The influence of nonlinear processes and travelling focus on luminosity in elektron-positron Erl-ring type collider

One of the most important parameter that determines the performance of an accelerator is the Luminosity that gives the number of particles interacting in a second in the one square centimeter area of the collider and determines the performance of the collider. There are many factors that determine the Luminosity. One of them is incoherent processes. In this study, the effect of nonlinear-processes on luminosity of electron-positron colliders with ERL-ring type collider with center of mass energy 3.77 GeV is investigated in Breit-Wheeler, Breit-Heitler and Landau-Lifshitz processes. Furthermore the crab waist effect and travelling focus (dynamic focus) of colliding beams effects on the Luminosity has been discussed. In this study, CAIN 2.42 computer simulation program was used for Luminosity. Using the simulation program, nonlinear-processes in electron-positron parameter sets were calculated for energy recovery linac (erl)-ring type colliders including travelling focus and crab waist. Keywords: ERL - ring type colliders, nonlinear processes, travelling focus, Luminosity, CAIN 2.42.