Abstract
A gamma-ray beam produced by Compton scattering of a laser beam with an electron beam can be used to measure the electron beam parameters. In several published works, a simple fitting model has been applied to determine the electron beam energy and energy spread without considering the gamma beam collimation and electron beam emittance effects. This fitting model is rederived in this work, and the underlying assumptions and resultant limitations are discussed. To overcome these limitations, a new fitting model is proposed, which takes into account the collimation and emittance effects. Using the new model and a gamma-ray beam produced at the high intensity $\ensuremath{\gamma}$-ray sources facility at Duke University, we have successfully determined the electron beam energy with a relative uncertainty of about $3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ around 460 MeV as well as the electron beam energy spread. We also experimentally demonstrated for the first time that a small relative energy change (about $4\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$) of the electron beam by varying the storage ring dipole field can be directly detected using the Compton scattering technique.
Highlights
The energy of an electron beam in a storage ring can be measured with a relative uncertainty of few 10À3 from the integrated dipole field around the ring
The electron beam energy can be determined with a relative uncertainty on the order of 10À5
We focus on the Compton scattering method
Summary
The energy of an electron beam in a storage ring can be measured with a relative uncertainty of few 10À3 from the integrated dipole field around the ring. Compared to the resonant spin depolarization method, the Compton scattering method does not require a polarized beam, and is based upon the energy measurement of the Compton gamma beam. This method can be used for storage rings with a wide range of energies from a few hundred MeV to a few GeV. We have developed a new fitting model which can describe the gamma beam spectrum in detail, taking into account the collimation and emittance effects Using this model, we have accurately measured the energy of the electron beam in the Duke storage ring. We experimentally demonstrate that this level of accuracy of a few 10À5 can be achieved for a low energy storage ring around a few hundred MeV using well-calibrated detectors
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