Multicenter Higgs oscillators and Calogero model
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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.
KeywordsAtomic Nucleus Discrete Symmetry Force Center Dimensional Sphere Spherical Part
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