A special set of eigenvectors for the hyperbolic Sutherland systems

We construct the integrals of motion for Sutherland hyperbolic quantum systems of particles with internal degrees of freedom ($su(n)$ spins) interacting with an external field of the Morse potential of an arbitrary strength $\tau^2$. These systems are confined if certain constraints are imposed on $\tau$, the pair coupling constant $\lambda$, and the number of particles. The ground state is described by a wave function of the Jastrow form.