Extraction of Gⁿ_E Q² =1 - from Measurements of - ³He(e, e)

The neutron electric form factor, Gⁿ_E, is extracted for the first time at Q² = 1 (GeV/c)² from polarized ³(He)\vec−→ e ,e ′ ) measurements in Hall A at Jefferson Lab. By getting the ratio of asymmetries in longitudinal and transverse quasi-elastic 3−→ He( −→ e ,e ′ ), the electric and magnetic contributions can be seperated. The proton and neutron contributions to the ³He quasi-elastic response functions are calculated in PWIA by Salme' et al., and the neutron electric form factor can be extracted. This method of inclusive scattering becomes feasible for the first time due to the falloff of the other form factors at high Q² while Gⁿ_E keeps increasing in units of the dipole form factor. Approximately 20% uncertainty is achieved in the extraction largely contributed by the statistical uncertainties from 3 days of data-taking. All aspects of the measurement will be discussed in this thesis including theoretical model, experiment setup and the details in the analysis.

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