Strong RF Focusing for Luminosity Increase

A luminosity of a circular collider can be increased by squeezing the bunch length at the interaction point (IP). A natural way to decrease the bunch length is to decrease the momentum compaction factor and/or to increase the RF voltage. However, in such a way we cannot obtain short bunches with high currents since wakefields prevent this due to the potential well distortion and the microwave instability. In present paper we propose to use a strong RF focusing (with high RF voltage and high momentum compaction factor) to obtain very short bunches at the IP with progressive bunch elongation towards the RF cavity. This allows placing the most important impedance generating elements near the RF cavity where the bunch is longest thus minimizing the effect of the wakefields