Entropy Analysis in $\pi^{+}\rp$ and $\rK^{+}\rp$ Collisions at $\sqrt{s}=22$ GeV

TL;DR

This paper investigates the entropy characteristics of $^{+}$ and $^{+}$ collisions at 22 GeV using Ma's coincidence method, testing entropy scaling and additivity, and comparing experimental data with Monte Carlo simulations.

Contribution

It introduces an analysis of entropy properties in particle collisions using Rnyi entropies and tests their scaling and additivity in rapidity space, comparing with Monte Carlo models.

Findings

Entropy scaling law is tested in collision data.

Additivity of entropy in rapidity space is examined.

Comparison with Pythia simulations shows agreement or deviations.

Abstract

The entropy properties are analyzed by Ma's coincidence method in $\pi^{+}\rp$ and $\rK^{+}\rp$ collisions of the NA22 experiment at 250 GeV/$c$ incident momentum. By using the R\'{e}nyi entropies, we test the scaling law and additivity properties in rapidity space. The behavior of the R\'{e}nyi entropies as a function of the average number of particles is investigated. The results are compared with those from the {\sc Pythia} Monte Carlo event generator.