Electron cooling: 35 years of development

Parkhomchuk, V. V.; Скринский, Александр Николаевич

doi:10.1070/pu2000v043n05abeh000741

Cited by 58 publications

(26 citation statements)

References 15 publications

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“…For the cooling in strong guiding magnetic fields the comparison of the results of the described analytic calculations and of simulations presented in Refs. [4] and [3] indicates better qualitative agreement than between these simulations and the interpolation formula in Eq. (1).…”

Section: Resultsmentioning

confidence: 71%

“…For example, in the case of a Gaussian distribution the predicted behavior of the cooling force and of its power do not indicate significant deviations from the results of the simulations discussed in Refs. [3] and [4]. For the cooling in strong guiding magnetic fields the comparison of the results of the described analytic calculations and of simulations presented in Refs.…”

Section: Resultsmentioning

confidence: 99%

“…in Ref. [3]) the designs of new electron cooling devices, or of the ion storage rings with electron cooling definitely should take into account this effect.…”

Section: Introductionmentioning

confidence: 99%

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Longitudinal cooling force due to magnetized electrons

Pestrikov

2005

Nuclear Instruments and Methods in Physics Research Section A:

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Section: Resultsmentioning

confidence: 71%

Section: Resultsmentioning

confidence: 99%

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Longitudinal cooling force due to magnetized electrons

Pestrikov

2005

Nuclear Instruments and Methods in Physics Research Section A:

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“…Note that Eqs. (31) and (32) can be also obtained from Eqs. (29) and (30), respectively, in the case of a completely flattened distribution function of the electrons in the limit T → 0 when the distribution function (15) is given by a delta-function with respect to v e .…”

Section: A Cooling Force Eq (14) At Vanishing and Infinitely Strongmentioning

confidence: 99%

Cooling force on ions in a magnetized electron plasma

Nersisyan

Zwicknagel

2013

Phys. Rev. ST Accel. Beams

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Electron cooling is a well-established method to improve the phase space quality of ion beams in storage rings. In the common rest frame of the ion and the electron beam the ion is subjected to a drag force and it experiences a loss or a gain of energy which eventually reduces the energy spread of the ion beam. A calculation of this process is complicated as the electron velocity distribution is anisotropic and the cooling process takes place in a magnetic field which guides the electrons. In this paper the cooling force is calculated in a model of binary collisions (BC) between ions and magnetized electrons, in which the Coulomb interaction is treated up to second-order as a perturbation to the helical motion of the electrons. The calculations are done with the help of an improved BC theory which is uniformly valid for any strength of the magnetic field and where the second-order two-body forces are treated in the interaction in Fourier space without specifying the interaction potential. The cooling force is explicitly calculated for a regularized and screened potential which is both of finite range and less singular than the Coulomb interaction at the origin. Closed expressions are derived for monochromatic electron beams, which are folded with the velocity distributions of the electrons and ions. The resulting cooling force is evaluated for anisotropic Maxwell velocity distributions of the electrons and ions.

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“…The electron cooling technique, suggested by Budker in 1966, has been largely used for this purpose [1]. Nevertheless, the coexistence of positive ions and electrons leads to a certain amount of recombinations, and the study of this phenomenon has encountered a problem that is not completely solved up to now, i.e.…”

Section: Introductionmentioning

confidence: 99%

Nonextensive interpretation of radiative recombination in electron cooling

2006

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An interest for the low-energy range of the nonextensive distribution function arises from the study of radiative recombination in electron cooling devices in particle accelerators, whose experimentally measured reaction rates are much above the theoretical prediction. The use of generalized distributions, that differ from the Maxwellian in the low energy part (due to subdiffusion between electron and ion bunches), may account for the observed rate enhancement. In this work, we consider the isotropic distribution function and we propose a possible experiment for verifying the existence of a cut-off in the generalized momentum distribution, by measuring the spectrum of the X-rays emitted from radiative recombination reactions.

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Electron cooling: 35 years of development

Cited by 58 publications

References 15 publications

Longitudinal cooling force due to magnetized electrons

Longitudinal cooling force due to magnetized electrons

Cooling force on ions in a magnetized electron plasma

Nonextensive interpretation of radiative recombination in electron cooling

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