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We investigate the $^9$Be + $^{208}$Pb elastic scattering, breakup and fusionat energies around the Coulomb barrier. The three processes are describedsimultaneously, with identical conditions of calculations. The $^{9}$Be nucleusis defined in an $\alpha + \alpha$ + n three-body model, using thehyperspherical coordinate method. We first analyze spectroscopic properties of$^9$Be, and show that the model provides a fairly good description of thelow-lying states. The scattering with $^{208}$Pb is then studied with theContinuum Discretized Coupled Channel (CDCC) method, where the $\alpha+\alpha$+ n continuum is approximated by a discrete number of pseudostates. Opticalpotentials for the $\alpha$+ $^{208}$Pb and n+ $^{208}$Pb systems are takenfrom the literature. We present elastic-scattering and fusion cross sections atdifferent energies.

A consistent four-body CDCC model of low-energy reactions: Application to 9Be + 208Pb