The First Particle-Based Proof of Principle Numerical Simulation of Electron Cooling

Future particle accelerators require high luminosities in order to make precise measurements during collisions.~The proposed electron ion collider at JLAB (JLEIC) has targeted~an~ultra-high luminosity of 10$^{\mathrm{34}}$ cm$^{\mathrm{-2}}$s$^{\mathrm{-1}}$.~Reducing emittance growth is one key requirement to achieving high luminosity. Emittance growth is reduced by a process known as electron cooling, where a `cold' electron beam is co-propagated with a `hot' proton or ion beam in the cooling section of the accelerator.~~In order to estimate the cooling time accurately, the cooling force among particles needs to be precisely calculated. To this end, we have~developed a high performance computer code which allows to simulate electron cooling. Our code is the first particle-based simulation of electron cooling. In this work, we present the first results obtained that establish electron cooling of heavy ions.~