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Polarization transfer to a bound proton in polarized electron knock-outreactions, $\mathrm{A}(\vec{e},e^{\prime}\vec{p})$, is a powerful tool to lookfor in-medium modification of the bound proton. It requires comparison tocalculations which consider the many-body effects accompanying the quasi-freeprocess. We report here measured components $P_x^{\prime}$, $P_z^{\prime}$, andtheir ratio $P_x^{\prime}/P_z^{\prime}$, of polarization transfer to protonsbound in $^{40}\mathrm{Ca}$, which is described well by the shell model and forwhich reliable calculations are available. While the calculations capture theessence of the data, our statistical precision allows us to observe deviationswhich cannot be explained by simple scaling, including by varying the protonelectromagnetic form factor ratio $G_E/G_M$. We further explore the deviationsof the ratio of the polarization transfer components from that of a freeproton, $(P_x^{\prime}/P_z^{\prime})_{\rm A}/(P_x^{\prime}/P_z^{\prime})_{\rmH}$, and its dependence on the bound-proton virtuality.

Measurement of polarization transfer in the quasi-elastic $^{40}{\rm Ca}(\vec{e},e' \vec{p})$ process