Observables and initial conditions for rotating and expanding fireballs with spheroidal symmetry

TL;DR

This paper analytically investigates how rotation influences the momentum anisotropies, spectra, and correlations in spheroidally symmetric, rotating, expanding fireballs, revealing the impact of initial angular momentum.

Contribution

It introduces exact analytic solutions for rotating fireballs and analyzes their effects on observable particle spectra and correlations.

Findings

Rotation induces momentum anisotropies even in spherical initial geometries.

Effective temperatures and HBT radii depend on initial angular momentum.

Elliptic flow is sensitive to both radial flow and initial rotation.

Abstract

Utilizing a recently found class of exact, analytic rotating solutions of non-relativistic fireball hydrodynamics, we calculate analytically the single-particle spectra, the elliptic flows and two-particle Bose-Einstein correlation functions for rotating and expanding fireballs with spheroidal symmetry. We demonstrate, that rotation generates final state momentum anisotropies even for a spatially symmetric, spherical initial geometry of the fireball. The mass dependence of the effective temperatures, as well as the HBT radius parameters and the elliptic flow are shown to be sensitive not only to radial flow effects but also to the magnitude of the initial angular momentum.