Hamiltonian approach to slip-stacking dynamics

TL;DR

This paper applies Hamiltonian dynamics and canonical-perturbation methods to analyze and optimize slip-stacking in particle accelerators, specifically demonstrating improvements for Fermilab's Booster-Recycler complex.

Contribution

It introduces a Hamiltonian-based approach with second-harmonic correction to optimize slip-stacking parameters and enhance stacking efficiency.

Findings

Hamiltonian approach clarifies optimal slip-stacking parameters

Second-harmonic correction improves stacking efficiency

Method applicable to various accelerator complexes

Abstract

Hamiltonian dynamics has been applied to study the slip-stacking dynamics. The canonical-perturbation method is employed to obtain the second-harmonic correction term in the slip-stacking Hamiltonian. The Hamiltonian approach provides a clear optimal method for choosing the slip-stacking parameter and improving stacking efficiency. The dynamics are applied specifically to the Fermilab Booster-Recycler complex. The dynamics can also be applied to other accelerator complexes.