LASER COOLING AND CRYSTALLINE BEAMS IN STORAGE-RINGS

We discuss problems of beams with high phase-space densities and an ev entual crystalline ordering. In particular, we address ourselves to th e effect of laser cooling in connection with an accelerator design dev oted to crystalline beams. We find that standard longitudinal laser co oling becomes inefficient for temperatures above the transition to cry stalline order because a conflict with the accelerator dispersion func tion develops towards lower temperatures. We demonstrate that the obst acle can be overcome by using graded laser cooling which is designed t o match with the dispersion function of the given accelerator. (C) 199 8 Elsevier Science B.V. All rights reserved.