Abstract

Using the recently discovered property of independent photon emissions at fixed impact distance, an integro-differential equation is set up to give the radiated energy due to beamstrahlung to all orders in the expansion parameter ;L b/ℓ c . HereL b is the bunch length and ℓ c is the coherence length. This integro-differential equation is solved for both the Klein-Gordon case and the physically important Dirac case.

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