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

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.

25 pages, 28 figures

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Cited by in corpus (8)

• Production of exotic tetraquarks $QQ\bar{q}\bar{q}$ in heavy-ion collisions at the LHC
• Observables in ultrarelativistic heavy-ion collisions from two different transport approaches for the same initial conditions
• Correlation of the hyperon potential stiffness with hyperon constituents in neutron stars and heavy-ion collisions
• Hot Quark Matter with Neutrino Confinement in the Framework of the Local Nambu--Jona-Lasinio SU(3) Model
• Dynamical scheme for hadronization with first-order phase transition
• Hadronization from color interactions
• The quest for the quark-gluon plasma from the perspective of dynamical models of relativistic heavy-ion collisions
• Covariant formulation of relativistic quantum molecular dynamics for a system of interacting wave packets