Theoretical study and simulation of head-on beam-beam compensation

Beam-beam effect is a main factor limiting the performance of colliders. The limitation may be alleviated by compensation techniques. We proposed two types of head-on beam-beam compensation schemes with four beams and analyzed the principle of these schemes in theory. We investigated the effects of head-on beam-beam compensation with an Energy Recovery Linac (ERL) on the proton beam dynamics in SPPC. The beam distribution, tune footprint and beam loss rate are analyzed. From the simulation result, we found that head-on beam-beam compensation can reduce the tune footprint of each bunch and improve the beam lifetime effectively. Therefore bunch current and consequently the luminosity will increase very much with the beam-beam compensation.