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Electron polarimetry and Møller scattering

To measure the beam polarization the Møller scattering technique will be used. Longitudinally polarized beam electrons will scatter from a target which contains longitudinally polarized atomic electrons. The counting rate of the scattered electron depends on whether the spins of the electrons are parallel or anti-parallel. The ratio of the two counting rates is a measure for beam polarization:

equation342

where tex2html_wrap_inline1840 and tex2html_wrap_inline1842 are the beam and target polarization, tex2html_wrap_inline1844 the asymmetry coefficients. For energies higher than 1 GeV, there are only three non zero asymmetry coefficients tex2html_wrap_inline1846 = -1/9, tex2html_wrap_inline1850 = +1/9 and tex2html_wrap_inline1852 = -7/9 (maximum values).

Background under the Møller peak is dominated by Mott scattering and its radiative tail. To reduce this background the coincidence technique will be used by detecting scattered and recoiling electron in coincidence. The easiest geometry corresponds to a detection under 90 tex2html_wrap_inline1808 CM. tex2html_wrap_inline1852 there has its maximum and the cross section is (independent of energy)

equation363

For energies between 1 and 6 GeV the corresponding 90 tex2html_wrap_inline1808 CM angles are in the range 1.8 tex2html_wrap_inline1862 to 0.75 tex2html_wrap_inline1862 in the lab frame.





Donal Day, University of Virginia