Accelerator-Feasible N-Body Nonlinear Integrable System

TL;DR

This paper introduces a new nonlinear N-body integrable Hamiltonian system that can be implemented in particle accelerators, offering practical advantages over previous models with unphysical forces.

Contribution

It presents a novel integrable system suitable for physical realization in accelerators, expanding the applicability of N-body integrable models.

Findings

New integrable N-body system proposed

System feasible for implementation in accelerators

Potential for practical applications in physics

Abstract

Nonlinear N-body integrable Hamiltonian systems, where N is an arbitrary number, attract the attention of mathematical physicists for the last several decades, following the discovery of some number of these systems. This paper presents a new integrable system, which can be realized in facilities such as particle accelerators. This feature makes it more attractive than many of the previous such systems with singular or unphysical forces.