Breakup and fusion ofLi6andHe6withPb208

Abstract

The effect of $^{6}\mathrm{Li}$ and $^{6}\mathrm{He}$ breakup on the fusion cross section of these nuclei with $^{208}\mathrm{Pb}$ is investigated by means of continuum-discretized coupled-channels (CDCC) calculations. For $^{6}\mathrm{Li}$ the calculations describe reasonably well the experimental data for elastic scattering, $^{6}\mathrm{Li}\ensuremath{\rightarrow}\ensuremath{\alpha}+d$ breakup and the absorption cross section given by the sum of the $^{6}\mathrm{Li}$ fusion and the $\ensuremath{\alpha}$ production cross section not attributed to breakup. The effect of $^{6}\mathrm{Li}$ breakup on the calculated absorption cross section is found to depend strongly on the imaginary part of the diagonal bare potential. A combination of the CDCC technique and the barrier penetration model generates results close to the measured fusion cross section. For $^{6}\mathrm{He}$ the calculated absorption cross section is much larger than the measured $^{6}\mathrm{He}+^{209}\mathrm{Bi}$ complete fusion cross section values. However, it is found to be relatively independent of the form of the imaginary part of the bare potential. The complete fusion cross section is again found to be reasonably well described by the CDCC∕BPM combination.