On Two Solvable Models of Coherent Beam-Beam Interaction

The spectra of linear coherent oscillations due to beam-beam interaction are calcula&d in the paper for two model distributions in unperturbed bunches.In both cases the calculations predict the splitting of coherent spectra of any multipole mode onto generally infinite amount of submodes with well defined ground state.Among other general features, the influence of Landau damping on the stability of coherent beam-beam oscillations is discussed.

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