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We derive the deformed sl(2) Gaudin model with integrable boundaries.Starting from the Jordanian deformation of the SL(2)-invariant Yang R-matrixand generic solutions of the associated reflection equation and the dualreflection equation, the corresponding inhomogeneous spin-1/2 XXX chain isobtained. The quasi-classical expansion of the transfer matrix yields thedeformed sl(2) Gaudin Hamiltonians with boundary terms.

Jordanian deformation of the open sl(2) Gaudin model