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Measurement of the Induced Proton Polarization P_n in the 12C(e,evec{p}) Reaction

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 Publication date 1997
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The first measurements of the induced proton polarization, P_n, for the 12C (e,evec{p}) reaction are reported. The experiment was performed at quasifree kinematics for energy and momentum transfer (omega,q) approx (294 MeV, 756 MeV/c) and sampled a recoil momentum range of 0-250 MeV/c. The induced polarization arises from final-state interactions and for these kinematics is dominated by the real part of the spin-orbit optical potential. The distorted-wave impulse approximation provides good agreement with data for the 1p_{3/2} shell. The data for the continuum suggest that both the 1s_{1/2} shell and underlying l > 1 configurations contribute.



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We report measurements of the induced polarization $vec P$ of protons knocked out from $^2$H and $^{12}$C via the $A(e,evec p,)$ reaction. We have studied the dependence of $vec P$ on two kinematic variables: the missing momentum $p_{rm miss}$ and the off-coplanarity angle $phi_{pq}$ between the scattering and reaction planes. For the full 360$degree$ range in $phi_{pq}$, both the normal ($P_y$) and, for the first time, the transverse ($P_x$) components of the induced polarization were measured with respect to the coordinate system associated with the scattering plane. $P_x$ vanishes in coplanar kinematics, however in non-coplanar kinematics, it is on the same scale as $P_y$. We find that the dependence on $phi_{pq}$ is sine-like for $P_x$ and cosine-like for $P_y$. For carbon, the magnitude of the induced polarization is especially large when protons are knocked out from the $p_{3/2}$ shell at very small $p_{rm miss}$. For the deuteron, the induced polarization is near zero at small $|p_{rm miss}|$, and its magnitude increases with $|p_{rm miss}|$. For both nuclei such behavior is reproduced qualitatively by theoretical results, driven largely by the spin-orbit part of the final-state interactions. However, for both nuclei, sizeable discrepancies exist between experiment and theory.
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