Application of the theory of quantized frictional motion to a fusion and deep inelastic heavy ion reaction

We present a quantum mechanical treatment of the heavy ion reaction 12B+159Tb at a bombarding energy of 51 MeV. Hereby we solve time dependent Schroedinger equation in two relative cartesian coordinates with a nonlinear frictional Hamiltonian and a conservative potential. Several impact parameters are used as initial conditions. During the evolution in time, the initial wave packet splits up into quasielastic (elastic), deep inelastic (direct) and fusion components. The resulting critical and maximum angular momenta of complete fusion and reaction cross sections are compared with results of a classical model and with experimental data. (author)