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We consider the exact solution of a model of correlated particles, which ispresented as a system of interacting XX and Fateev-Zamolodchikov chains. Thismodel can also be considered as a generalization of the multiband anisotropic$t-J$ model in the case we restrict the site occupations to at most twoelectrons. The exact solution is obtained for the eigenvalues and eigenvectorsusing the Bethe-ansatz method.Comment: 10 pages, no figure

Integrable model of interactingXXand Fateev-Zamolodchikov chains