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Title: A Precise Measurement of the Spin Structure Functions G**P(2) G**D(2) from SLAC Experiment E155X

Technical Report ·
DOI:https://doi.org/10.2172/826653· OSTI ID:826653

A precision measurement of the deep inelastic polarized structure functions g{sub 2}{sup p} (x, Q{sup 2}) and g{sub 2}{sup d} (x, Q{sup 2}) and the virtual photon asymmetries A{sub 2}{sup p}(x, Q{sup 2}) and A{sub 2}{sup d}(x, Q{sup 2}) has been made by the E155x collaboration in the ranges 0.02 < x < 0.8 and 0.7 (GeV/c){sup 2} < Q{sup 2} < 20 (GeV/c){sup 2}. The transverse asymmetry (A{sub {perpendicular}}) was measured at SLAC using 29.1 and 32.3 GeV longitudinally polarized electrons incident on transversely polarized target protons and deuterons; the scattered electrons were detected by three fixed angle spectrometers at 2.75{sup o}, 5.5{sup o}, and 10.5{sup o} from the beam line. g{sub 2} was extracted using the measured A{sub {perpendicular}}, an E155 phenomenological fit to g{sub 1}/F{sub 1}, and the SLAC fit to R(x, Q{sup 2}); the function F{sub 1} was obtained from the most recent NMC fit to F{sub 2}(x, Q{sup 2}). The errors on g{sub 2} for both proton and deuteron are more than three times smaller than those of the previously existing world data set, thus enabling the data to resolve clearly between g{sub 2}{sup ww} and zero as well as make distinctions between various models. In addition, the Burkhardt-Cottingham and Efremov-Leader-Teryaev sum rules were evaluated over the measured kinematic region, as well as the d{sub 2} twist-3 matrix element for the proton and neutron.

Research Organization:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (US)
DOE Contract Number:
AC03-76SF00515
OSTI ID:
826653
Report Number(s):
SLAC-R-674; TRN: US0403496
Resource Relation:
Other Information: PBD: 18 Dec 2003
Country of Publication:
United States
Language:
English