Calculation of accelerator cell of electrons and positrons at the superconducting niobium cavity

The paper is devoted to calculations of accelerating section of a collider which consists of separate hollow cavities energized by microwave power. These cavities are used to accelerate electrons up to sublight velocities. A computer synthesis of forms of a cavity providing the required electrical characteristics was conducted. Promising single-cell cavity designs, which provide up to 10¹⁰ Q at the operating frequency of 1.3 GHz, were found.