The Compton Energy Loss of Electrons in Storage Rings

We examine, in general, the energy loss of electrons caused by the Compton scattering of electrons on black body photons in the storage rings. We derive the scattering rate of electrons in the Planckian photon sea and then the energy loss of electrons per unit length. We discuss possible generalization of our method in particle physics and consider a possible application of our formulas in case of motion of charged particles in the relic cosmological radiation.