Simple Cellular Model of Long-Range Multiplicity and $p_t$ Correlations in High-Energy Nuclear Collisions

TL;DR

This paper introduces a simple cellular model based on string fusion concepts to analyze long-range multiplicity and $p_t$ correlations in high-energy nuclear collisions, providing analytical solutions and examining model assumptions.

Contribution

It presents three versions of a cellular model incorporating string fusion effects and develops a Gauss approximation for analytical calculations.

Findings

Analytical correlation functions derived in asymptotic cases.

Model validity checked against explicit solutions in the no fusion case.

Impact of cell size and non-Poissonian distributions on correlations analyzed.

Abstract

A simple cellular model for the description of the long-range multiplicity and $p_t$ correlations in high-energy nuclear collisions originating from the string fusion model is proposed. Three versions of the model: without fusion, with local and with global string fusion are formulated. A Gauss approximation which enables explicit analytical calculations of the correlation functions in some asymptotic cases in the framework of the model is developed. The assumptions of the model and the validity of a Gauss approximation are checked up in the simplest (no fusion) case when the explicit solution of the model can be found. The role of a size of cells is analysed. The modification of the results in the case of non-Poissonian distributions is also discussed.