Solitons in the Calogero model for distinguishable particles

Abstract

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.

14 pages, no figures, latex

References in corpus (1)

• Matrix oscillator and Calogero-type models

Cited by in corpus (7)

• Solitons and giants in matrix models
• Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
• Hamiltonian formulation of systems with balanced loss-gain and exactly solvable models
• Comment on "Solitons and excitations in the duality-based matrix model"
• Waves and Solitons in the Calogero Model - Revisited
• Fluctuations around Periodic BPS-Density Waves in the Calogero Model
• Solutions of coupled BPS equations for two-family Calogero and matrix models