Longitudinal Resistive Instabilities of Intense Coasting Beams in Particle Accelerators

摘要: The effect of finite resistance in the vacuum-tank walls on longitudinal stability an intense beam particles accelerator is investigated theoretically. We show that even if particle frequency increasing function energy, wall can render unstable against bunching. In absence spread unperturbed beam, instability occurs with a growth rate proportional to (N/{sigma}){sup 1/2}, where N number and {sigma} conductivity surface material. By means Vlasov equation criterion for obtained. limit highly conducting involves N, geometrical properties accelerator, but not {sigma}. A numerical example presented indicates certain observations behavior MURA 40-Mev-electron may be related phenomenon we investigated.