“image-graded” Gaudin models and analytical Bethe ansatz Original Research Article

We consider generalized Gaudin models in an external magnetic field corresponding to Lie algebras image, image, image and non-skew-symmetric classical r-matrices with spectral parameters associated with certain image-gradings of the Lie algebras image. Using the connection of this type of the generalized Gaudin models with reflection equation algebras we find the spectrum of the generalized Gaudin hamiltonians and the corresponding Bethe-type equations.