EPJ Web of Conferences 117, 06005 (2016)
https://doi.org/10.1051/epjconf/201611706005

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

¹ Departamento de Física Matemática, Instituto de Física, Universidade São Paulo, C.P. 66318, 05314-970, São Paulo, SP, Brazil
² Instituto de Estudos Avançados, Universidade de São Paulo, C.P. 72012, 05508-970, São Paulo, SP, Brazil
³ Departamento de Física, Instituto Tecnológico de Aeronáutica, CTA, São José dos Campos, São Paulo, SP, Brazil
⁴ Physique Nucléaire Théorique et Physique Mathématique, C.P. 229, Université Libre de Bruxelles (ULB), B 1050 Brussels, Belgium
⁵ Instituto de Física, Universidade Federal do Rio de Janeiro, C.P. 68528, 21941-972 Rio de Janeiro, RJ, Brazil
⁶ Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, Niterói, RJ, Brazil

Published online: 11 May 2016

Abstract

We investigate the ⁹Be+²⁰⁸Pb elastic scattering, breakup and fusion at energies around the Coulomb barrier. The three processes are described simultaneously, with identical conditions of calculations. The ⁹Be nucleus is defined in an α + α + n three-body model, using the hyperspherical coordinate method. We first analyze spectroscopic properties of ⁹Be, and show that the model provides a fairly good description of the low-lying states. The scattering with ²⁰⁸Pb is then studied with the Continuum Discretized Coupled Channel (CDCC) method, where the α + α + n continuum is approximated by a discrete number of pseudostates. Optical potentials for the α+²⁰⁸Pb and n+²⁰⁸Pb systems are taken from the literature. We present elasticscattering and fusion cross sections at different energies.