“…This high value can be obtained * by exploiting low-beta insertions, head-on (or small angle), collisions of the protons and, especially, the small emittance and high phase-space density of the AGS at Brookhaven. An informative expression for the optimum luminosity of proton storage rings has been derived by Keil,1 which is obtained by adjusting the amplitude function at the crossing point to the value i p i…”