How does breakup influence the total fusion of ^6,7Li at the Coulomb barrier?

Total (complete+incomplete) fusion excitation functions of ^6,7Li on ⁵⁹Co and ²⁰⁹Bi targets around the Coulomb barrier are obtained using a new continuum discretized coupled channel method of calculating fusion. The relative importance of breakup and bound-state structure effects on total fusion is particularly investigated. The effect of breakup on fusion can be observed in the total fusion excitation function. The breakup enhances the total fusion at energies just around the barrier, whereas it hardly affects the total fusion at energies well above the barrier. The difference between the experimental total fusion cross sections for ^6,7Li on ⁵⁹Co is notably caused by breakup, but this is not the case for the ²⁰⁹Bi target.