Neutron Capture Cross Sections of Radioactive Nuclei
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NUCLEAR PHYSICS
Neutron Capture Cross Sections of Radioactive Nuclei C. A. Bertulani1
· B. V. Carlson2
Received: 1 October 2020 / Accepted: 5 November 2020 © Sociedade Brasileira de F´ısica 2020
Abstract Alternative methods to calculate neutron capture cross sections on radioactive nuclei are reported using the theory of inclusive non-elastic breakup (INEB) developed by Hussein and McVoy (Nucl. Phys. A. 445, p. 124, 1985). The statistical coupled-channels theory proposed in Bertulani et al. (Eur. Phys. J. Web Conf. 69, 00020, 2014) is further extended in the realm of random matrices. The case of reactions with the projectile and the target being two-cluster nuclei is also analyzed and applications are made for scattering from a deuteron target (Hussein et al. 2020). An extension of the theory to a threecluster projectile incident on a two-cluster target is also discussed. The theoretical developments described here should open new possibilities to obtain information on the neutron capture cross sections of radioactive nuclei using indirect methods. Keywords Neutron capture · Radioactive nuclei · Inclusive reactions
1 Introduction Research on reactions involving radioactive nuclei has provided invaluable information about the properties of nuclei close to the drip line [4, 5, 7]. Furthermore, indirect methods with rare isotopes yield cross sections of neutron capture and of other fusion reactions needed to fill the knowledge gaps in reaction chains such as the r- and s-processes of interest for astrophysics [8]. The experimental information on neutron capture reactions is mostly constrained by capture on stable nuclei. The neutron captures on radioactive nuclei, in particular those near the drip nuclei, are difficult to obtain and are not available or have to be inferred indirectly [5, 6]. Another way to obtain neutron capture cross sections on radioactive nuclei is by means of indirect hybrid reactions. Among others, a few methods used frequently by experimentalists are the surrogate method [9–11], the Trojan horse method [12–16], and the ANC method [17–19]. The surrogate method is most often used to infer neutron capture cross sections for To the Memory of Mahir Hussein C. A. Bertulani
[email protected] 1
Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, TX, USA
2
Departamento de F´ısica, Instituto Tecnol´ogico de Aeron´autica-CTA, 12228-900, S˜ao Jos´e dos Campos, Brazil
fast neutrons on actinide nuclei with the purpose to study fast breeder reactors. In the Trojan horse method, one is interested to extract information on the reaction x + A → y + B by studying a reaction of the form a + A → b + y + B. The ANC method uses transfer reactions to extract asymptotic normalization coefficients useful to calculate radiative capture reactions of the form A + a → B + γ . All these indirect methods have one thing in common: the many-cluster feature of nuclear reactions. The method employed in this article is the inclusive nonelastic breakup (INEB) reaction theory initially d
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