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Possible parameters of Light Sources (LS) based on Backward Rayleigh Scattering (BRS) of laser photons on relativistic ion beams in storage rings are discussed. It was shown that the parameters of the LS based on the RHIC storage ring (dedicated to High Energy Physics now) satisfy the requirements of the 2d generation LS. Using the ordinary or enhanced radiative cooling of ion beams in storage rings by broad-band lasers will permit to decrease essentially their emittance, dimensions, angular and energy spreads and convert them to the next generation of LS.

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