On the longitudinal stability of cooled coasting ion beams

Author

Nagaitsev, Sergei

Author_Institution

Cyclotron Facility, Indiana Univ., Bloomington, IN, USA

fYear

1993

fDate

17-20 May 1993

Firstpage

3524

Abstract

The longitudinal stability of intense, low momentum spread ion beams is of great interest today, especially in electron-cooled storage rings. Stability conditions are usually formulated as the limitations on the allowed value of beam-chamber coupling impedances. In the case of cooled beams, the effect of cooling can not be neglected if the cooling rate is comparable with the revolution frequency spread. The effect of the electron cooling can be described by the Fokker-Planck equation. In this paper we present a simple analytical method to derive dispersion relations for the longitudinal coasting beam instabilities using a perturbative approach. Numerical examples applied to 45 MeV protons in the IUCF cooling ring are presented

Keywords

Fokker-Planck equation; beam handling techniques; ion beams; particle beam diagnostics; storage rings; 45 MeV; Fokker-Planck equation; IUCF cooling ring; coasting beam instabilities; coasting ion beams; dispersion relations; electron cooling; longitudinal stability; perturbative; storage rings; Cooling; Dispersion; Electrons; Equations; Frequency; Impedance; Ion beams; Optical coupling; Stability; Storage rings;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1993., Proceedings of the 1993

Conference_Location

Washington, DC

Print_ISBN

0-7803-1203-1

Type

conf

DOI

10.1109/PAC.1993.309705

Filename

309705