Semiclassical transport of particles with dynamical spectral functions Original Research Article

The conventional transport of particles in the on-shell quasiparticle limit is extended to particles of finite life time by means of a spectral function A(X,P,M2) for a particle moving in an area of complex self-energy View the MathML source. Starting from the Kadanoff—Baym equations we derive in first-order gradient expansion equations of motion for testparticles with respect to their time evolution in X,P and M2. The off-shell propagation is demonstrated for a couple of model cases that simulate hadron-nucleus collisions. In case of nucleus–nucleus collisions the imaginary part of the hadron self-energy ΓX is determined by the local space-time dependent collision rate dynamically. A first application is presented for A+A reactions up to 95 A MeV, where the effects from the off-shell propagation of nucleons are discussed with respect to high energy proton spectra, high energy photon production as well as kaon yields in comparison to the available data from GANIL.