Detecting a light gravitino at linear collider to probe the SUSY breaking scale

If supersymmetry is dynamically broken at a low scale (M_{susy}), within a few orders of magnitude of the weak scale, then the lightest supersymmetric partner is the gravitino and the next to lightest supersymmetric partner is a neutralino \chi^0_1 with mass m_{\chi^0_1}, which can decay into a photon (\gamma) plus a gravitino (\widetilde{G}). We study the detection of e^{-}e^{+}\rightarrow \chi^0_1 \chi^0_1 \rightarrow \gamma\widetilde{G}\gamma\widetilde{G} at the proposed Linear Collider, and find the range of the parameters M_{susy} and m_{\chi^0_1} that can be accessible with a right-hand polarized electron beam at \sqrt{S}=500\,GeV, with 50\,{\rm fb}^{-1} integrated luminosity. We also discuss briefly the accessible range for current electron and hadron colliders