The emergent black ring: a note on increasing ratio $σ_{el}(s)/σ_{tot}(s)$ at the LHC

Abstract

We discuss the relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Considerations are based on the unitarity arguments. It is shown that the redistribution of the total interaction probability between the elastic and inelastic interactions can lead to increasing ratio of σ el (s)/σ tot (s) at the LHC energies in presence of the reflective scattering mode. The form of the inelastic overlap function becomes peripheral due to the negative feedback. In the absorptive 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 case. A short notice is also given on the slope parameter and the leading contributions to its energy dependence in the both modes.