Scaling Properties of Spectra in New Exact Solutions of Rotating, Multi-Component Fireball Hydrodynamics

We describe fireballs that rehadronize from a perfect fluid of quark matter, characterized by the lattice QCD equation of state, to a chemically frozen, multi-component mixture, that contains various kinds of observable hadrons. For simplicity and clarity, we apply a non-relativistic approximation t...

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Main Authors: Tamás Csörgő, Gábor Kasza
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:Universe
Subjects:
Online Access:http://www.mdpi.com/2218-1997/4/4/58
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author Tamás Csörgő
Gábor Kasza
author_facet Tamás Csörgő
Gábor Kasza
author_sort Tamás Csörgő
collection DOAJ
description We describe fireballs that rehadronize from a perfect fluid of quark matter, characterized by the lattice QCD equation of state, to a chemically frozen, multi-component mixture, that contains various kinds of observable hadrons. For simplicity and clarity, we apply a non-relativistic approximation to describe the kinematics of this expansion. Unexpectedly, we identify a secondary explosion that may characterize fireball hydrodynamics at the QCD critical point. After rehadronization, the multi-component mixture of hadrons keeps on rotating and expanding together, similarly to a single component fluid. After kinetic freeze-out, the effective temperature T i of the single-particle spectra of hadron type h i is found to be a sum of the kinetic freeze-out temperature T f (that is independent of the hadron type h i ) and a term proportional to the mass m i of hadron type h i . The coefficient of proportionality to m i is found to be independent of the hadron type h i but to be dependent on the radial flow and vorticity of collective dynamics.
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spelling doaj.art-5812a437dbd64826ad0ca1ff9a8910422022-12-22T04:22:46ZengMDPI AGUniverse2218-19972018-03-01445810.3390/universe4040058universe4040058Scaling Properties of Spectra in New Exact Solutions of Rotating, Multi-Component Fireball HydrodynamicsTamás Csörgő0Gábor Kasza1Wigner RCP, H-1525 Budapest 114, P.O.Box 49, HungaryEKU KRC, H-3200 Gyöngyös, Mátrai út 36, HungaryWe describe fireballs that rehadronize from a perfect fluid of quark matter, characterized by the lattice QCD equation of state, to a chemically frozen, multi-component mixture, that contains various kinds of observable hadrons. For simplicity and clarity, we apply a non-relativistic approximation to describe the kinematics of this expansion. Unexpectedly, we identify a secondary explosion that may characterize fireball hydrodynamics at the QCD critical point. After rehadronization, the multi-component mixture of hadrons keeps on rotating and expanding together, similarly to a single component fluid. After kinetic freeze-out, the effective temperature T i of the single-particle spectra of hadron type h i is found to be a sum of the kinetic freeze-out temperature T f (that is independent of the hadron type h i ) and a term proportional to the mass m i of hadron type h i . The coefficient of proportionality to m i is found to be independent of the hadron type h i but to be dependent on the radial flow and vorticity of collective dynamics.http://www.mdpi.com/2218-1997/4/4/58hydrodynamicsexact solutionquark-gluon plasmahadronizationvorticityradial flow
spellingShingle Tamás Csörgő
Gábor Kasza
Scaling Properties of Spectra in New Exact Solutions of Rotating, Multi-Component Fireball Hydrodynamics
Universe
hydrodynamics
exact solution
quark-gluon plasma
hadronization
vorticity
radial flow
title Scaling Properties of Spectra in New Exact Solutions of Rotating, Multi-Component Fireball Hydrodynamics
title_full Scaling Properties of Spectra in New Exact Solutions of Rotating, Multi-Component Fireball Hydrodynamics
title_fullStr Scaling Properties of Spectra in New Exact Solutions of Rotating, Multi-Component Fireball Hydrodynamics
title_full_unstemmed Scaling Properties of Spectra in New Exact Solutions of Rotating, Multi-Component Fireball Hydrodynamics
title_short Scaling Properties of Spectra in New Exact Solutions of Rotating, Multi-Component Fireball Hydrodynamics
title_sort scaling properties of spectra in new exact solutions of rotating multi component fireball hydrodynamics
topic hydrodynamics
exact solution
quark-gluon plasma
hadronization
vorticity
radial flow
url http://www.mdpi.com/2218-1997/4/4/58
work_keys_str_mv AT tamascsorgo scalingpropertiesofspectrainnewexactsolutionsofrotatingmulticomponentfireballhydrodynamics
AT gaborkasza scalingpropertiesofspectrainnewexactsolutionsofrotatingmulticomponentfireballhydrodynamics