Exchange interactions, Yang-Baxter relations and transparent particles

TL;DR

This paper introduces one-dimensional particle models with exchange interactions satisfying Yang-Baxter relations, including a subclass with reflectionless scattering, and analyzes their thermodynamics using the asymptotic Bethe-ansatz method.

Contribution

It presents a new class of integrable particle models with transparent scattering properties, extending known models like the exchange Calogero model.

Findings

Identification of models with Yang-Baxter consistent exchange interactions

Discovery of a subclass with reflectionless, transparent scattering

Thermodynamics derived via asymptotic Bethe-ansatz

Abstract

We introduce a class of particle models in one dimension involving exchange interactions that have scattering properties satisfying the Yang-Baxter consistency condition. A subclass of these models exhibits reflectionless scattering, in which particles are "transparent" to each other, generalizing a property hitherto only known for the exchange Calogero model. The thermodynamics of these systems can be derived using the asymptotic Bethe-ansatz method.