A method for electron beam cooling is considered which can be used for line
ar colliders. The electron beam is cooled during collision with a focused p
owerful laser pulse. The ultimate transverse emittances are much lower than
those achievable by other methods. This method is especially useful for hi
gh-energy photon colliders. In this paper we review and analyze limitations
in this method, discuss a new method of obtaining very high laser powers r
equired for the laser cooling, radiation conditions and finally present a p
ossible scheme for the laser cooling of electron beams. (C) 2000 Elsevier S
cience B.V. All rights reserved.