Elastic hadron scattering and optical theorem

TL;DR

This paper challenges the applicability of the optical theorem in elastic hadron scattering, proposing a new approach based on impact parameter analysis rather than traditional optical theorem assumptions.

Contribution

It demonstrates that the optical theorem, assumed valid in current models, cannot be applied to short-range strong interactions and suggests a new framework for analyzing hadronic collisions.

Findings

Optical theorem validity is questionable for strong interactions.

Impact parameter-based analysis offers a new perspective.

Progress depends on specifying initial states via impact parameters.

Abstract

All contemporary phenomenological models of elastic hadronic scattering have been based in principle on the assumption of optical theorem validity that has been overtaken from optics. It will be shown that the given theorem which has not been actually proved in particle physics cannot be applied to short-ranged strong interactions. The analysis of corresponding collision experiments is to be done under new basic assumptions. The actual progress in description of hadronic collision processes might then exist only if the initial states are specified on the basis of impact parameter values of colliding particles and probability dependence on this parameter is established, without limiting corresponding conclusion by optical theorem validity.