\documentclass[12pt]{amsart} \usepackage{geometry} % see geometry.pdf on how to lay out the page. There's lots. \geometry{a4paper} % or letter or a5paper or ... etc % \geometry{landscape} % rotated page geometry % See the ``Article customise'' template for come common customisations \title{} \author{} \date{} % delete this line to display the current date %%% BEGIN DOCUMENT \begin{document} \maketitle \tableofcontents \section{Analysis Progress: Target} E06-014 used the standard Hall A polarized 3He target with two holding field directions: longitudinal and transverse in-plane with respect to the beam direction. To extract the target polarization, we have performed several measurements to calibrate the different target system components. \section{Target Density} Knowledge of the $^3$He target density is crucial for the extraction of the target polarization and the cross sections. The targetŐs cell density is measured by observing the collisional absorption broadening of the D1 and D2 resonance lines of the alkali metal rubidium (Rb) in the presence of the $^3^He gas [23]. We have measured and fit the absorption spectra to compute the $^3$He density, including its pressure broadening (PB), of 8.099 ± 0.032 amg, where an amagat (amg) is 2.687 ?1025 m$^{?3}$.1 1 For reference, a comparable measurement of the $^3$He density in this cell was performed at the University of Virginia before the experiment. The result, including PB, was 7.99 ± 0.01 amg. \section{Thickness of Target Cell} \end{document} The cellŐs glass entrance window and side wall thicknesses are essential input parameters in the calculation of radiative corrections, and eventually, in the extraction of cross sections. The determination of a transparent thin-film thickness can be performed by taking advantage of the interference of the reflected light from the front surface of the film and the reflected/refracted light from its back internal surface as is shown in Figure 15. This interference depends on the difference of the two optical path lengths, and hence on the relative phase of the interacting waves [24]. We have performed several data scans to measure the glass thickness of the polarized $^3$He and reference cells, namely Samantha and GMA respectively. Tables 2 and 3 summarize the side wall and window thicknesses of the two cells. The statistical uncertainty of each measurement is about 2$\%$. The main systematic uncertainty (of < 1$\%$) comes from the determination of the tilt angle between the incident laser and the glass. \section{Electron Paramagnetic Resonance} A measurement of an electron paramagnetic resonance (EPR) uses the stimulated light emission from the targetŐs alkali metals as a magnetometer to measure the net change in the magnetic field magnitude seen by the Rb atoms in the pumping chamber when the $^3$He nuclei are polarized aligned with the external holding field compared to anti-aligned with the same holding field. A summary of the EPR polarization extracted from the measurements taken during the E06-014 running period is shown in Figure 16. Figure 17 shows preliminary polarization measurements for the whole E06-014 running period, based on roughly calibrated NMR measurements and an interpolation of the pumping chamber polarization from the EPR measurements. \section{Nuclear Magnetic Resonance} A water calibration study is in progress and will allow us to determine the target polarization using the adiabatic fast passage (AFP) nuclear magnetic resonance (NMR) measurements taken during the experiment. Since these measurements were performed only three times a day, we will need to interpolate the results in time in order to arrive at a target polarization for each production run. The final target chamber polarization number for each run will be an average of the interpolated NMR result with the interpolated EPR result.