Dynamics of shielding of a moving charged particle in a confined electron plasma

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Interaction of hadrons with electron beam in a modulator is an important part of coherent electron cooling (CeC), a novel cooling method for hadron beams. Being an untested technique, the CeC is undergoing a proof-of-principle test at Brookhaven National Laboratory (BNL). Simulation of this process for a realistic electron beam propagating through a realistic quadrupole beamline constitutes a very challenging problem. We successfully used the code SPACE for these simulations and obtained accurate dependences of the modulation process on the position and velocity of ions. We obtained good numerical convergence of simulations and performed verification tests using theoretical predications available for a uniform infinite plasma with κ − 2 velocity distribution. In this paper, we describe simulation methods and results, and report our findings for the CeC modulator in the BNL experiment.

Section: Modulation In Quadrupole Beam Linesupporting

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Simulation studies of modulator for coherent electron cooling

Wang

et al. 2018

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“…A considerable effort has been devoted to theoretical and computational analysis of various aspects of coherent cooling [4,8,[10][11][12]. However, to our knowledge, the theory is still lacking a simple formula that would allow to predict the cooling rate and its scaling with the main parameters of the cooling system, similar to simple formulas available for the traditional electron cooling [13].…”

Section: Introductionmentioning

confidence: 99%

Cooling rate for microbunched electron cooling without amplification

Stupakov¹

2018

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 longitudinal cooling rate and benchmark it against 1D computer simulations. 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.

Collisional simulations of the modulator section in coherent electron cooling

Al Marzouk,

Erdélyi

2024

The first section of any coherent electron cooling (CeC) system is the modulator, where the density of the electron beam is modulated by the copropagating ion beam. This density modulation is a result of Coulomb collisions between the individual particles of the two beams. The pairwise, stochastic part of the interactions impacts the overall performance of the CeC process. We present the first simulations of the density modulations of the electron beams from a collisional picture of the dynamics, considering the proof-of-principle CeC experiments at Brookhaven National Laboratory. These simulations were performed using PHAD, which is the first efficient, large-scale collisional numerical method in beam physics that we have previously developed and benchmarked. Realistic beam distributions and external fields have been optimized to provide strong modulation signals necessary for variations of coherent electron cooling systems. Cooling performance limits and potential collisionless simulation pitfalls are pointed out. Published by the American Physical Society 2024