We developed a $1+1$ dimensional hydrodynamical model for central heavy-ion collisions at ultrarelativistic energies. Deviations from Bjorken's scaling are taken into account by implementing finite-size profiles for the initial energy density. The calculated rapidity distributions of pions, kaons, and antiprotons in central Au+Au collisions at $\sqrt{s_{\mathit{NN}}}=200$ GeV are compared with experimental data of the BRAHMS Collaboration. The sensitivity of the results to the choice of the equation of state, the parameters of the initial state, and the freeze-out conditions were investigated. Experimental constraints on the total energy of produced particles were used to reduce the number of model parameters. The best fits of experimental data were obtained for soft equations of state and Gaussian-like initial profiles of the energy density. It was found that initial energy densities required for fitting the experimental data decrease with the increasing critical temperature of the phase transition.

• Received 20 July 2006

DOI:https://doi.org/10.1103/PhysRevC.75.024903