Bethe Ansatz approach to the three-magnon problem in an infinite $XX$ spin chain with Izing next neighboring ferromagnetic interaction

TL;DR

This paper applies Bethe Ansatz methods to solve the three-magnon problem in an infinite $XX$ spin chain with ferromagnetic interactions, providing explicit state constructions.

Contribution

It introduces a novel approach using both traditional and degenerative Bethe Ansatz to construct three-magnon states in a specific quantum spin chain.

Findings

Explicit three-magnon state constructions

Application of degenerative Bethe Ansatz methods

Enhanced understanding of magnon interactions in $XX$ chains

Abstract

Using the traditional and degenerative discrete-diffractive versions of Bethe Ansatz we construct a rude set of three-magnon states in the infinite $XX$ spin chain with Izing next neighboring ferromagnetic term.