Theories for correlating impedance computations with beam-based measurements in electron storage rings

Abstract

As a stationary solution of the Vlasov-Fokker-Planck equation, the Haissinski equation predicts the equilibrium line density of a bunch circulating in a storage ring for a given wake function. Here, we show that, from the Haissinski equation, a few principles can be derived in a sef-consistent way and provide assistance in connecting impedance computations to beam-based measurements at electron storage rings.Comment: 5 pages, 6 figure