J. Abad et M. Rios, EXCITATIONS AND THE S-MATRIX FOR AN SU(3) SPIN CHAIN COMBINING (3)-REPRESENTATIONS AND (3-ASTERISK)-REPRESENTATIONS, Journal of physics. A, mathematical and general, 31(10), 1998, pp. 2269-2280
The associated Hamiltonian for an su(3) spin chain combining {3} and {
3} representations is calculated. The ansatz equations for this chain
are obtained and solved in the thermodynamic limit, and the ground st
ate and excitations are described. Thus, relations between the number
of roots and the number of holes in each level have been found. The ex
cited states are characterized by means of these quantum numbers. Fina
lly, the exact S-matrix for a state with two holes is found.