Charged pion production from Au + Au collisions at $sqrt{s_{NN}}=2.4$ GeV in the Relativistic Vlasov-Uehling-Uhlenbeck model

Using the isospin-dependent relativistic Vlasov-Uehling-Uhlenbeck (RVUU) model, we study charged pion ($pi^pm$) production in Au+Au collisions at $sqrt{s_{NN}}=$ 2.4 GeV. By fitting the density dependence of the $Delta$ resonance production cross section in nuclear medium to reproduce the experimental $pi^pm$ multiplicities, we obtain a good description of the rapidity distributions and transverse momentum spectra of $pi^pm$ in collisions at various centralities. Some shortcomings in the description of $pi^+$ production may indicate the need for including the strong potential on $pi^pm$ in RVUU, which is at present absent. Predictions on the centrality dependence of proton rapidity distribution and transverse momentum spectrum are also presented.