An electron injector for the Electron-Ion Collider based on proton-driven plasma wakefield acceleration

We describe an electron bunch injector scheme based on proton-driven plasma wakefield acceleration for the Electron-Ion Collider. The proton bunches needed to drive the plasma wake are delivered by the existing Blue-Ring of RHIC. The polarized electron source is that in the current EIC design. We describe the different elements making up the injection scheme and give an estimate for the performance. Our initial study indicates that the design parameters of the EIC are within reach when accelerating the electron bunches in the proton-driven plasma wake, with average polarization of ~70% and a luminosity of 1e34 cm${}^{-2}$s${}^{-1}$.