Abstract:
Two-magnon systems in the one-dimensional non-Heisenberg ferromagnet with the nearest, the second nearest and the third nearest neighbours interaction with a spin value $s=1$ are considered. It is proved that under $\Lambda=\pi$ and $J=J_1$ the system has a single
two-magnon bound state, and under $\Lambda=\pi$, $J=2J_1$ it has three such states respectively. Their energies are calculated. If $\Lambda=\pi$ and $J\neq J_1$, $J\neq 2J_1$,
the system is shown to have no more than five two-magnon bound states.
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