An analytic hydrodynamical model of rotating 3D expansion in heavy-ion collisions

Abstract

A new exact and analytic solution of non-relativistic fireball hydrodynamics is presented. It describes an expanding three-axis ellipsoid that rotates along one of its principal axes. The observables are calculated using simple analytic formulas. Following earlier works, it is pointed out that azimuthal oscillation of the off-diagonal Bertsch-Pratt radii of Bose-Einstein correlations as well as rapidity dependent directed and third flow measurements provide means to determine the magnitude of the rotation of the fireball. It is argued that observing this rotation and its dependence on collision energy may lead to new information on the equation of state of the strongly interacting quark gluon plasma produced in high energy heavy ion collisions.