One Dimensional Model for the Interaction of a High Charged Bunched Beam with a Superconducting Cavity

We present a first approach to the longitudinal dynamics of a low energy high charged bunched beam interacting with a multi-cell superconducting cavity. This study assumes as typical the working condition where the energy subctracted by the bunches from the resonating field is a significant amount of the energy stored in the cavity, i.e. in a high beam loading regime.