Abstract

We introduce a novel approach based on elastic and inelastic scattering rates to extract the hyper-surface of the chemical freeze-out from a hadronic transport simulation. We use the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) model to extract the chemical freeze-out hyper-surface of pions and kaons in the energy range from Elab = 1:23A GeV to √SNN = 7.7 GeV. By employing a coarse-graining procedure, we can extract the local temperature T and baryo-chemical potential μB on the chemical freeze-out surface and compare them to results from statistical model analysis. We find good agreement between the pion chemical freeze-out line extracted from the simulation and the freeze-out line from the statistical model extracted from data. In addition the simulations also hint towards the existence of a flavor hierarchy similar to the one observed in recent lattice QCD calculations.

Highlights

  • There is an ongoing debate about whether the phase transition line is connected to the chemical freeze-out line, i.e. the stage at which flavor changing reactions cease and the chemical yields of the hadrons are fixed

  • We find good agreement between the pion chemical freeze-out line extracted from the simulation and the freeze-out line from the statistical model extracted from data

  • We aim to contribute to the discussion of the “flavor hierarchy” question by extracting the microscopic chemical freeze-out hyper-surface Σcμfo(xν) from a dynamical hadronic transport simulation without the need to fit measured particle yield

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Summary

Introduction

There is an ongoing debate about whether the phase transition line is connected to the chemical freeze-out line, i.e. the stage at which flavor changing reactions cease and the chemical yields of the hadrons are fixed. On the one hand there is the thermal model utilizing a relativistic hadron gas described by a volume (V), a temperature (T ) and the chemical potentials (μi) which successfully describes final state hadron yields over a broad range energies [1]. This finding is usually interpreted as thermal/chemical equilibrium being formed via statistical hadronization from the Quark-Gluon-Plasma (QGP). On the other hand there are ab initio lattice calculations investigating the temperature dependence of susceptibility ratios pointing towards a separation in the chemical decoupling temperatures of light and strange quarks [2,3,4]. We employ a coarse-graining procedure to infer the local temperature and baryo-chemical potential

Modeling chemical freeze-out in UrQMD
Results
Freeze-out of pions versus kaons
Thermodynamics on the hyper-surface
Summary
Full Text
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