Charged particle multiplicity distributions derived from the Principle of Maximal Entropy

TL;DR

This paper demonstrates that charged particle multiplicity distributions can be derived from the principle of maximum entropy, explaining their negative binomial shape without prior physical assumptions, thus offering a new theoretical perspective.

Contribution

It introduces a maximum entropy-based method to derive multiplicity distributions, linking entropy principles to particle physics without relying on specific physical models.

Findings

Distributions follow a negative binomial shape naturally from MAXENT.

The approach connects Shannon entropy with quantum entanglement concepts.

Provides a model-independent derivation of multiplicity distributions.

Abstract

Recent theoretical results renewed the interest in charged particle multiplicity distributions. The Shannon entropy of such distributions is conjectured to be related to the entanglement or von Neumann entropy of partonic quantum system. In this paper, we show that the measured charged particle multiplicities can be derived from the principle of maximum entropy (POME or MAXENT) without any a priori physical assumption. The approach provides a natural explanation for the well-known negative binomial shape of the measured distributions.