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A new integral equation for three-magnon bound states in XXZ spin chain issuggested. Unlike the one presented by C. K. Majumdar about 40 years ago thisequation does not have spurious solutions. Such an advantage is a result ofdecomposition of the wave function in the Bloch basis rather than in the basisof flat waves.

Free from spurious solutions integral equation for three-magnon bound states in 1D XXZ ferromagnet