# 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…

## 78 Citations

Algebraic cluster models calculations for shape phase transitions of boson-fermion systems

- Physics
- 2019

The Algebraic Cluster Model(ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from…

Algebraic cluster models calculations for shape phase transitions of boson-fermion systems

- Physics
- 2019

The Algebraic Cluster Model(ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from…

Symmetries and order in cluster nuclei

- PhysicsSymmetries and Order: Algebraic Methods in Many Body Systems: A symposium in celebration of the career of Professor Francesco Iachello
- 2019

It is shown that the rotational band structure of the cluster states in 12C and 16O can be understood in terms of the underlying discrete symmetry that characterizes the geometrical configuration of…

Geometrical symmetries of nuclear systems: D(3h) and T(d) symmetries in light nuclei

- Physics
- 2016

The role of discrete (or point-group) symmetries in alpha-cluster nuclei is discussed in the framework of the algebraic cluster model which describes the relative motion of the alpha-particles.…

The structure of rotational bands in alpha-cluster nuclei

- Physics
- 2015

In this contribution, I discuss an algebraic treatment of alpha-cluster nuclei based on the introduction of a spectrum generating algebra for the relative motion of the alpha-clusters. Particular…

On the symmetries of the 12C nucleus

- Physics
- 2016

The consequences of some symmetries of the three-alpha system are discussed. In particular, the recent description of the low-energy spectrum of the 12C nucleus in terms of the Algebraic Cluster…

The structure of rotational bands in alpha-cluster nuclei

- Physics
- 2014

In this contribution, I discuss an algebraic treatment of alpha-cluster nuclei based on the introduction of a spectrum generating algebra for the relative motion of the alpha-clusters. Particular…

New symmetry of the cluster model

- Physics
- 2015

A new approach to clustering in the frame of the Algebraic Cluster Model (ACM) has been developed. It predicts rotation-vibration structure with rotational band of an oblate equilateral triangular…