We study the integrability problem for rung-dimerized spin ladder by the Bethe ansatz in three-magnon sector. It is shown that solvability of the three-magnon problem takes place for the same values of coupling constants in the Hamiltonian which guarantee solvability of the Yang–Baxter equation for the corresponding R-matrix. Bibliography: 15 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 374, 2010, pp. 44–57.
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Bibikov, P.N., Kulish, P.P. The three-magnon problem and integrability of rung-dimerized spin ladders. J Math Sci 168, 781–788 (2010). https://doi.org/10.1007/s10958-010-0026-7
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DOI: https://doi.org/10.1007/s10958-010-0026-7