The dynamical structure factor S(q,Ο) of the SU(K) (K=2,3,4)
Haldane-Shastry model is derived exactly at zero temperature for arbitrary size
of the system. The result is interpreted in terms of free quasi-particles which
are generalization of spinons in the SU(2) case; the excited states relevant to
S(q,Ο) consist of K quasi-particles each of which is characterized by a
set of K-1 quantum numbers. Near the boundaries of the region where
S(q,Ο) is nonzero, S(q,Ο) shows the power-law singularity. It is
found that the divergent singularity occurs only in the lowest edges starting
from (q,Ο)=(0,0) toward positive and negative q. The analytic result
is checked numerically for finite systems via exact diagonalization and
recursion methods.Comment: 35 pages, 3 figures, youngtab.sty (version 1.1