Plasma Instability in Electron and Positron Colliding Beams in Storage Ring.
Abstract
The filamentation instability of the electron and positron colliding beams in a storage ring are investigated within the framework of the rigid beam model and the Vlasov-Maxwell equations, and closed algebraic dispersion relations for the complex eigenfrequency omega are obtained. It is shown that the typical growth rate of instability is a substantial fraction of the electron plasma frequency omega(pe), thereby severely limiting the electron density in storage ring. Moreover, the influence of collective self-field effects on the electron and positron colliding beams in the storage ring is investigated. The analysis is carried out, distinguishing the cases, where (a) the particle motions are in a very coherent orbit, and (b) the randomness dominates the operational condition of a storage ring (e.g., the incoherent collision location by small fluctuation, etc.) In either case, it is shown that the self-fields effects play a dominant role in the stability behavior of transverse orbit or the expansion of the beam cross sections. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1980
- Accession Number
- ADA087733
Entities
People
- Chuan S. Liu
- Han S. Uhm
Organizations
- University of Maryland