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$\gamma\gamma\to \Pi_t^0$ is the major production mechanism of neutraltop-pion at the linear colliders. In this paper, we calculate the cross sectionof the process $\gamma\gamma \to \Pi^0_t$ and discuss the potential to observethe neutral top-pion via its various decay modes at the planned ILC. The studyshow that, among the various neutral top-pion production processes at thelinear colliders, the cross section of $\gamma\gamma\to \Pi_t^0$ is the largestone which can reach the level of $10^1-10^2$ fb. Due to the existence of thetree-level flavor-changing coupling $\Pi_t^0 t\bar{c}$, $\gamma\gamma\to\Pi_t^0 \to t\bar{c}$ can provide enough number of typical signals to identifythe neutral top-pion with the clean SM background. Therefore, the process$\gamma\gamma\to \Pi_t^0$ play an important role in searching for the neutraltop-pion and test the TC2 model.Comment: 16 pages, 5 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Study of the single neutral top pion production process at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:math>collider

Study of the single neutral top pion production process atγγcollider