“…The potential of incoming beam is written as [8] Uðx;y; s;zÞ where r e is classical electron radius, γ is Lorentz factor, N p is amount of particles, σ x;y;z is horizontal, vertical, and longitudinal beam sizes, 2θ is crossing angle, x; y; s is horizontal, vertical, and longitudinal coordinates, and z ¼ s − ct is the particle's position with respect to the center of the bunch and describes synchrotron oscillations. For simplicity, we will neglect the particle's synchrotron oscillations therefore z ¼ 0.…”