Extending the Bjorken Formula to Lower RHIC Energies
by
Prof.Ziwei Lin
(ECU)
→
Asia/Shanghai
B105 (CHEP)
B105
CHEP
West Building, School of Physics, PKU
Description
The Bjorken formula is very useful for the estimation of the initial energy density in relativistic heavy ion collisions once an initial time tau_0 is specified. However, it cannot be trusted at lower energies, e.g. well below sqrt(s_NN)~50 GeV for central Au+Au collisions, when tau_0 is smaller than the finite time it takes for the two nuclei to cross each other. Here we extend the Bjorken formula by including the finite time duration of the initial energy production. We derive analytical solutions for the energy density in the central rapidity region, where we find big differences from the Bjorken formula at energies such as Beam Energy Scan Energies at RHIC. We also compare with numerical results from a multi-phase transport (AMPT) model.