Visualizations of the Exclusive Central Diffraction

TL;DR

This paper explores how visualizing diffractive patterns in low invariant mass exclusive central diffraction can reveal details of proton-proton interactions and test theoretical models, using a three-pomeron model as an example.

Contribution

It introduces a framework for visualizing diffractive patterns to study $pp$ interactions and demonstrates this with a three-pomeron model for specific processes.

Findings

Diffractive patterns can be used to explore $pp$ interactions.

Visualizations help test and falsify theoretical models.

The paper provides detailed visualizations for specific diffractive processes.

Abstract

The case of the low invariant mass exclusive central diffractive production is considered in the general theoretical framework. It is shown that diffractive patterns (differential cross-sections on variables like transfer momenta squared, the azimuthal angle between final hadrons and their combinations) can serve as a unique tool to explore the picture of the $pp$ interaction and falsify theoretical models. Basic kinematical and dynamical properties of the process are considered in detail. As an example, visualizations of diffractive patterns in the model with three pomerons for processes $p+p\to p+R+p$ and $p+p\to p+\pi^{+}\pi^{-}+p$ are presented.