Description
Recent high-precision observations from the DESI collaboration, combined with CMB and supernova data, suggest that DE might be dynamical in nature. Remarkably, the data indicate that the DE equation of state (EoS) may have transitioned from a phantom-like regime (w < −1) in the past to a quintessence-like one (w > −1) today, implying a recent crossing of the phantom divide at w = −1. In this work, we examine a broad class of thawing/decaying scalar-field models -- including quadratic, quartic, exponential, symmetry-breaking, and axion potentials -- evolving within a ghost-free braneworld, where our (3+1)-dimensional Universe is embedded in a (4+1)-dimensional bulk spacetime. Such models arise naturally in higher-dimensional frameworks, including string theory. We show that they can successfully reproduce the observed phantom-divide crossing, yielding an evolution of the Hubble parameter and an effective DE equation of state that closely matches the recent DESI DR2 observations. Our MCMC analysis further demonstrates that these models provide a statistical fit comparable to the widely used CPL parametrization, underscoring their excellent agreement with current data.