Abstract
Our present understanding of the structure of the Hoyle state in ^{12}C and other near-threshold states in alpha -conjugate nuclei is reviewed in the framework of the alpha -condensate model. The ^{12}C Hoyle state, in particular, is a candidate for alpha -condensation, due to its large radius and alpha -cluster structure. The predicted features of nuclear alpha -particle condensates are reviewed along with a discussion of their experimental indicators, with a focus on precision break-up measurements. Two experiments are discussed in detail, firstly concerning the break-up of ^{12}C and then the decays of heavier nuclei. With more theoretical input, and increasingly complex detector setups, precision break-up measurements can, in principle, provide insight into the structures of states in alpha -conjugate nuclei. However, the commonly-held belief that the decay of a condensate state will result in Nalpha -particles is challenged. We further conclude that unambiguously characterising excited states built on alpha -condensates is difficult, despite improvements in detector technology.
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