  Within the dinuclear system (DNS) conception, instead of solving
Fokker-Planck Equation (FPE) analytically, the Master equation is solved
numerically to calculate the fusion probability of super-heavy nuclei, so that
the harmonic oscillator approximation to the potential energy of the DNS is
avoided. The relative motion concerning the energy, the angular momentum, and
the fragment deformation relaxations is explicitly treated to couple with the
diffusion process, so that the nucleon transition probabilities, which are
derived microscopically, are time-dependent. Comparing with the analytical
solution of FPE, our results preserve more dynamical effects. The calculated
evaporation residue cross sections for one-neutron emission channel of Pb-based
reactions are basically in agreement with the known experimental data within
one order of magnitude.
