Elliptic flow of hadrons in Au + Au collisions at $\sqrt{s_{NN}}=7.7,19.6$ and 39 GeV from a multi-phase transport model based on a dynamical quark coalescence mechanism

We present a study of the transverse momentum (p _T) spectra and the differential elliptic flow (v ₂) in a multi-phase transport model based on a dynamical quark coalescence model for Au + Au collisions at $\sqrt{s_{NN}}=7.7,19.6$ and 39 GeV. We have compared our results with the experimental data. The v ₂ of $\overline{p}$ is found to be sensitive to the size parameter for mesons in the model. Our study indicates that the elliptic flow splitting between p and $\overline{p}$ at lower energies may be partly due to quark coalescence in phase space. (paper)