Quantum molecular dynamics study of fusion and its fade out in the ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$${+}^{16}$O system

The quantum molecular dynamic method is used to study the fusion reaction in the ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$${+}^{16}$O system and its fade out with the increase of the incident energy. It is shown that without two-nucleon collisions there appears the so-called fusion window, as in the time-dependent Hartree-Fock approach, while with the inclusion of two-nucleon collisions the low partial wave cutoff in fusion disappears. The fade out of the fusion process with the increase of the incident energy is found to be due to the increase of the cross sections mainly of the incomplete fusion process in the whole range of the impact parameter and partly of the deep-inelastic-collision–like process in the peripheral region. The calculated fusion cross section as a function of incident energy is shown to be in good accordance with experiments.