Estimating Total Fusion Cross Sections by Using a Coupled-Channel Method

We calculate the total fusion cross sections for the ⁶He + ²⁰⁹Bi, ⁶Li + ²⁰⁹Bi,⁹Be + ²⁰⁸Pb, ¹⁰Be + ²⁰⁹Bi, and ¹¹Li + ²⁰⁸Pb systems by using a coupled-channel (CC) method and compare the results with the experimental data. In the CC approach for the total fusion cross sections, we exploit a globally determined Wood-Saxon potential with Aky¨uz-Winther parameters and couplings of the ground state to the low-lying excited states in the projectile and the target nuclei. The total fusion cross sections obtained with the CC are compared with those obtained without the CC couplings. The latter approach is tantamount to a one-dimensional barrier penetration model. Finally, our approach is applied to understand new data for the ¹¹Li+²⁰⁸Pb system. Possible ambiguities inherent in those approaches are discussed in detail for further applications to the fusion system of halo and/or neutron-rich nuclei.