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A new algebraic Bethe ansatz scheme is proposed to diagonalise classes ofintegrable models relevant to the description of Bose-Einstein condensates indilute alkali gases. This is achieved by introducing the notion of Z-gradedrepresentations of the Yang-Baxter algebra.Comment: 14 pages, latex, no figure

Solvable models of Bose–Einstein condensates: A new algebraic Bethe ansatz scheme