Cluster states in nuclei as representations of a U(nu + 1) group

@article{Bijker2000ClusterSI,
  title={Cluster states in nuclei as representations of a U(nu + 1) group},
  author={Roelof Bijker and Francesco Iachello},
  journal={Physical Review C},
  year={2000},
  volume={61},
  pages={067305}
}
We propose a description of cluster states in nuclei in terms of representations of unitary algebras U({nu}+1), where {nu} is the number of space degrees of freedom. Within this framework, a variety of situations including both vibrational and rotational spectra, soft and rigid configurations, identical and nonidentical constituents can be described. As an example, we show how the method can be used to study {alpha} clustering configurations in {sup 12}C with point group symmetry D{sub 3h}. (c… 
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