  We study the modifications of synchrotron radiation of charges in a storage
ring as they are cooled. The pair correlation lengths between the charges are
manifest in the synchrotron radiation and coherence effects exist for
wavelengths longer than the coherence lengths between the charges. Therefore
the synchrotron radiation can be used as a diagnostic tool to determine the
state (gas, liquid, crystal) of the charged plasma in the storage ring. We show
also that the total power of the synchrotron radiation is enormously reduced
for crystallized beams. This opens the possibility of accelerating particles to
ultra-relativistic energies using small-sized cyclic accelerators.
