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\@writefile{lof}{\contentsline {figure}{\numberline {3.29}{\ignorespaces Helicity dependent cross sections $\mathaccent "707E\relax {s}\mathaccent "707E\relax {u}\left [d\sigma (\mathaccent "017E\relax {e},e'p\gamma )- d\sigma (\mathaccent "017E\relax {e},e'p\gamma )\right ]$ at $\left <x_{\rm  Bj}\right >=0.35$ in 7 bins in $t$, weighted by the Bethe-Heitler propagator $\mathaccent "707E\relax {s}\mathaccent "707E\relax {u}$. Statistics are for 400 hours at ${\@mathcal L}=10^{37}$/cm$^2$/s. The proton array is centered around the nominal $\mathaccent "017E\relax {q}$ direction of $-7^\circ $, but all active detector elements are more than $20^\circ $ from the beam line. The Calorimeter is centered at $-12.5^{\circ }$. The blue points are pseudo data (with error bars) distributed statistically around the values obtained in the simulation. The red curve is a Fourier fit to the pseudo data. }}{81}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3.30}{\ignorespaces Anticipated precision of the extraction of the leading twist $\mathop {\mathgroup \symoperators sin}\nolimits \phi $ and higher twist $\mathop {\mathgroup \symoperators sin}\nolimits 2\phi $ terms as a function of $t$, at $Q^2=6$ GeV$^2$, $s=11$ GeV$^2$ ($x_{\rm  Bj}=0.37$). Statistics are for 400 hour at ${\@mathcal L}=10^{37}$/cm$^2$/s. The horizontal error bands are the widths of the bins. The ratio $B/A$ was fixed at 0.05 in the simulation.}}{82}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3.32}{\ignorespaces Anticipated precision of the extraction of the leading twist $\mathop {\mathgroup \symoperators sin}\nolimits \phi $ and higher twist $\mathop {\mathgroup \symoperators sin}\nolimits 2\phi $ terms as a function of $t$, at $Q^2=7$ GeV$^2$, $s=8$ GeV$^2$ ($\left <x_{\rm  Bj}\right >=0.5$). Statistics are for 400 hour at ${\@mathcal L}=10^{37}$/cm$^2$/s. The horizontal error bands are the widths of the bins. The ratio $B/A$ was fixed at 0.05 in the simulation. }}{84}}
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\@writefile{lot}{\contentsline {table}{\numberline {3.7}{\ignorespaces Kinematics and Rates for Virtual Compton Scattering. Rates are calculated assuming a luminosity of $4.0\cdot 10^{38}$/cm$^2$/s $\times 4$ GeV/$k_e$ (fixed total beam power of 100 $\mu $A $\times 4$ GeV$ = 0.4$ MW. For polarizabilities, only the Bethe-Heitler plus Born contribution is calculated. Based on calculations at $Q^2=4$ GeV$^2$, we expect actual rates to be a factor of 4 higher, with a factor of 2 sensitivity to the polarizabilities. The rates in the ``Soft-Overlap'' section assume $s^{-6}$ scaling, extrapolated from RCS, with a virtual photon flux factor.}}{85}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3.33}{\ignorespaces Virtual Compton Scattering in the ``soft-overlap'' region, with HRS-MAD-calorimeter coincidences. Kinematics are $Q^2 = 2.5$ GeV$^2$, $s=9$ GeV$^2$, and $\theta _{\gamma \gamma }^{\rm  CM} = 155^\circ $. Except for the scatter plot, the vertical axis is counts per bin per hour at a luminosity of $2\cdot 10^{38}$. Upper left: Missing mass-squared in $p(e,e'p)X$; Solid is VCS, dashed is $\pi ^0$, divided by 10. Upper right, scatter plot of transverse coordinates (m) of VCS photons in a plane 1 m from the target, centered at 85 degrees from the beamline. Lower plots: Difference between expected and detected photon positions for VCS and $\pi ^0$ decay photons (solid) and $\pi ^0$ decay photons only (dash). Left plot is polar angle relative to beam axis. Right plot is (laboratory) azimuthal angle. In both plots, a cut $M_X^2 < 0.02$ GeV$^2$ is imposed. In the right plot, a cut of $\pm 0.015$ is imposed on the left plot.}}{92}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3.34}{\ignorespaces The scaled differential cross-section for the $p(\gamma ,\pi ^+)n$ process at C.M. angle of 90$^\circ $, as a function of cms energy squared $s$ in GeV$^2$ along with the projected measurements for JLab at 11 GeV (blue solid points). The red solid points are the projected results from E02-010 and the green solid points show the completed E94-104 data points.}}{93}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3.35}{\ignorespaces The scaled differential cross-section for the $p(\gamma ,\pi ^0)p$ process at C.M. angle of 90$^\circ $, as a function of cms energy squared $s$ in GeV$^2$ along with the projected measurements for JLab at 11 GeV (blue solid points).}}{93}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3.37}{\ignorespaces Induced polarization in deuteron photodisintegration at $\theta _{\rm  cm} = 90^{\circ }$, as a function of photon energy.}}{95}}
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