According to the whole evolution of curvaton, we systematically investigate a broad new class of curvaton scenarios, in which the effective mass of curvaton is running (its potential consists of coupling part and exponential part). In this scenario, the coupling is between the curvaton and inflaton. Consequently, we adopt the narrow and broad resonance to study the production of curvation in terms of preheating, whose criteria comes via the spectral index of curvaton. In order to elaborate this scenario, we implement the δN formalism to calculate the local Non-Gaussianity parameter f N L and the power spectrum P ζ of curvaton. Remarkably, our calculation shows that these two observables are independent of potential of inflaton. Once the constraints are given, these two observables are consistent with the observations. As the curvaton almost decay (inflaton field vanishes), the exponential potential will be approaching a constant of order of cosmological constant, which could play a role of dark energy.