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Title: Measurement of the Longitudinal Deuteron Spin-structure Function in the Deep-Inelastic Scattering [Dissertation]

Technical Report ·
DOI:https://doi.org/10.2172/1454165· OSTI ID:1454165
 [1]
  1. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Univ. of Massachusetts, Amherst, MA (United States)

Experiment E143 at SLAC performed deep-inelastic scattering measurements with polarized electrons incident on polarized protons and deuterons. The data for the beam energy of 29 GeV cover the kinematical range of $^x$Bj > 0.03 and 1 < Q2 < 12 GeV2. From these data, the spin-dependent structure functions g1 were determined. This dissertation describes the experiment and its analysis and discusses the results. The measured integral of $$g^d_1$$ over x from x = 0 to x = 1 is $$Γ^d_1$$ = 0.046 ± 0.003 (stat) ± 0.004 (syst) at Q2 = 3 GeV2 and disagrees by more than three standard deviations with the prediction of the Ellis-Jaffe sum rule. The data suggest that the quark contribution to the nucleon helicity is 0.35 ± 0.05. From the proton data of the same experiment, the integral over the proton spin-structure function $$g^p_1$$ was determined to be $$Γ^p_1$$ = 0.127 ± 0.003 (stat) ± 0.008 (syst). By combining the deuteron data with the proton data, the integral $$Γ^n_1$$ was extracted as ⁻0.027 ± 0.008 (stat) ± 0.010 (syst). The integral $$Γ^p_1$$ ⁻ $$Γ^n_1$$ is 0.154 ± 0.010 (stat) ± 0.016 (syst) according to the E143 analysis. This result agrees with the important Bjorken sum rule of 0.171 ± 0.009 at Q2 = 3 GeV2 within less than one standard deviation. Furthermore, results of a separate analysis involving GLAP evolution equations are shown. Data were also collected for beam energies of 16.2 and 9.7 GeV. Results for $$g_1$$ at these energies are presented.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
AC02-76SF00515
OSTI ID:
1454165
Report Number(s):
SLAC-R-492; TRN: US2308552
Country of Publication:
United States
Language:
English

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