Synchrotron radiation of crystallized beams

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 w avelengths longer than the coherence lengths between the charges. Therefore , the synchrotron radiation can be used as a diagnostic tool to determine t he state (gas, Liquid, crystal) of the charged plasma in the storage ring. We show also that the total power of the synchrotron radiation is significa ntly reduced for crystallized beams, both coasting and bunched. This opens the possibility of accelerating particles to ultrarelativistic energies usi ng small-sized cyclic accelerators. [S1063-651X(99)07407-3].