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Analysis of Fusion Cross Sections in the 9Be Projectile Breakup on Different Target Nuclei

  • Nuclear Physics
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Abstract

We present a theoretical study of total fusion (TF), complete fusion (CF), and incomplete fusion (ICF) cross sections in the breakup of 9Be (described as n −8Be) projectile on 124Sn, 144Sm and 208Pb target nuclei. We use the continuum discretized coupled-channel formalism together with a sum-rule model, by extending an approach outlined in Mukeru et al. (Nucl. Phys. A 996:121700, 2020) to another weakly bound projectile in different targets. The applicability of the model to incident energies below and around the Coulomb barrier is verified, being confirmed for all three reactions an empirical energy-dependent cutoff angular momentum expression. We show that the TF and ICF cross sections are strongly dependent on the projectile binding energy εb, whereas the CF is weakly affected by that. Despite this weak dependence, the CF contribution to the TF cross section becomes more suppressed by decreasing εb. The dependence of the ICF probability on the breakup threshold is also highlighted.

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Acknowledgements

This article is dedicated to the memory of Prof. Mahir Salem Hussein, for his relevant contributions in Physics, and in particular to the topic of his work.

Funding

LT received partial support from Conselho Nacional de Desenvolvimento Científico e Tecnológico (Procs. 464898/2014-5 and 304469/2019-0) and Fundação de Amparo à Pesquisa do Estado de São Paulo (Proj. 2017/05660-0).

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  1. Department of Physics, University of South Africa, P.O. Box 392, Pretoria, 0003, South Africa

    B. Mukeru

  2. Instituto de Física Téorica, Universidade Estadual Paulista, São Paulo, SP, 01140-070, Brazil

    Lauro Tomio

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  1. B. Mukeru
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Correspondence to Lauro Tomio.

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Mukeru, B., Tomio, L. Analysis of Fusion Cross Sections in the 9Be Projectile Breakup on Different Target Nuclei. Braz J Phys 51, 157–169 (2021). https://doi.org/10.1007/s13538-020-00797-0

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