A Hamiltonian Model for Hard Inelastic Hadronic Collisions

TL;DR

This paper introduces a Hamiltonian eikonal model for high energy hadron collisions that emphasizes unitarity and simplifies the dynamics to focus on hard interactions, providing a framework for analyzing various observables.

Contribution

It presents a novel Hamiltonian eikonal model that incorporates unitarity and simplifies the study of hard inelastic hadronic collisions.

Findings

Model effectively describes hard interactions in high energy collisions

Unitarity is inherently maintained in the Hamiltonian formulation

Facilitates analysis of spatial inhomogeneities in hadrons

Abstract

Hamiltonian eikonal model for multiple production in high energy hadron-hadron collisions is presented and worked out with the aim of providing a simple frame for various different observables. An important role is played by unitarity which is built in by construction in the Hamiltonian formulation. The eikonal approximation allows both a very effective simplification of the dynamics, and facilitates the discussion on the relevance of possible spatial inhomogeneities of the hadrons. The model is intended to describe only the hard interaction of the constituents, the structure of the incoming hadrons and the final hadronization processes are outside the scope of the present investigation.