Three-dimensional laser cooling method based on resonant linear coupling

A three-dimensional (3D) laser cooling method of fast stored ion beams base d on a linear coupling mechanism is explored. We extensively study two appr oaches proposed in previous publications, i.e., the dispersive coupling sch eme and the coupling-cavity scheme, confirming how much one Can improve the transverse cooling efficiency. A possible design of a coupling cavity is p resented. We employ the tracking code SAD and the molecular dynamics code S OLID, to carry out reliable numerical experiments where realistic lattice s tructures of storage rings and particle Coulomb interactions are taken into account. Through systematic simulations, it is demonstrated that resonant coupling remarkably enhances transverse cooling rates for any initial beams , making it feasible to reach an equilibrium temperature far below the curr ent achievable level. We further emphasize the crucial importance of avoidi ng the Mathieu instability. We also discuss the minimum cooling power requi red for beam crystallization as well as on an interpretation of past experi mental results in the TSR and ASTRID storage rings. [S1063-651 X(99)01803-5 ].