Phase Space and Dynamical Fluctuations of Kaon--to--Pion Ratios

TL;DR

This paper investigates how phase space volume and particle distribution modifications influence the dynamical fluctuations of kaon-to-pion ratios across different energies, suggesting a connection to the quark-gluon plasma phase transition.

Contribution

It introduces a model incorporating phase space volume changes and distribution function modifications to explain fluctuation data over a wide energy range.

Findings

Reproduces experimental fluctuation data across energies

Links phase transition to changes in phase space volume

Supports the hadron resonance gas model with modifications

Abstract

The dynamical fluctuations of kaon--to--pion ratios have been studied over a wide range of center--of--mass energies $\sqrt{s}$. Based on changing phase space volume which apparently is the consequence of phase transition from hadrons to quark--gluon plasma at large $\sqrt{s}$, single--particle distribution function $f$ is assumed to be rather modified. Varying $f$ and phase space volume are implemented in the grand--canonical partition function, especially at large $\sqrt{s}$, so that hadron resonance gas model, when taking into account the experimental acceptance and quark phase space occupation factor, turns to be able to reproduce the dynamical fluctuations over the entire range of $\sqrt{s}$.