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A note on the relations between elastic and inelastic interactions and increasing ratio σel(s)/σtot(s) at the LHC

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We comment briefly on relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Those are based on the unitarity arguments. It… Click to show full abstract

We comment briefly on relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Those are based on the unitarity arguments. It is shown that the redistribution of the probabilities of the elastic and inelastic interactions (the form of the inelastic overlap function becomes peripheral) under the reflective scattering mode can lead to increasing ratio of [Formula: see text] at the LHC energies. In the shadow scattering mode, the mechanism of this increase is a different one, since the impact parameter dependence of the inelastic interactions probability is central in this mode. A short notice is also given on the slope parameter and the leading contributions to its energy dependence in both modes.

Keywords: relations elastic; inelastic interactions; increasing ratio; elastic inelastic; note relations; interactions increasing

Journal Title: Modern Physics Letters A
Year Published: 2019

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