Balantekin, ABDereli, TPehlivan, Yamac2023-06-162023-06-1620050305-44701361-6447https://doi.org/10.1088/0305-4470/38/25/007https://hdl.handle.net/20.500.14365/1806Three well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions, we introduce a class of mutually commuting Hamiltonians based on a different solution of the Gaudin equation. Application of the algebraic Bethe ansatz technique to diagonalize these Hamiltonians reveals a new infinite-dimensional complex Lie algebra.eninfo:eu-repo/semantics/openAccessModelsArticle10.1088/0305-4470/38/25/0072-s2.0-21244479426