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New type of bunch lengthening with cusp catastrophe in electron storage rings New type of bunch lengthening with cusp catastrophe in electron storage rings 平田, 光司 HIRATA, Kohji PETRACCA, Stefania RUGGIERO, Francesco metadata only access © 1991 The American Physical Society Using a simple wake function, it is shown that the equilibrium bunch length in electron storage rings with localized wake can have a cusp-catastrophe behavior. Contrary to the results of the conventional theory for a distributed wake force, the system becomes bistable (period 1 and period 2) and exhibits hysteresis in some region of the parameter space. These features are predicted by a Gaussian approximation and confirmed by multiparticle tracking. American Physical Society 1991-04-01 eng journal article https://ir.soken.ac.jp/records/3283 https://doi.org/10.1103/PhysRevLett.66.1693 10.1103/PhysRevLett.66.1693 00319007 Physical Review Letters Physical Review Letters 66 13 1693 1696