Exactly solvable models of interacting spin-s particles in one dimension

We consider the eigenspectrum solution of a many-body problem of interacting spin-s particles that can be solvable within the generalized Be the ansatz method. We assume that the interactions are encoded in terms of an arbitrary U(1) invariant factorizable S-matrix. The exact solution of the spin part is based on a unified formulation of the quantum inverse scattering method for an arbitrary (2s + 1)-dimensional monodromy matrix. The respective eigenstates are shown to be given in terms of 2s creation fields by a general new recurrence relation. This allows us to derive the spectrum and the respective Be the ansatz equations.