Dependence of elliptic flow on transverse momentum in $\sqrt{\mathrm{\it s_{NN}}}=200$ GeV Au-Au and $\sqrt{\mathrm{\it s_{NN}=2.76$ TeV Pb-Pb collisions

TL;DR

This study models how elliptic flow $v_2$ varies with transverse momentum $P_T$ in high-energy nucleus-nucleus collisions, showing good agreement with experimental data and revealing linear growth of expansion factor with impact parameter.

Contribution

The paper introduces a multi-source ideal gas model that incorporates source interactions to accurately describe $v_2$ dependence on $P_T$ across different collision centralities.

Findings

Model agrees with STAR and ALICE data over wide $P_T$ range

Expansion factor increases linearly with impact parameter

Provides insight into collision geometry effects on flow

Abstract

We investigate the dependence of elliptic flows $v_2$ on transverse momentum $P_T$ for charged hadrons produced in nucleus-nucleus collisions at high energy by using a multi-source ideal gas model which includes the interaction contribution of the emission sources. Our calculated results are approximately in agreement with the experimental data over a wider $P_T$ range from the STAR and ALICE Collaborations. It is found that the expansion factor increases linearly with the impact parameter from most central (0-5%) to mid-peripheral (35-40%) collisions.