Calculating QCD Phase Diagram Trajectories of Nuclear Collisions using a Semi-analytical Model

At low to moderate collision energies where the parton formation time $\tau_F$ is not small compared nuclear crossing time, finite thickness significantly affects energy density $\epsilon(t)$ and net conserved-charge densities such as net-baryon $n_B(t)$ produced in heavy ion collisions. As a result, at trajectory QCD phase diagram also affected by thickness. Here, we first discuss our semi-analytical model its results on $\epsilon(t)$, $n_B(t)$, $n_Q(t)$, $n_S(t)$ central Au+Au We then compare $T(t)$, $\mu_B(t)$, $\mu_Q(t)$, $\mu_S(t)$ extracted with ideal gas equation of state (EoS) quantum statistics those lattice QCD-based EoS. $T-\mu_B$ trajectories RHIC chemical freezeout data. Finally, effect transverse flow trajectories.