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Hybrid model of separable, zero-range, few-body interactions in one-dimensional harmonic traps

Hybrid model of separable, zero-range, few-body interactions in one-dimensional harmonic traps

This paper introduces a model for a few repulsively interacting particles trapped in a one-dimensional harmonic well and provides exact solutions for the three-particle case. This model is a hybrid of two other well-known systems, the Calogero model and the contact-interaction model, and coincides with them in limiting cases. However, …