Nonrelativistic factorizable scattering theory of multicomponent Calogero-Sutherland model

Jan, 1995
4 pages
Published in:
  • Phys.Rev.A 54 (1996) 4943-4946
e-Print:
Report number:
  • KHTP-95-01,
  • SNUTP-95-001

Citations per year

19971998199901
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 SS-matrix theory with SU(N)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)SU(N)-invariant Yang-Baxter equations.
Note:
  • 4 pages, latex(uses Revtex), one figure