Top Quark Spin Polarization in e \gamma Collision

We investigate the degree of spin polarization of single top quarks in the $e\gamma$ collision via the process $e^{+} \gamma \to t \bar{b} \bar{\nu_{e}}$ with center of mass energies $\sqrt{s}$=0.5, 1 and 1.5 TeV of the parental linear $e^{+}e^{-}$ collider. Dominant spin fractions and spin asymmetries for the various top quark spin bases are investigated. We show that $e^{+}$-beam direction is the favorite top quark spin decomposition axis. It is found to be comparable with the ones in $pp$ and $ep$ collisions.