The technological development in the field of high brightness linear accelerators and high
energy/high quality lasers enables today designing high brilliance Compton-X and Gamma-photon
beams suitable for a wide range of applications in the innovative field of nuclear photonics. The
challenging requirements of this kind of source comprise: tunable energy (1–20MeV), very narrow
bandwidth (0.3%), and high spectral density (104 photons/s/eV). We present here a study focused on
the design and the optimization of an electron Linac aimed to meet the source specifications of the
European Extreme Light Infrastructure—Nuclear Physics project, currently funded and seeking for an
innovative machine design in order to outperform state-of-the-art facilities. We show that the phase
space density of the electron beam, at the collision point against the laser pulse, is the main quality
factor characterizing the Linac