Preliminary results and conservation laws of two-body correlation transport theory for heavy ion collision

Based on the two-body correlation dynamics (TBCD) introduced by Wang et al., the authors have taken the time dependent single particle states as working basis to derive the two-body correlation transport theory (TBCTT) for describing the dynamical process of HIC. This theory contains all possible two-body correlation, the time-dependent mean field and antisymmetric effect to provide a microscopic description for the dynamical transport process in HIC. As a testing step, the authors take QMD code without collision term to produce the time-dependent coherent single particle basis for TBCTT. Comparing the calculating the different interaction such as Skyrme, Coulomb and Yukawa are performed, it indicates that Coulomb and Yukawa interaction have important effects in HIC, and show that all behaviors of quantities studied are similar to dynamical process of heavy ion collision. The conservation laws of dynamical process of heavy ion collision, the momentum and number of particle are very good, except the energy conservation as no coupling in this work