Laser Cooling of Ion Beams at PALLAS and ESR

Recent experiments at the ESR storage ring at GSI have shown that it is possible to cool relativistics ions beams using table top laser systems. We present results from these experiments including precision laser spectroscopy measurements of the 2S1/2-2P1/2 and 2S1/2-2P3/2 transition in C3+. We compare the prospects of future laser cooling experiments at GSI and FAIR with experiments on crystalline ion beams caried out at the table top storage ring PALLAS.