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arXiv · hep-th/9501023

Nonrelativistic Factorizable Scattering Theory of Multicomponent Calogero-Sutherland Model

Changrim Ahn·Kong-Ju-Bock Lee·Soonkeon Nam
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Abstract

We relate two integrable models in (1+1) dimensions, namely, multicomponent Calogero-Sutherland model with particles and antiparticles interacting via the hyperbolic potential and the nonrelativistic factorizable $S$-matrix theory with $SU(N)$-invariance. We find complete solutions of the Yang-Baxter equations without implementing the crossing symmetry, and one of them is identified with the scattering amplitudes derived from the Schrödinger equation of the Calogero-Sutherland model. This particular solution is of interest in that it cannot be obtained as a nonrelativistic limit of any known relativistic solutions of the $SU(N)$-invariant Yang-Baxter equations.

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Changrim Ahn, Kong-Ju-Bock Lee, Soonkeon Nam. 1995-01-09. Nonrelativistic Factorizable Scattering Theory of Multicomponent Calogero-Sutherland Model. https://doi.org/10.1103/physreva.54.4943

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