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We discovered a simple regime where a near-critical plasma irradiated by alaser of experimentally available intensity can self-organize to producepositrons and accelerate them to ultra-relativistic energies. The laser pulsepiles up electrons at its leading edge, producing a strong longitudinal plasmaelectric field. The field creates a moving gamma-ray collider that generatespositrons via the linear Breit-Wheeler process -- annihilation of twogamma-rays into an electron-positron pair. At the same time, the plasma field,rather than the laser, serves as an accelerator for the positrons. Thediscovery of positron acceleration was enabled by a first-of-its-kind kineticsimulation that generates pairs via photon-photon collisions. Using availablelaser intensities of $10^{22}$$\ $$\rm W/cm^2$, the discovered regime cangenerate a GeV positron beam with divergence angle of $\sim10^{\circ}$ andtotal charge of 0.1$\ $pC. The result paves the way to experimental observationof the linear Breit-Wheeler process and to applications requiring positronbeams.

Positron generation and acceleration in a self-organized photon collider enabled by an ultra-intense laser pulse