We investigate the single top quark production with the exchange of unparticles through high energy photon-photon collision $gamma gammato t bar c$. The effects of unparticles on the scattering cross sections for different polarization configurations, and for various values of the scaling dimension $d, 1<d<2$ are analysed. It is shown that the $(+-)$ polarisation configuration is more preferable searching for unparticle physics signatures.
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