International Workshop on Semiclassical and Phase Space Approaches to the Dynamics of the Nucleus
J. Phys. Colloques 48 (1987) C2-185-C2-194
DOI: 10.1051/jphyscol:1987227
QUANTAL VERSUS CLASSICAL PHASE-SPACE DYNAMICS OF HEAVY-ION REACTIONS
W. CASSINGInstitut für Theoretische Physik, Universität Giessen, D-6300 Giessen, F.R.G
Abstract
The Vlasov-Uehling-Uhlenbeck equation is derived from coupled equations of motion for the one-body density matrix and the two-body correlation function as obtained from the density-matrix hierarchy. The respective approximations introduced for the classical collision term are related with energy and momentum conservation in single nucleon-nucleon collisions and found numerically to be approximately valid for hard scattering processes in case of intermediate energy heavy-ion reactions. A related second order approximation in the nucleon-nucleon interaction, however, turns out not to be justified for colliding nuclear systems in the Fermi energy domain.