Abstract
We demonstrate compression of the velocity spread of a stored ion bunch in an electrostatic ion-beam trap, using the $\ensuremath{\delta}$-kick method. An analytical formula for the optimum pulse is derived and is used in the laboratory. A 20% reduction in the asymptotic velocity spread is observed after application of a single cooling pulse to a bunch of 4.2-keV ${\mathrm{Ar}}^{+}$ ions.
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