Polarization transfer to bound protons measured by quasi-elastic electron scattering on $^{12}$C

We report the measurements of the transverse ($Px$) and longitudinal ($Pz$) components of the polarization transfer to a bound proton in carbon via the quasi-free $^{12}{rm C}(vec e,evec p)$ reaction, over a wide range of missing momenta. We determine these polarization-transfers separately for protons knocked out from the $s$- and $p$-shells. The electron-beam polarization was measured to determine the individual components with systematic uncertainties which allow a detailed comparison with theoretical calculations.