2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57520A special case of the Gaudin model related to the superalgebra $osp(1,2)$ is investigated. An exact solution for the model in the spin-1/2 representation is presented. A complete set of commuting observables is diagonalized and the corresponding eigenvectors and eigenvalues are explicitly calculated. The approach used in this paper is based on the co-algebra symmetry of the model, already known from the spin-1/2 Calogero-Gaudin system.20 pages, LatexMathematical PhysicsCondensed MatterExactly Solvable and Integrable Systemstext