\contentsline {chapter}{List of Figures}{xiii}
\contentsline {chapter}{List of Tables}{xv}
\contentsline {chapter}{Acknowledgements}{xvi}
\contentsline {chapter}{\hb@xt@ \hsize {Chapter\hfill }}{}
\contentsline {chapter}{\hskip 1.5em \hbox to\@tempdima {1\hfil }Introduction}{1}
\contentsline {section}{\numberline {1.1}Motivation}{3}
\contentsline {section}{\numberline {1.2}Experiment Overview}{7}
\contentsline {chapter}{\hskip 1.5em \hbox to\@tempdima {2\hfil }Theory}{9}
\contentsline {section}{\numberline {2.1}$^3$He Ground State}{9}
\contentsline {section}{\numberline {2.2}Formalism}{10}
\contentsline {section}{\numberline {2.3}Plane-Wave Impulse Approximation}{13}
\contentsline {section}{\numberline {2.4}Final-State Interactions and Meson-Exchange Currents}{19}
\contentsline {section}{\numberline {2.5}Original Laget Calculations}{20}
\contentsline {section}{\numberline {2.6}Faddeev Calculations}{22}
\contentsline {chapter}{\hskip 1.5em \hbox to\@tempdima {3\hfil }Setup of the Experiment}{29}
\contentsline {section}{\numberline {3.1}Overview of CEBAF and Hall A}{29}
\contentsline {section}{\numberline {3.2}CEBAF and the Electron Beam}{31}
\contentsline {subsection}{\numberline {3.2.1}Injector}{32}
\contentsline {subsection}{\numberline {3.2.2}Linear Accelerators}{32}
\contentsline {subsection}{\numberline {3.2.3}Recirculating Arcs}{33}
\contentsline {subsection}{\numberline {3.2.4}Beam Switchyard}{33}
\contentsline {section}{\numberline {3.3}Hall A}{33}
\contentsline {subsection}{\numberline {3.3.1}Beam Measurements}{34}
\contentsline {subsubsection}{\numberline {3.3.1.1}Arc Energy Measurements}{34}
\contentsline {subsubsection}{\numberline {3.3.1.2}Beam Current Monitors}{35}
\contentsline {subsubsection}{\numberline {3.3.1.3}Beam Raster}{36}
\contentsline {subsubsection}{\numberline {3.3.1.4}Beam Position Monitors}{37}
\contentsline {subsubsection}{\numberline {3.3.1.5}M$\o $ller Polarimeter}{38}
\contentsline {subsection}{\numberline {3.3.2}Polarized $^3$He Target}{39}
\contentsline {subsubsection}{\numberline {3.3.2.1}Target Cell}{40}
\contentsline {subsubsection}{\numberline {3.3.2.2}Optical Pumping System}{42}
\contentsline {subsubsection}{\numberline {3.3.2.3}NMR and EPR}{44}
\contentsline {subsection}{\numberline {3.3.3}High Resolution Spectrometer}{44}
\contentsline {subsubsection}{\numberline {3.3.3.1}Vertical Drift Chambers}{44}
\contentsline {subsubsection}{\numberline {3.3.3.2}Trigger Scintillators}{47}
\contentsline {subsubsection}{\numberline {3.3.3.3}Gas \v {C}erenkov}{48}
\contentsline {subsubsection}{\numberline {3.3.3.4}Electromagnetic Calorimeters}{49}
\contentsline {subsection}{\numberline {3.3.4}Hall A Neutron Detector}{50}
\contentsline {section}{\numberline {3.4}Kinematics}{55}
\contentsline {chapter}{\hskip 1.5em \hbox to\@tempdima {4\hfil }Particle Identification}{57}
\contentsline {section}{\numberline {4.1}Electron Identification}{57}
\contentsline {subsection}{\numberline {4.1.1}HRS Optics}{57}
\contentsline {subsection}{\numberline {4.1.2}Pion Contamination}{61}
\contentsline {subsection}{\numberline {4.1.3}Glass Window Contamination}{62}
\contentsline {subsection}{\numberline {4.1.4}Elastic and Quasi-Elastic Peaks}{62}
\contentsline {subsection}{\numberline {4.1.5}Events in RHRS Acceptance}{65}
\contentsline {section}{\numberline {4.2}Summary of Electron Cuts}{65}
\contentsline {section}{\numberline {4.3}Neutron Identification}{67}
\contentsline {subsection}{\numberline {4.3.1}Neutron Selection via Veto bars}{67}
\contentsline {subsection}{\numberline {4.3.2}TDC Calibration}{67}
\contentsline {subsection}{\numberline {4.3.3}Time of Flight}{69}
\contentsline {chapter}{\hskip 1.5em \hbox to\@tempdima {5\hfil }Dilutions and Uncertainties}{73}
\contentsline {section}{\numberline {5.1}Polarization of Target and Beam}{73}
\contentsline {subsection}{\numberline {5.1.1}Target Polarization}{73}
\contentsline {subsection}{\numberline {5.1.2}Beam Polarization}{77}
\contentsline {section}{\numberline {5.2}Proton Contamination}{78}
\contentsline {subsection}{\numberline {5.2.1}Nucleons Along the q-vector}{79}
\contentsline {subsection}{\numberline {5.2.2}Protons Detected by HAND}{81}
\contentsline {section}{\numberline {5.3}Nitrogen Contamination}{83}
\contentsline {section}{\numberline {5.4}Uncertainty Analysis}{85}
\contentsline {subsection}{\numberline {5.4.1}$A_y^0$ Uncertainty Analysis}{85}
\contentsline {subsection}{\numberline {5.4.2}$A_L$ and $A_T$ Uncertainty Analysis}{89}
\contentsline {chapter}{\hskip 1.5em \hbox to\@tempdima {6\hfil }Results and Discussion}{91}
\contentsline {section}{\numberline {6.1}Asymmetry Measurements}{91}
\contentsline {section}{\numberline {6.2}Vertical $^3\mathrm {He}^{\delimiter "3222378 }(e,e'n$) Asymmetries}{92}
\contentsline {section}{\numberline {6.3}Transverse $^3\mathaccentV {vec}17E{\mathrm {He}}(\mathaccentV {vec}17E{e},e'n$) Asymmetries}{97}
\contentsline {section}{\numberline {6.4}Longitudinal $^3\mathaccentV {vec}17E{\mathrm {He}}(\mathaccentV {vec}17E{e},e'n$) Asymmetries}{100}
\contentsline {section}{\numberline {6.5}Summary}{103}
\contentsline {chapter}{Bibliography}{105}
\contentsline {chapter}{\hb@xt@ \hsize {Appendix A\hfill } Quasi-Elastic Family Collaboration List}{109}
\contentsline {chapter}{\hb@xt@ \hsize {Appendix B\hfill } Nucleon Form Factors}{112}
\contentsline {chapter}{\hb@xt@ \hsize {Appendix C\hfill } Veto Bars used for HAND}{114}