interaction. In particular, the MacDowell-Martin unitarity bound is written down in another form to make a relation between the elastic and inelastic quantities more transparent. On the basis of an unitarity motivated relation we argue that the growth with energy of the elastic to total cross-section ratio is a consequence of the increasing with energy of the \textit{inelastic interaction intensity}. The latter circumstance is an underlying reason for the acceleration of the slope parameter growth, for the slowing of the growth of the elastic to total cross-section ratio and for other interesting phenomena, which are observed in the TeV energy range. All of this confirms the old idea that the elastic scattering is a shadow of the particle production processes.

16 pages, 6 figures

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Cited by in corpus (3)

• Black disk radius constrained by unitarity
• Two diffraction cones of elastic scattering and structural symmetry conjecture
• Signs of universality in the behavior of elastic $\text{pp}$ scattering cross-sections at high energies