Higher harmonics of anisotropic flow at RHIC Beam Energy Scan energies

In this work, we report the HYDJET++ simulation results for the higher flow harmonics like elliptic flow (v2), triangular flow (v3), quadrangular flow (v4), and pentangular flow (v5) in Au-Au collisions at 200 GeV, 62.4 GeV, 39 GeV, 27 GeV, 19.6 GeV, and 14.5 GeV. The higher harmonics were calculated based on the eccentricities ϵn and modulation in the rapidity profile ρn of the fireball. These parameters were treated as related to the impact parameter. Both approaches describe the data with some qualitative differences. The ρ3 modulations show a linear correlation with v3 while the ϵ3 show a non-linear trend. A background v4 was observed due to v2 in its reaction plane while no such background was observed in the symmetry plane of v3, and no background effects were observed for v5. The constant a5, which defines the strength of the pentangular modulation at a given impact parameter, was found to be independent of beam energy, hence, we predicted the v5 of charged hadrons for the remaining energies using $a_{5}=0.025$ . Finally, we have discussed the effect of these harmonics in the final state distribution of charged hadrons.