Measurement and simulation of nonlinear beam-beam mode coupling in the Fermilab Tevatron

Author

Assadi, S. ; Mishra, C.S.

Author_Institution

Fermi Nat. Accel. Lab., Batavia, IL, USA

Volume

2

fYear

1997

fDate

12-16 May 1997

Firstpage

1771

Abstract

The Tevatron beam dynamics has been studied from the “weak-strong” representation of the beam-beam effects for various octupole field settings. A single particle is tracked using TEAPOT in the presence of the other beam. The nonlinearities introduced by the beam-beam forces introduces two unwanted effects: (1) it excites nonlinear resonances; (2) it introduces dispersion of the tunes with amplitude. The strength of nonlinear three mode coupling satisfying the sum rules v₃=v₁±v₂ for various octupole settings are calculated. The higher order spectral analysis results are presented

Keywords

particle beam dynamics; particle beam stability; proton accelerators; storage rings; synchrotrons; Fermilab Tevatron; TEAPOT; Tevatron beam dynamics; beam-beam effects; beam-beam forces; higher order spectral analysis; nonlinear beam-beam mode coupling; nonlinear resonances; nonlinearities; octupole field settings; tune dispersion; weak-strong representation; Detectors; Frequency; Laboratories; Optical coupling; Particle accelerators; Particle beams; Particle tracking; Protons; Resonance; Spectral analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1997. Proceedings of the 1997

Conference_Location

Vancouver, BC

Print_ISBN

0-7803-4376-X

Type

conf

DOI

10.1109/PAC.1997.751002

Filename

751002