Laser ponderomotive electron-positron collider

Relativistic ultrahigh laser fields can produce plasmas through quantum mechanical tunneling ionization mechanism, and accelerate produced electrons and ions to generate a relativistic electron beam and energetic ions in plasmas. This process will be followed by creation of electron-positron pairs through interaction of relativistic electrons with a Coulomb field of a nucleus in plasma ions or a strong laser field. In a relativistic strong laser field, the longitudinal accelerating force exerted on an electron is proportional to the square of the electric field, whereas the transverse quivering force is just linearly proportional to it. This is essence of the relativistic ponderomotive acceleration that dominantly produces energetic particles in interaction of ultraintese laser fields with particle beams and plasma. Therefore a tightly focused laser field can accelerate an electron-positron bunch longitudinally up to a remarkable energy and at the same time confines it transversely in the superposed ponderomotive potential of an intense ultrashort laser pulse. Here we propose acceleration and focusing of the electron-positron pair beam by the ponderomotive acceleration scheme to compose a high energy electron-positron collider with very high luminosity.