Molecular dynamics description of an expanding $q$/$\bar{q}$ plasma with the Nambu--Jona-Lasinio model and applications to heavy ion collisions at RHIC and LHC energies

TL;DR

This paper develops a relativistic molecular dynamics model based on the Nambu--Jona-Lasinio framework to simulate the expansion and hadronization of quark-gluon plasma in heavy ion collisions at RHIC and LHC, providing insights into flow and particle spectra.

Contribution

It introduces a novel simulation approach for plasma expansion using the NJL model, linking microscopic dynamics to experimental observables in heavy ion collisions.

Findings

Centrality dependence of elliptic flow ($v_2$) analyzed

Transverse momentum spectra of pions and kaons studied

Hadronization mechanisms discussed in detail

Abstract

We present a relativistic molecular dynamics approach based on the Nambu--Jona-Lasinio Lagrangian. We derive the relativistic time evolution equations for an expanding plasma, discuss the hadronization cross section and how they act in such a scenario. We present in detail how one can transform the time evolution equation to a simulation program and apply this program to study the expansion of a plasma created in experiments at RHIC and LHC. We present first results on the centrality dependence of $v_2$ and of the transverse momentum spectra of pions and kaons and discuss in detail the hadronisation mechanism.