Coleman-De Luccia tunneling wave function with Non-Minimal coupling

We examine a novel method in Coleman-de Luccia vacuum decay analysis by using tunneling wave function approach with additional non-minimal coupling term. Our approach has an advantage that the wave function analysis needs no time dependence, thus consistent with Wheeler-de Witt equation. In the calculation, we use WKB approximation and Hamilton-Jacobi Equation. We discover that the probability of tunneling is lower than the previous study and the tunneling probability depends on both the false and true vacuum state of the scalar field.