Abstract
We show that the spherical part of N-particle Calogero model describes, after exclusion of the center of mass, the motion of the particle on (N − 2)-dimensional sphere interacting with N(N − 1)/2 force centers with Higgs oscillator potential. In the case of four-particle system these force centers are located at the vertexes of cuboctahedron. The geometry of the five-particle case is also investigated.
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Yeghikyan, V. Multicenter Higgs oscillators and Calogero model. Phys. Atom. Nuclei 73, 555–558 (2010). https://doi.org/10.1134/S1063778810030208
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DOI: https://doi.org/10.1134/S1063778810030208