Choice of bunch parameters in single pass colliders

To produce adequate luminosity, despite the low collision frequency, single pass collider bunches must be so strongly compressed that space-charge focussing is a dominant feature of the interaction. It is desirable to adjust the energy, particle number, emittance, length, and beta-function to maximize luminosity and minimize disruption. The choice is facilitated by consideration of two-stream equilibria, computer simulation, and scaling. (Auth.)