Anisotropic flow of identified hadrons by the Event Plane Method at FAIR energies

A comprehensive study of the elliptic flow of hadrons for non central Au+Au collision with the impact parameter of b =5-9 fm in the mid rapidity region of (-1 ≤ ycm ≤1) with the reaction plane angle Ψ in the mid-pseudorapidity of |ɳ| < 0.35 is investigated in the FAIR energy regime of 25 A Gev by the AMPT model with both the default and the string melting scenarios. In both the versions of AMPT model, we have observed that at low PT regions up to PT ≈ 1.0 GeV/c, elliptic flow shows an almost linear increase with the increase in the transverse momentum. Also, there is a clear mass ordering effect that is particles with higher mass shows a smaller at a given PT than the particles with lower mass. In addition, the constituent quark number scaling of elliptic flow has been investigated where we have observed a universal scaling in the string melting version of the AMPT model i.e with the partonic degrees of freedom due to quark coalescence model compared with the default version of the AMPT model. Further, the scaling behavior has been observed for the transverse kinetic energy with both scenarios.