Design of a beam position sensitive cavity as a Schottky noise detector for mass measurements in CR rate at FAIR

Mass is one of fundamental characteristics of a nucleus. It plays an important role in many areas of physics, as well as other science branches. Especially in nuclear astrophysics, the masses of unstable nuclei close to nucleon drip lines are of great interests, since they are indispensable quantities for modelling nucleosynthesis processes in stellar objects. The Facility for Antiproton and Ion Research (FAIR), by providing high-intensity high-energy secondary beams, will enable unprecedented opportunities to investigate such nuclei. In particular, the collector ring (CR) is designed to be operated in the isochronous ion-optical mode as a high precision mass spectrometer. In order to satisfy the stringent requirements on accuracy and sensitivity for the future mass measurements, a non-destructive detector that is sensitive to single ions is being developed. Owing to the position sensitivity, it will be possible to correct for errors originating from different orbit lengths. In this work, we present simulation results of several possible designs of a cavity-based detector and discuss their potential applications as Schottky-noise detectors.