Longitudinal Scaling of Elliptic Flow in Landau Hydrodynamics

TL;DR

This paper generalizes Landau hydrodynamics to describe elliptic flow in non-central heavy ion collisions, demonstrating longitudinal scaling of elliptic flow across different energies and systems, linked to initial energy density and thickness effects.

Contribution

It introduces a generalized Landau hydrodynamic model that explains the longitudinal scaling of elliptic flow in heavy ion collisions.

Findings

Elliptic flow $v_2$ scales longitudinally with rapidity shifted by beam rapidity.

Scaling observed at energies 62.4 GeV and 200 GeV for Au-Au and Cu-Cu systems.

Scaling attributed to initial transverse energy density and longitudinal thickness effects.

Abstract

This study presents generalization of the Landau hydrodynamic solution for multiparticle production applied to non-central relativistic heavy ion collisions. Obtained results shows longitudinal scaling of elliptic flow $v_2$ as a function of rapidity shifted by beam rapidity ($y-y_{beam}$) for different energies ($\sqrt{s_{NN}}=62.4$ GeV and 200 GeV) and for different systems (Au-Au and Cu-Cu). It is argued, that the elliptic flow and its longitudinal scaling is due to the initial transverse energy density distribution and initial longitudinal thickness effect.