Central elastic scattering

TL;DR

This paper discusses the impact parameter profile of elastic scattering amplitudes at high energies, emphasizing the importance of a central elastic overlap function and the role of reflective scattering at LHC energies.

Contribution

It highlights the necessity of a central impact parameter profile for the elastic overlap function and proposes eliminating phases linked to peripheral elastic overlap functions, introducing a new peripheral inelastic overlap feature.

Findings

Elastic overlap function should be central at high energies.

Reflective scattering mode becomes significant at LHC energies.

Inelastic overlap function exhibits a maximum at nonzero impact parameter.

Abstract

We comment on phase selection of the scattering amplitude, emphasizing that the elastic overlap function should have a central impact parameter profile at high energies and highlighting the role of the reflective scattering mode at the LHC energies. Emerging problems with the use of peripheral impact parameter dependence of the elastic overlap function are explicitly indicated. Their solution is an elimination of the phases connected to peripheral form of the elastic overlap function. Contrary, we adhere to a relative peripheral form of the {\it inelastic} overlap function with an additional new feature of a maximum at nonzero value of the impact parameter at the highest energies. Phenomenologically, the dynamics of hadron scattering is motivated by a hadron structure with a hard central core presence.