Factorization of Multiparticle Scattering in the Heisenberg Spin Chain
Anastasia Doikou, Luca Mezincescu, Rafael I. Nepomechie

TL;DR
This paper provides a rigorous proof of the factorization of multiparticle scattering in the antiferromagnetic spin-1/2 Heisenberg chain using Bethe Ansatz, specifically for three particles, enhancing understanding of integrable models.
Contribution
It offers the first explicit proof of multiparticle scattering factorization for three particles in the Heisenberg spin chain within the Bethe Ansatz framework.
Findings
Confirmed the factorization property for three-particle scattering
Validated the Bethe Ansatz/string hypothesis in this context
Strengthened the theoretical foundation of integrable spin chains
Abstract
We give an explicit proof within the framework of the Bethe Ansatz/string hypothesis of the factorization of multiparticle scattering in the antiferromagnetic spin-1/2 Heisenberg spin chain, for the case of 3 particles.
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