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Low-energy Be9+Pb208 scattering, breakup, and fusion within a four-body model

P. Descouvemont, T. Druet, L. F. Canto, and M. S. Hussein
Phys. Rev. C 91, 024606 – Published 11 February 2015

Abstract

We investigate Be9+Pb208 elastic scattering, breakup, and fusion at energies around the Coulomb barrier. The three processes are described simultaneously, with identical conditions of calculations. The Be9 nucleus is defined in an α+α+n three-body model, using the hyperspherical coordinate method. We first analyze spectroscopic properties of Be9 and show that the model provides a fairly good description of the low-lying states. The scattering with Pb208 is then studied with the continuum discretized coupled channel method, where the α+α+n continuum is approximated by a discrete number of pseudostates. The use of a three-body model for Be9 improves previous theoretical works, where Be9 is assumed to have a two-body structure (Be8+n or He5+α), although neither Be8 nor He5 are bound. Optical potentials for the α+Pb208 and  n+Pb208 systems are taken from the literature. We present cross sections at different energies, and we investigate the convergence with respect to the truncation of the α+α+n continuum. In general, good agreement with experiment is obtained, despite no parameter fitting being made. We show that continuum effects increase at low energies, and we confirm that breakup channels enhance the fusion cross sections below the Coulomb barrier.

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  • Received 12 December 2014

DOI:https://doi.org/10.1103/PhysRevC.91.024606

©2015 American Physical Society

Authors & Affiliations

P. Descouvemont1,*, T. Druet1, L. F. Canto2,3, and M. S. Hussein4,5,6

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

  • *pdesc@ulb.ac.be

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Issue

Vol. 91, Iss. 2 — February 2015

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