After reviewing the design of Rebunching Cavities in other projects, such as CERN, SNS, etc., a preliminary design has been selected, both for the electromagnetic design and the cooling scheme of the device. The cooling design consists of four V-shape channels, uniformly distributed around the geometry. Due to the symmetry of the geometry only one of the sectors of one of the halves has been studied and its dimensions are parameterized to facilitate simulations.