Abstract
We investigate α-cluster geometries and collectivity in the Bloch-Brink α-cluster model. We find in many cases that the geometrical arrangements of the α-clusters can be derived from relaxed atomic and metallic “cluster” structures. The α-cluster model has a large number of collective degrees of freedom related to this geometrical structure. The most important are quadrupole and octupole deformations and we explain how these arise naturally in the model. Three other collective degrees of freedom are those associated with rotations in the three dimensional internal space defined by Buck et al. and Morinigo. Such rotations enable us to discuss mixing between different α-cluster configurations in a compact and elegant way. We speculate on the relevance of mixing to the excitation of the 6α-chain state in 24Mg.
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