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In the Bogomol'nyi limit of the Calogero-Sutherland collective-field model we find static-soliton solutions. The solutions of the equations of motion are moving solitons, having no static limit for λ > 1. They describe holes and lumps, depending on the value of the statistical

We discuss the behavior of the Calogero model and the related model of deformed oscillators with the S_N extended Heisenberg algebra for a special value of the constant of interaction/statistical parameter nu. The problem with finite number of deformed oscillators is analyzed in the algebraic approach, while collective-field theory has been used to investigate the large-N limit. In this limit, system reduces to a large number of collapsing (free) particles, for nu=-1/N.Comment: Revtex, 7 pages, final version, to appear in PL

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We consider a large −N, two-family Calogero model in the Hamiltonian, collectivefield approach. The Bogomol'nyi limit appears and the corresponding solutions are given by the static-soliton configurations. Solitons from different families are localized at the same place. They behave like a paired hole and lump on the top of the uniform vacuum condensates, depending on the values of the coupling strengths.When the number of particles in the first family is much larger than that of the second family, the hole solution goes to the vortex profile already found in the onefamily Calogero model.