Nonrelativistic Factorizable Scattering Theory of Multicomponent Calogero-Sutherland Model

Details Nonrelativistic Factorizable Scattering Theory of Multicomponent Calogero-Sutherland Model Nonrelativistic Factorizable Scattering Theory of Multicomponent Calogero-Sutherland Model

1995-01-09

arxiv.org/abs/hep-th/9501023v1

Phys.Rev.A54:4943-4946,1996

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, latex(uses Revtex), one figure

Scientific paper

10.1103/PhysRevA.54.4943

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 Schr\"{o}dinger 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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