Energy and angular momentum dependence of complete fusion cross sections

A model for the calculation of the cross section for complete fusion in heavy-ion reactions is suggested. The model does not explicitly depend on the sharp cutoff approximation. On the contrary, it allows for a gradual transition between compound and direct process when the bombarding energy is sufficiently high above the Coulomb barrier. The energy below which the reaction cross section is exhausted by compound processes is also estimated. Comparison with experimental results supports the validity of the model.