By freezing out the motion between particles in a high-energy storage ring,
it should be possible(1-4) to create threads of ions, offering research op
portunities beyond the realm of standard accelerator physics. The usual hea
ting due to intra-beam collisions should completely vanish, giving rise to
a state of unprecedented brilliance. Despite a continuous improvement of be
am cooling techniques, such as electron cooling and laser cooling, the ulti
mate goal(5) of beam crystallization has not yet been reached in high-energ
y storage rings. Electron-cooled dilute beams of highly charged ions show l
iquid-like order(6,7) with unique applications(8). An experiment(5) using l
aser cooling(9,10) suggested a reduction of intra-beam heating, although th
e results were ambiguous. Here we demonstrate the crystallization of laser-
cooled Mg+ beams circulating in the radiofrequency quadrupole storage ring
PALLAS(11,12) at a velocity of 2,800 m s(-1), which corresponds to a beam e
nergy of 1 eV. A sudden collapse of the transverse beam size and the low lo
ngitudinal velocity spread clearly indicate the phase transition. The conti
nuous ring-shaped crystalline beam shows exceptional stability, surviving f
or more than 3,000 revolutions without cooling.