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Physics of Atomic Nuclei

, Volume 73, Issue 3, pp 555–558 | Cite as

Multicenter Higgs oscillators and Calogero model

  • V. Yeghikyan
Elementary Particles and Fields Theory
  • 39 Downloads

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.

Keywords

Atomic Nucleus Discrete Symmetry Force Center Dimensional Sphere Spherical Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Yerevan State UniversityYerevanArmenia

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