  We discuss several open problems of fusion reactions induced by weakly bound
nuclei. For this purpose, we solve a one dimensional three-body Hamiltonian
with the coupled-channels formalism. We show that the continuum-continuum
couplings substantially reduce the total fusion probability at energies above
the barrier compared with the no-breakup case, although the fusion probability
remains enhanced at subbarrier energies. We then discuss a role of transfer
process in fusion of weakly bound nuclei, and point out that removing spurious
Pauli forbidden transfer components from the calculation may be crucial at
energies below the barrier. Calculations based on the three-body classical
trajectory Monte Carlo (CTMC) method are also presented in order to discuss how
to model complete fusion process.
