Three magnons in an isotropic $S=1$ ferromagnetic chain as an exactly solvable non-integrable system

Abstract

It is shown that a generalization of Bethe Ansatz based on an utilization of {\it degenerative discrete-diffractive} wave functions solves the three-magnon problem for the $S=1$ isotropic ferromagnetic infinite chain. The four-magnon problem is briefly discussed.

13 pages

References in corpus (3)

• Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
• Diffractive scattering of three particles in one dimension: a simple result for weak violations of the Yang--Baxter equation
• Second cluster integral from the spectrum of an infinite XXZ spin chain

Cited by in corpus (5)

• Exact Excited States of Non-Integrable Models
• Hidden Bethe states in a partially integrable model
• Exact solutions of few-magnon problems in the spin-$S$ periodic XXZ chain
• Dynamical Spin Chains in 4D $\mathcal{N}=2$ SCFTs
• Bethe Ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets