Charged pion production from Au + Au collisions at GeV in the relativistic Vlasov-Uehling-Uhlenbeck model
Kyle Godbey (Cyclotron Institute, Texas A&M University, College Station, USA)
; Zhen Zhang (Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University, Zhuhai, China)
; Jeremy W. Holt (Cyclotron Institute, Department of Physics and Astronomy, Texas A&M University, College Station, USA)
; Che Ming Ko (Cyclotron Institute, Department of Physics and Astronomy, Texas A&M University, College Station, USA)
Using the isospin-dependent relativistic Vlasov-Uehling-Uhlenbeck (RVUU) model, we study charged pion () production in Au+Au collisions at 2.4 GeV. By fitting the density dependence of the Δ resonance production cross section in nuclear medium to reproduce the experimental multiplicities measured by the HADES Collaboration, we obtain a good description of the rapidity distributions and transverse momentum spectra of in collisions at various centralities. Some shortcomings in the description of production may indicate the need for including the strong potential on in RVUU, which is at present absent. We also calculate the proton rapidity distribution in the most central collisions and compare with the coalescence invariant proton rapidity distribution extracted from preliminary HADES data.