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Theory of the friction force using electron cooling as an intrabeam scattering process
George Parzen
Using the results found previously for the cooling rates of the emittances, due to collisions between the electrons and the ions, a result is found for the friction force acting on…
Theory of electron cooling using electron cooling as an intrabeam scattering process
George Parzen
Electron cooling that results when a bunch of electrons overlaps a bunch of ions , with both bunches moving at the same velocity, may be considered to be an intrabeam scattering pr…
Intrabeam scattering growth rates for a bi-gaussian beam
George Parzen
This note finds results for the intrabeam scattering growth rates for a bi-gaussian distribution. The bi-gaussian distribution is interesting for studying the possibility of using…
A reformulation of intrabeam scattering theory
George Parzen
The motivation for the treatment of intrabeam scattering theory given in this paper was to find results which would be convenient for computing the intrabeam scattering growth rate…
Island Resonances
G. Parzen
Resonances driven by the error field multipoles in the magnets often show themselves as islands in phase plots of the particle motion. In order to be able to measure the strength o…
Electric fields of a uniformly charged elliptical beam
G. Parzen
This paper presents results for the electric field due to a uniformly charged elliptical beam in the region outside the beam.
Prediction of long term stability by extrapolation
G. Parzen
This paper studies the possibility of using the survival function to predict long term stability by extrapolation. The survival function is a function of the initial coordinates an…
Theory of the tune shift due to linear coupling
G. Parzen
The presence of skew quadrupole fields will linearly couple the x and y motions. The x and y motions can then be written as the sum of two normal modes >. This paper presents analy…
The Dynamic Aperture and the High Multipole Limit
G. Parzen
Tracking studies have indicated that for a lattice whose elements all have a single field multipole present, all having the same order k, the dynamic aperture approaches a non zero…