Semi-Inclusive Distributions in Statistical Models

TL;DR

This paper investigates semi-inclusive particle distributions across various statistical ensembles, comparing theoretical predictions with experimental data from high-energy proton-proton collisions to understand ensemble effects on particle multiplicity and momentum distributions.

Contribution

It provides a comparative analysis of semi-inclusive distributions in different statistical ensembles, including volume fluctuations, and evaluates their consistency with experimental data.

Findings

Different ensembles produce qualitatively distinct distribution dependencies.

Theoretical models are compared with experimental data from high-energy $p+p$ interactions.

Insights into the impact of ensemble choice on particle distribution predictions.

Abstract

The semi-inclusive properties of the system of neutral and charged particles with net charge equal to zero are considered in the grand canonical, canonical and micro-canonical ensembles as well as in micro-canonical ensemble with scaling volume fluctuations. Distributions of neutral particle multiplicity and charged particle momentum are calculated as a function of the number of charged particles. Different statistical ensembles lead to qualitatively different dependencies. They are being compared with the corresponding experimental data on multi-hadron production in $p+p$ interactions at high energies.