Simple analytic solution of fireball hydrodynamics

Abstract

A new family of simple analytic solutions of hydrodynamics is found for non-relativistic, rotationally symmetric fireballs assuming an ideal gas equation of state. The solution features linear flow profile and a non-trivial transverse temperature profile. The radial temperature gradient vanishes only in the collisionless gas limit. The Zimanyi-Bondorf-Garpman solution and the Buda-Lund parameterization of expanding hydrodynamical sources are recovered as special cases. The results are applied to predict new features of proton-proton correlations and spectra data at 1.93 AGeV Ni + Ni reactions.

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References in corpus (4)

• Particle Interferometry from 40 MeV to 40 TeV
• New analytic solutions of the non-relativistic hydrodynamical equations
• Estimation of Hydrodynamical Model Parameters from the Invariant Spectrum and the Bose-Einstein Correlations of pi-mesons Produced in (pi+/K+)p Interactions at 250 GeV/c
• Hydrodynamic Parameterization of NA44 Data on Kaon and Pion Correlations and Spectra

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• Two-particle Bose-Einstein correlations and their Lévy parameters in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Scaling properties of spectra in new exact solutions of rotating, multi-component fireball hydrodynamics
• New, spherical solutions of non-relativistic, dissipative hydrodynamics
• A hint at quark deconfinement in 200 GeV Au+Au data at RHIC
• Hadron Correlations at Energies from GeV to TeV