Abstract
A multi-channel algebraic scattering method has been used to solve coupled sets of Lippmann-Schwinger equations for \(\alpha +\)nucleus systems to find the spectra of the compound systems. Finite charge distributions of both nuclei forming the clusters have been used. Initially, single channel evaluations of the lightest of the \(\alpha + \)nucleus compound systems are considered, namely of \(^{6,7}\)Li, \(^{7}\)Be, and \(^{8}\)Be, and of some of their scattering cross sections. Then, a multi-channel investigation of the spectrum of \(^{10}\)Be as the \(\alpha {+} ^6\)He cluster and the of the scattering of the \(\alpha \) from \(^6\)He are reported. Finally, the low energy spectra of \(^{12}\)C, \(^{16}\)O, and of \(^{20}\)Ne are found with the systems considered as the coupling of an \(\alpha \) particle with low-excitation states of the core nuclei: \(^8\)Be, \(^{12}\)C, and \(^{16}\)O, respectively. Collective models have been used to defined the matrices of the interacting potentials.
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Karataglidis, S., Amos, K., Fraser, P.R., Canton, L. (2019). MCAS and \(\alpha \)-Light Mass Nuclei Clusters. In: A New Development at the Intersection of Nuclear Structure and Reaction Theory. Springer, Cham. https://doi.org/10.1007/978-3-030-21070-0_8
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