Abstract
We investigate the $^9$Be + $^{208}$Pb elastic scattering, breakup and fusion at energies around the Coulomb barrier. The three processes are described simultaneously, with identical conditions of calculations. The $^{9}$Be nucleus is defined in an $\alpha + \alpha$ + n three-body model, using the hyperspherical coordinate method. We first analyze spectroscopic properties of $^9$Be, and show that the model provides a fairly good description of the low-lying states. The scattering with $^{208}$Pb is then studied with the Continuum Discretized Coupled Channel (CDCC) method, where the $\alpha+\alpha$ + n continuum is approximated by a discrete number of pseudostates. Optical potentials for the $\alpha$+ $^{208}$Pb and n+ $^{208}$Pb systems are taken from the literature. We present elastic-scattering and fusion cross sections at different energies.
Highlights
Many experiments have been performed with the 9Be nucleus, used as a target or as a projectile [1]
The reaction framework is the Continuum Discretized Coupled Channel (CDCC) method, which is well adapted to weakly bound projectiles since it allows to include breakup channels
The determination of the 9Be wave functions is the first step for the 9Be+208Pb CDCC calculation
Summary
Many experiments have been performed with the 9Be nucleus, used as a target or as a projectile [1]. In the present work [3], we aim at investigating 9Be scattering and fusion on a heavy target. [4] for a recent review), which is well adapted to weakly bound projectiles since it allows to include breakup channels. Many data have been obtained for 9Be+208Pb elastic scattering [5, 6] and fusion [7, 8]. These experimental data provide a good opportunity to test 9Be wave functions. No assumption should be made about the cluster structure, and α+208Pb as well as n+208Pb optical potentials are available in the literature
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