|Abstract:|| The aim of any cooling process is to reduce the phase-space occupancy of a beam of ions or (anti)protons as quickly as possible. This is of paramount importance in particle accelerators for high-energy physics, where the luminosity delivered to experiments is inversely proportional to the transverse size of the colliding beams. Among the few processes in use, Electron Cooling, where the beam is sent through a magnetized plasma of cold electrons, is the most efficient.
Only few codes that can simulate Electron Cooling exist, with a limited degree of realism. Yet a realistic simulation is crucial to take into account imperfections and improve the performance of the cooler in a real experimental environment. A new numerical model of the Electron Cooling will be presented: a hybrid model based on kinetic ions and fluid electrons, immersed in a solenoidal magnetic field. It combines the challenges of symplectic tracking in particle accelerators with concepts of plasma physics in presence of strong magnetic fields. After a short reminder of the principles involved, the major challenges will be presented and the model explained.