Bunch lengthening calculations for the SLC damping rings

Treatments of the problem of bunch lengthening in electron storage rings have hitherto lacked a calculation of bunch lengthening that uses a carefully calculated ring impedance (or wakefield). In the present work, the potential well distortion due to some very simple impedance models is studied in order to illustrate different types of bunch lengthening behavior. A prescription is given for extending potential well calculations into the turbulent regime once the threshold is known. Using the wakefield calculated by K.L.F. Bane (1988) for the SLC (Stanford Linear Collider) damping rings, combined with the measured value of the threshold given by L. Rivkin et al. (1988), the authors calculate bunch lengthening for the damping rings and compare the results with the measurements