Title :
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
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;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.751002
