Solitons in the Calogero model for distinguishable particles

Details Solitons in the Calogero model for distinguishable particles Solitons in the Calogero model for distinguishable particles

2005-01-27

arxiv.org/abs/hep-th/0501221v1

Europhys.Lett. 72 (2005) 14

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, latex

Scientific paper

10.1209/epl/i2005-10211-3

We consider a large $- N, $ two-family Calogero model in the Hamiltonian, collective-field 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 one-family Calogero model.

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