Application of the Green's Function Method to Some Nonlinear Problems of an Electron Storage Ring Part IV - Study of a Weak Beam Interaction with a Flat Strong Beam

Technical Report · Fri Jul 01 04:00:00 EDT 1983

DOI:https://doi.org/10.2172/1446860· OSTI ID:1446860

Kheifets, S. ^[1]

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1. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Attempts to describe analytically the beam-beam interaction in a storage ring are as numerous as they are disappointing and frustrating. One can find in the literature many different theoretical approaches - single resonance models, trapping, linear approximations, resonance overlap models, applications of Lie algebra, etc. None of them give a satisfactory explanation of the observed phenomena either quantitively or even qualitatively. At the same time the beam-beam instability is the most common limiting phenomenon for practically all storage rings. At least, it seems that all other observed instabilities are understood much better than the beam-beam instability and one or another cure has been found for them. This justifies endless continuous attempts (including the present one) to describe theoretically the beam-beam phenomenon.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 1446860
• Report Number(s): SLAC-PUB--3155; SLAC/AP-4
• Country of Publication: United States
• Language: English

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