Numerical calculations of the electron beam emittance for laser acceleration experiments

At the E6 experimental area at ELI-NP, two 10 PW Laser (pump and probe) pulses, with their directions making an 135° angle, will be used for the study of the radiation reaction, non-linear Thomson scattering, electron beam cooling and other QED phenomena in the relativistic regime. The pump 10 PW Laser beam focused in a gas-jet will generate a plasma wakefield that accelerate electrons by self-injection. The probe 10PW Laser pulse has to be synchronized and focused on the electron bunch. In order to maximize the flux of gamma rays produced in this collision, for a given Laser field intensity, the transversal area of the electron beam at the collision point has to be smaller than the focus of the probe pulse. This work presents the calculation of electron beam emittance and angular divergence, versus the distance traveled by electron bunch in vacuum. A configuration of dipole permanent magnets is proposed for the study of energy distribution of electrons and positrons.