In the framework of the topcolor-assisted technicolor (TC2) models, we study the production of the top-pions $\pi^{ 0}_{ t}$, $\pi_{ t}^{ \pm}$ via the processes $ep\to\gamma c\to\pi^{ 0}_{ t}c$ and $ep\to\gamma c\to\pi^{ \pm}_{ t}b$ mediated by the anomalous top coupling $tc\gamma$. We find that the production cross section of the process $ep\to\gamma c\to\pi^{ 0}_{ t}c$ is very small. With reasonable values of the parameters in TC2 models, the production cross section of the process $ep\to\gamma c\to\pi^{ \pm}_{ t}b$ can reach $ 1.2pb$. The charged top-pions $\pi^{ \pm}_{ t}$ might be directly observed via this process at the THERA collider based $\gamma p$ collisions.
Categories: hep-ph