  In this work, we study the wavefunctions of the one dimensional $1/r$ Hubbard
model in the strong interaction limit $U =\infty$. A set of Gutzwiller-Jastorw
wavefunctions are shown to be eigen-functions of the Hamiltonian. The entire
excitation spectrum and the thermodynamics are also studied in terms of more
generalized Jastrow wavefunctions. For the wavefunctions and integrability
conditions at finite on-site energy, further investigations are needed.
