The cuboctahedric Higgs oscillator from the rational Calogero model

@article{Hakobyan2008TheCH,
  title={The cuboctahedric Higgs oscillator from the rational Calogero model},
  author={Tigran Hakobyan and Armen Nersessian and Vahagn Yeghikyan},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2008},
  volume={42},
  pages={205206}
}
We exclude the center of mass of the N-particle rational Calogero model and consider the angular part of the resulting Hamiltonian. We show that it describes the motion of the particle on an (N − 2)-dimensional sphere interacting with N(N − 1)/2 force centers with Higgs oscillator potential. In the case of a four-particle system, these force centers define the vertexes of an Archimedean solid called a cuboctahedron. 
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