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

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

2004-11-18

arxiv.org/abs/hep-ph/0411238v1

Nuovo Cim.B119:9-15,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, no figures, LaTeX with cimento.cls

Scientific paper

10.1393/ncb/i2002-10011-4

A recent derivation of an explicit elementary expression for the mean number $$ of photons emitted per revolution in synchrotron radiation allows a systematic high-energy analysis leading to the result $\simeq 5\pi\alpha/\sqrt{3(1-\beta^2)}+a_0\alpha+\pi\alpha\sqrt{1-\beta^2}/10\sqrt{3}$ 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 $\beta=0.8$, 0.9, 0.99, respectively.

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