# Periodic and open classical spin Calogero-Moser chains

## TL;DR

This paper introduces a new class of integrable spin Calogero-Moser systems with superintegrability, bridging many-particle models and spin chains, expanding the understanding of classical integrable systems.

## Contribution

It constructs a novel class of spin Calogero-Moser systems that are both integrable and superintegrable, linking particle systems with spin chains.

## Key findings

- Constructed a new class of integrable spin Calogero-Moser systems.
- Proved the superintegrability of these Hamiltonian systems.
- Established connections between many-particle systems and Gaudin-type spin chains.

## Abstract

We construct a class of interacting spin Calogero-Moser type systems. They can be regarded as a many particle system with spin degrees of freedom and as an integrable spin chain of Gaudin type. We prove that these Hamiltonian systems are superintegrable.