Laser beam transport and stabilization considerations for the Gamma Factory proof-of-principle experiment

The Gamma Factory proof-of-principle (GF PoP) experiment consists in colliding high intensity ultrafast laser pulses with ultra-relativistic partially stripped ion beams at the CERN Super Proton Synchrotron (SPS). The experiment represents the first demonstration of fast cooling of ultra- relativistic ion beams and high flux gamma ray production. Such advances are expected to open up many research avenues ranging from atomic and nuclear physics to high energy particle physics. On the optical side, the stringent experimental requirements are translated to laser average powers of the order of 200 kW with 40 MHz repetition rates and femtosecond pulse durations. This phenomenal laser parameter space can only be achieved with state-of-the-art optical systems, with important challenges stemming from the harsh environment of hadronic machines. In this paper we perform a preliminary vibrational analysis of such environment to estimate its impact on the Gamma Factory proof of principle experiment