Energy evolution of the overlap functions: increasing ratio of ${\sigma }_{el}(s)/{\sigma }_{tot}(s)$ and black ring emergence

Abstract

We analyse the two possible options of the energy dependency of the elastic and inelastic overlap functions. These correspond to saturation of the black disk limit (BEL effect) and to the unitarity saturation (REL effect) at $s\to \infty$. Relation of the REL effect to increase of the ratio ${\sigma }_{el}(s)/{\sigma }_{tot}(s)$ and emergence of black ring picture at the LHC is underlined.

14 pages, 2 figures, revised version accepted in J. Phys. G

References in corpus (8)

• Reflective scattering from unitarity saturation
• Impact analysis of TOTEM data at the LHC: black disk limit exceeded
• New analytic unitarization schemes
• Proton structure and hollowness from Lévy imaging of $pp$ elastic scattering
• Central and peripheral interactions of hadrons
• Central elastic scattering
• Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV
• Rational form of amplitude and its asymptotic factorization

Cited by in corpus (2)

• Reflective ability and its energy dependence
• The invariance of inelastic overlap function