Cooling Rate for Microbunched Electron Cooling without Amplification

TL;DR

This paper develops a new analytical framework for Microbunched Electron Cooling (MBEC), deriving a formula for the cooling rate, benchmarking it with simulations, and exploring potential amplification methods to improve cooling efficiency in collider systems.

Contribution

It introduces a novel microscopic fluctuation-based framework for MBEC analysis, providing analytical formulas and simulation validation, and discusses plasma-based amplification for enhanced cooling.

Findings

Analytical formula for MBEC cooling rate derived and validated.

Cooling time for eRHIC parameters calculated, showing limitations.

Potential plasma amplification could increase electron signal by two orders of magnitude.

Abstract

The Microbunched Electron Cooling (MBEC) proposed by D. Ratner is a promising cooling technique that can find applications in future hadron and electron-ion colliders. In this paper, we develop a new framework for the study of MBEC which is based on the analysis of the dynamics of microscopic 1D fluctuations in the electron and hadron beams during their interaction and propagation through the system. Within this framework, we derive an analytical formula for the cooling rate and benchmark it against 1D computer simulations with a agreement between the analytical and numerical results. We then calculate the expecting cooling time for a set of parameters of the proposed electron-ion collider eRHIC in a simple cooling system with one chicane in the electron channel. While the cooling rate in this system turns out to be insufficient to counteract the intra-beam scattering in the proton beam, we discuss how the electron signal can be amplified by two orders of magnitude through the use of plasma effects in the beam.