Reconstructing a String-Inspired Quintom Model of Dark Energy

In this paper, we develop a simple method for the reconstruction of the string-inspired dark energy model with the lagrangian ${\cal L} = -V (\phi) \sqrt{1 - \alpha' {\nabla}_{\mu} \phi \nabla^{\mu} \phi + \beta' \phi \Box \phi}$ given by Cai et. al., which may allow the equation-of-state parameter cross the cosmological constant boundary $(w=-1)$. We reconstruct this model in the light of three forms of parametrization for dynamical dark energy.