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A previously unexplored experimental scheme is presented for generatinglow-divergence, ultra-dense, relativistic, electron-positron beams using 400GeV/c protons available at facilities such as HiRadMat and AWAKE at CERN.Preliminary Monte-Carlo and Particle-in-cell simulations demonstrate thepossibility of generating beams containing $10^{13}-10^{14}$ electron-positronpairs at sufficiently high densities to drive collisionless beam-plasmainstabilities, which are expected to play an important role in magnetic fieldgeneration and the related radiation signatures of relativistic astrophysicalphenomena. The pair beams are quasi-neutral, with size exceeding severalskin-depths in all dimensions, allowing for the first time the examination ofthe effect of competition between transverse and longitudinal instability modeson the growth of magnetic fields. Furthermore, the presented scheme allows forthe possibility of controlling the relative density of hadrons toelectron-positron pairs in the beam, making it possible to explore theparameter spaces for different astrophysical environments.

Generating ultra-dense pair beams using 400 GeV/c protons