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Observables and initial conditions for self-similar ellipsoidal flows

2001/08/31 by T. Csörgő, S. V. Akkelin, Y. Hama +3 · 1 citation
Mathematics · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Ellipsoid #Elliptic flow #Flow (mathematics) #Geometry #Heavy ion #High-Energy Particle Collisions Research #Mathematics #Mechanics #Observable #Particle (ecology) #Physics #Principal axis theorem #Quantum mechanics #Quantum, superfluid, helium dynamics #RADIUS #Rotational symmetry #Symmetry (geometry) #hep-ph

paper · pdf · doi:10.1103/physrevc.67.034904

published as Phys.Rev. C67 (2003) 034904 · 4 pages, 3 figures

openalex publication_date 2003/03/24 · arxiv created 2004/08/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Single-particle spectra and two-particle Bose-Einstein correlation functions are determined analytically utilizing a self-similar solution of nonrelativistic hydrodynamics for ellipsoidally symmetric, expanding fireballs, by assuming that the symmetry axes of the ellipsoids are tilted in the frame of the observation. The directed, elliptic, and third flows are calculated analytically. The mass dependences of the slope parameters in the principal directions of the expansion, together with the mass and angular dependences of the HBT radius parameters, reflect directly the ellipsoidal properties of the flow.

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