Multicenter Higgs oscillators and Calogero model

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778810030208· OSTI ID:21426748

Yeghikyan, V ^[1]

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1. Yerevan State University (Armenia)

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.

• OSTI ID: 21426748
• Journal Information: Physics of Atomic Nuclei, Vol. 73, Issue 3; Other Information: DOI: 10.1134/S1063778810030208; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CENTER-OF-MASS SYSTEM
HIGGS BOSONS
HIGGS MODEL
MANY-BODY PROBLEM
MANY-DIMENSIONAL CALCULATIONS
OSCILLATORS
PARTICLE MODELS
SPHERICAL CONFIGURATION
BOSONS
CONFIGURATION
ELECTRONIC EQUIPMENT
ELEMENTARY PARTICLES
EQUIPMENT
MATHEMATICAL MODELS
POSTULATED PARTICLES