Parameterization of Elliptic Flow Coefficient for Au+Au Collisions at Two Beam Energies

It is important to study elliptic flow coefficient (v2) to search for the possible formation of Quark-Gluon Plasma. The variation of elliptic flow coefficient with centrality were studied using events generated by AMPT (Default) for Au+Au collisions at center of mass energies of 62.4 and 200 GeV. This work also includes the study of variation of the ratio of v2 for 200 GeV to v2 for 62.4 GeV, with centrality. We compared the simulated data results with PHENIX experimental results and found close agreement between them. The whole study was performed for inclusive charged hadrons for most central and mid-peripheral Au+Au collisions in the transverse momentum range from 0.2 to 1.0 GeV/c and pseudo rapidity range from (-) 0.35 to (+) 0.35 (parameter similar to the PHENIX experimental setup). The study of the variation of the ratio of v2 for 200 GeV to v2 for 62.4 GeV was parameterized by fitting. We proposed a new formula to know the expected value of v2 for 200 GeV at particular centrality, provided v2 for 62.4 GeV is known and vice versa. Similarly, we can know the value of the ratio v2 for 200 GeV to v2 for 62.4 GeV at particular centrality.