Tune Shifts for Coasting Beams Crossing at Small Angles

摘要

Results are presented for the beam-beam nu-shifts for beams crossing at a small angle alpha . The beams are not round and have elliptic gaussian charge distributions. The conditions under which the results are valid are discussed. The results include long range effects, and effects of the cut-off of the beam-beam interaction. The theoretical results are compared with those obtained by numerical computation. (ERA citation 09:046496)