Abstract
The technique of microbunched electron cooling (MBEC) is a coherent cooling scheme with possible applications in high-energy hadron and electron-ion machines. In our previous work we analyzed the cooling of the hadron energy spread and transverse emittance using a one-dimensional (1D) technique that tracked the microscopic fluctuations in the hadron and electron beams. However, in order to obtain analytical expressions for our key quantities, we limited ourselves to calculating and optimizing only the initial values of the cooling rates. In this paper, we extend our approach so that it properly addresses the issue of the long-term, dynamic evolution of the hadron beam. In order to do so, it becomes necessary to consider the synchrotron motion of the hadron beam, in conjunction with the effects of diffusion and intrabeam scattering (IBS). With these modifications, our formalism allows us to develop a simple numerical tool that can effectively model the final state of hadron beam after many passages through the MBEC cooler.
Highlights
In order to achieve the challenging brightness requirements for the hadron beam in prospective hadron-hadron or electron-ion circular colliders, various coherent cooling schemes have been proposed as a possible solution [1,2]
While other coherent cooling schemes make use of the free-electron-laser (FEL) effect [2], in microbunched electron cooling (MBEC, proposed in [3]) one relies on the principle of the space charge amplifier in order to boost the bunching of the cooler electron beam: the plasma oscillations induced in the electron beam during its passage through a drift stage result in energy modulation, which is translated into enhanced density
Our formalism enables us to develop a kinetic equation for the cooling process, which leads to an efficient numerical tool that can model the evolution of the hadron beam over an arbitrary number of passages through the cooler
Summary
In order to achieve the challenging brightness requirements for the hadron beam in prospective hadron-hadron or electron-ion circular colliders, various coherent cooling schemes have been proposed as a possible solution [1,2] In all these techniques, random fluctuations in the hadron beam lead to an energy modulation being imprinted onto a co-propagating electron beam through the space charge interaction. We need to take into account other important effects such as diffusion and intrabeam scattering (IBS) With these modifications, our formalism enables us to develop a kinetic equation for the cooling process, which leads to an efficient numerical tool that can model the evolution of the hadron beam over an arbitrary number of passages through the cooler.
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