Analysis of Fusion Cross Sections in the 9 Be Projectile Breakup on Different Target Nuclei
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NUCLEAR PHYSICS
Analysis of Fusion Cross Sections in the 9 Be Projectile Breakup on Different Target Nuclei B. Mukeru1 · Lauro Tomio2 Accepted: 3 September 2020 © Sociedade Brasileira de F´ısica 2020
Abstract We present a theoretical study of total fusion (TF), complete fusion (CF), and incomplete fusion (ICF) cross sections in the breakup of 9 Be (described as n−8 Be) projectile on 124 Sn, 144 Sm and 208 Pb 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 energydependent 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. Keywords Fusion reactions · Cross sections · 9 Be breakup
1 Introduction A significant progress in the investigation of nuclear reactions induced by loosely bound projectiles has been verified in the last few decades, from both theoretical and experimental perspectives. In order to follow the long-time investigations and actual renewed interest on nuclear reactions with weakly bound system, several detailed reports and books were produced along these last decades, which can be exemplify by Refs. [1–5], from where most of the relevant related works can be found among their references. Apart from the traditionally well-known total fusion (TF) cross section, two other fusion processes have emerged from the study of the projectile breakup on fusion process, namely complete fusion (CF) and incomplete fusion (ICF) Lauro Tomio
[email protected] B. Mukeru [email protected] 1
Department of Physics, University of South Africa, P.O. Box 392, Pretoria, 0003, South Africa
2
Instituto de F´ısica T´eorica, Universidade Estadual Paulista, S˜ao Paulo, SP, 01140-070, Brazil
processes. After the projectile has been broken up prior to reaching the absorption region due to its interaction with the target nucleus, the resulting fragments can be sequentially absorbed by the target; some may survive absorption, depending on the prevailing reaction dynamics. When the whole charge of the projectile nucleus is absorbed but not necessarily its whole mass, the process is referred to as complete fusion [4, 5]. This occurs with one-neutron weakly bound projectiles nuclei, such as 9 Be → 8 Be + n, 11 Be→10 Be+n, 8 Li→7 Li+n, where the core nucleus contains the whole projectile charge. For clusters core-nuclei (as 6 Li→ α+2 H, 7 Li→ α+3 H, 10 B→ 6 Li+α, etc. ) or nuclei with weakly bound proton (as 8 B → 7 Be + p), the absorption of one of the
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