Photon number emission in synchrotron radiation: Systematics for high-energy particles

摘要

A recent derivation of an explicit elementary expression for the mean number 〈N〉 of photons emitted per revolution in synchrotron radiation allows a systematic high-energy analysis leading to the result approx.= 5 πα/(3(1-β~2)~(1/2) + a_0α + πα(1-β~2)~(1/2)/10 3~(1/2), where a_0 is a constant, with relative errors of 2.2%, 0.64%, 0.017%, in comparison to the well-known formula tabulated in the literature of 160%, 82%, 17% for β = 0.8, 0.9, 0.99, respectively.