Microscopic description of heavy-ion collisions in terms of interacting RPA modes

Starting from the TDHF equation, the equations of motion for the single-particle density matrices refering to projectile and target are derived in an approximative way in a translating and rotating reference frame. An expansion of the fluctuating part of the transformed density in terms of generalized RPA modes in the ph as well as the pp(hh) channel leads to a system of non-linear coupled equations which simultaneously determine the time development of the collective coordinates and momenta of the relative motion, of the intrinsic angular momentum, and of the amplitudes of coherent surface excitations of the fragments. In a schematic calculation the formalism is applied to the angular momentum dissipation in the excitation of damped giant dipole modes.